### Physics Questions

## On moving a charge of 20 coulomb by 2 cm, 2 J of work is done, then what will be the potential difference between the points?

On moving a charge of 20 coulomb by 2 cm, 2 J of work is done, then what will be the potential difference between the points?

## A charged particle q is placed at the centre O of cube of length L (ABCDEFGH). Another same charge q is placed at a distance L from O. Then the electric flux through ABCD is

A charged particle *q* is placed at the centre *O* of cube of length *L (ABCDEFGH)*. Another same charge *q* is placed at a distance *L *from *O*. Then the electric flux through *ABCD* is

## If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to

If there are n capacitors in parallel connected to *V *volt source, then the energy stored is equal to

## If a charge q is placed at the centre of the line joining two equal charges Q such that the system is in equilibrium then what will be the value of q?

If a charge *q* is placed at the centre of the line joining two equal charges *Q* such that the system is in equilibrium then what will be the value of *q?*

## What is capacitance (in F) of a spherical conductor with radius 1 meter?

What is capacitance (in F) of a spherical conductor with radius 1 meter?

## If Ihe electric flux entering and leaving an enclosed surface respectively is the electric charge inside the surface will be

If Ihe electric flux entering and leaving an enclosed surface respectively is the electric charge inside the surface will be

## A sheet of aluminum foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor

A sheet of aluminum foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor

## A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point P at a distance R/2 from the centre of the shell is

A thin spherical conducting shell of radius R has a charge *q*. Another charge *Q* is placed at the centre of the shell. The electrostatic potential at a point *P* at a distance *R/2* from the centre of the shell is

## What is the work done in placing a charge of 8 × 10-18 coulomb on a condenser of capacity 100 micro-farad?

What is the work done in placing a charge of 8 × 10^{-18} coulomb on a condenser of capacity 100 micro-farad?

## Three charges –q1, +q2 and –q3 are placed as shown in the figure. The x-component of the force on –q1 is proportional to

Three charges *–q _{1}, +q_{2} *and

*–q*are placed as shown in the figure. The

_{3}*x-*component of the force on

*–q*is proportional to

_{1}## Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force F when kept apart at some distance. A third spherical conductor having the same radius as that of B but uncharged is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is

Two spherical conductors *B* and *C* having equal radii and carrying equal charges in them repel each other with a force *F* when kept apart at some distance. *A* third spherical conductor having the same radius as that of *B* but uncharged is brought in contact with *B*, then brought in contact with *C *and finally removed away from both. The new force of repulsion between *B* and *C* is

## A charged particle q is shot towards another charged particle Q which is fixed, with a speed v. It approaches Q upto a closest distance r and then returns. If q were given a speed 2v, what will b the closest distances of approach?

A charged particle *q* is shot towards another charged particle *Q* which is fixed, with a speed *v*. It approaches *Q* upto a closest distance* r* and then returns. If *q* were given a speed *2v*, what will b the closest distances of approach?

## Four charges equal to –Q are placed at the four corners of a square and a charge q is at its centre. What is the value of q If the system is in equilibrium?

Four charges equal to* –Q* are placed at the four corners of a square and a charge *q* is at its centre. What is the value of *q* If the system is in equilibrium?

## A charged ball B hangs from a silk thread S, which makes an with a large charged conducting sheet P, as shown in the figure. The surface charge density of the sheet is proportional to

A charged ball *B* hangs from a silk thread *S*, which makes an with a large charged conducting sheet *P*, as shown in the figure. The surface charge density of the sheet is proportional to

## A and B are two concentric hollow conductors having radii a and 2a and charged 2Q and Q respectively.If potential of outer sphere is 5V then potential of inner sphere is?

A and B are two concentric hollow conductors having radii a and 2a and charged 2Q and Q respectively.If potential of outer sphere is 5V then potential of inner sphere is?

## On moving a charge of 20 coulomb by 2 cm, 2 J of work is done, then what will be the potential difference between the points?

## A charged particle q is placed at the centre O of cube of length L (ABCDEFGH). Another same charge q is placed at a distance L from O. Then the electric flux through ABCD is

A charged particle *q* is placed at the centre *O* of cube of length *L (ABCDEFGH)*. Another same charge *q* is placed at a distance *L *from *O*. Then the electric flux through *ABCD* is

## If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to

If there are n capacitors in parallel connected to *V *volt source, then the energy stored is equal to

## Which of the following is more close to a black body?

Which of the following is more close to a black body?

## Two spheres of the same material have radii 1 m and 4 m and temperatures 4000 K and 2000 K respectively. What is the ratio of the energy radiated per second by the first sphere to that by the second?

Two spheres of the same material have radii 1 m and 4 m and temperatures 4000 K and 2000 K respectively. What is the ratio of the energy radiated per second by the first sphere to that by the second?

## The earth radiates in the infrared region of the spectrum. The wavelength of the maximum intensity of the spectrum is correctly given by

The earth radiates in the infrared region of the spectrum. The wavelength of the maximum intensity of the spectrum is correctly given by

## According to Newton's law of cooling, the rate of cooling of a body is proportional to where is the difference of the temperature of the body and the surroundings, and n is equal to

According to Newton's law of cooling, the rate of cooling of a body is proportional to where is the difference of the temperature of the body and the surroundings, and *n* is equal to

## If the temperature of the sun were to increase from T to 2T and its radius from R to 2R, then the ratio of the radiant energy received on earth to what it was previously will be

If the temperature of the sun were to increase from *T* to *2T* and its radius from *R* to *2R*, then the ratio of the radiant energy received on earth to what it was previously will be

## Radiation of energy E falls normally on a perfectly reflecting surface. What is the momentum transferred to the surface?

Radiation of energy *E* falls normally on a perfectly reflecting surface. What is the momentum transferred to the surface?

## The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity K and 2K and thickness x and 4x, respectively are T2 and T1 (T2 > T1). The rate of heat transfer through the slab, in a steady state is , with equal to

The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity *K* and *2K* and thickness *x* and *4x*, respectively are *T _{2 }* and

*T*

_{1 }(

*T*). The rate of heat transfer through the slab, in a steady state is , with equal to

_{2 }> T_{1}## The figure shows a system of two concentric spheres of radii r1 and r2 and kept at temperatures T1 and T2, respectively. The radial rate of flow of heat in a substance between the two concentric spheres is proportional to

The figure shows a system of two concentric spheres of radii *r*_{1 }and *r _{2}* and kept at temperatures

*T*

_{1 }and

*T*respectively. The radial rate of flow of heat in a substance between the two concentric spheres is proportional to

_{2},## Assuming the sun to be a spherical body of radius R at a temperature of TK, evaluate the total radiant power, incident on earth, at a distance r from the sun. Note: r0 is the radius of the earth and is Stefan's constant.

Assuming the sun to be a spherical body of radius *R* at a temperature of *TK*, evaluate the total radiant power, incident on earth, at a distance *r* from the sun.

Note: r_{0} is the radius of the earth and is Stefan's constant.

## One end of a thermally insulated rod is kept at a temperature T1 and the other at T2. The rod is composed of two sections of lengths l1 and l2 and thermal conductivities K1 and K2 respectively. What would be the temperature at the interface of the two sections? -0

One end of a thermally insulated rod is kept at a temperature *T _{1}* and the other at

*T*The rod is composed of two sections of lengths

_{2}.*l*and

_{1}*l*and thermal conductivities

_{2}*K*and

_{1}*K*respectively. What would be the temperature at the interface of the two sections?

_{2}-0

## One end of a thermally insulated rod is kept at a temperature T1 and the other at T2. The rod is composed of two sections of lengths l1 and l2 and thermal conductivities K1 and K2 respectively. What would be the temperature at the interface of the two sections? -0

One end of a thermally insulated rod is kept at a temperature *T _{1}* and the other at

*T*The rod is composed of two sections of lengths

_{2}.*l*and

_{1}*l*and thermal conductivities

_{2}*K*and

_{1}*K*respectively. What would be the temperature at the interface of the two sections?

_{2}-0

## Heat given to a body which raises its temperature by 1°C is

Heat given to a body which raises its temperature by 1°C is

## Which statement is incorrect?

Which statement is incorrect?

## Cooking gas containers are kept in a lorry moving with uniform speed. What will be the temperature of the gas molecules inside?

Cooking gas containers are kept in a lorry moving with uniform speed. What will be the temperature of the gas molecules inside?

## At what temperature is the r.m.s. velocity of a hydrogen molecule is equal to that of an oxygen molecule at 47°C?

At what temperature is the r.m.s. velocity of a hydrogen molecule is equal to that of an oxygen molecule at 47°C?

## Even Carnot engine cannot give 100% efficiency because we cannot

Even Carnot engine cannot give 100% efficiency because we cannot

## 1 mole of a gas with = 7/5 is mixed with 1 mole of a gas with = 5/3, then what is the value of for the resulting mixture?

1 mole of a gas with = 7/5 is mixed with 1 mole of a gas with = 5/3, then what is the value of for the resulting mixture?

## Heat cannot by itself flow from a body at lower temperature to a body at the higher temperature, is a statement or consequence of

Heat cannot by itself flow from a body at lower temperature to a body at the higher temperature, is a statement or consequence of

## During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio for the gas is

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio for the gas is

## Which of the following parameters does not characterize the thermodynamic state of matter? temperature / pressure / work / volume

Which of the following parameters does not characterize the thermodynamic state of matter?

temperature / pressure / work / volume

## A Carnot engine takes 3 × 106 cal of heat from a reservoir at 627°C, and gives it to a sink at 27°C. What is the work done by the engine?

A Carnot engine takes 3 × 10^{6 }cal of heat from a reservoir at 627°C, and gives it to a sink at 27°C. What is the work done by the engine?

## One mole of ideal monoatomic gas is mixed with one mole of diatomic gas . What is for the mixture? Note: denotes the ratio of specific heat at constant pressure, to that at constant volume.

One mole of ideal monoatomic gas is mixed with one mole of diatomic gas . What is for the mixture?

Note: denotes the ratio of specific heat at constant pressure, to that at constant volume.

## Which of the following statements is correct for any thermodynamic system?

Which of the following statements is correct for any thermodynamic system?

## Which of the following statements is correct for any thermodynamic system?

Which of the following statements is correct for any thermodynamic system?

## Which of the following statements is correct for any thermodynamic system?

Which of the following statements is correct for any thermodynamic system?

## Two thermally insulated vessels 1 and 2 are filled with air at temperatures (T1, T2 ), volume (V1, V2 ), and pressure (P1, P2 ), respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

Two thermally insulated vessels 1 and 2 are filled with air at temperatures *(T _{1}, T_{2} )*, volume

*(V*, and pressure

_{1}, V_{2})*(P*, respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

_{1}, P_{2})## Which of the following is incorrect regarding the first law of thermodynamics?

Which of the following is incorrect regarding the first law of thermodynamics?

## The temperature entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is

The temperature entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is

## A system goes from A to B via two processes I and II as shown in the below figure. If and are the changes in internal energies in the processes I and II respectively, then

A system goes from *A* to *B* via two processes I and II as shown in the below figure. If and are the changes in internal energies in the processes I and II respectively, then

## A gaseous mixture consists of 16 g of helium and 16 g of oxygen. What is the ratio Cp / Cv Vof the mixture?

A gaseous mixture consists of 16 g of helium and 16 g of oxygen. What is the ratio C_{p} / C_{v} Vof the mixture?

## The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7ºC. The gas is (R = 8.3 J mol-1 K-1)

The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7ºC. The gas is (R = 8.3 J mol^{-1} K^{-1})

## Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T0, while Box B contains one mole of helium at temperature (7/3) T0. The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature. (Ignore the heat capacity of boxes). Then, what will be the final temperature of the gases, Tf, in terms of T0?

Two rigid boxes containing different ideal gases are placed on a table. Box *A* contains one mole of nitrogen at temperature *T _{0}*, while Box

*B*contains one mole of helium at temperature (7/3)

*T*. The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature. (Ignore the heat capacity of boxes). Then, what will be the final temperature of the gases,

_{0}*T*, in terms of

_{f}*T*?

_{0}## When a system is taken from state i to state f along the path iaf, it is found that Q = 50 cal and W = 20 cal. Along the path ibf Q = 36 cal. W along the path ibf is

When a system is taken from state *i* to state *f* along the path *iaf*, it is found that *Q* = 50 cal and *W* = 20 cal. Along the path *ibf* *Q* = 36 cal. *W* along the path *ibf* is

## A Carnot engine, having an efficiency of n = 1/10 as a heat engine, is used as a refrigerator. If the work done on the system is 10 J, what will be the amount of energy absorbed from the reservoir at a lower temperature?

A Carnot engine, having an efficiency of *n* = 1/10 as a heat engine, is used as a refrigerator. If the work done on the system is 10 J, what will be the amount of energy absorbed from the reservoir at a lower temperature?

## If CP and Cv denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then

If C_{P} and C_{v }denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then

## An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume V1 and contains ideal gas at pressure P1 and temperature T1. The other chamber has volume V2 and contains ideal gas at pressure P2 and temperature T2. If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume *V _{1}* and contains ideal gas at pressure

*P*and temperature

_{1}*T*The other chamber has volume

_{1}.*V*and contains ideal gas at pressure P

_{2}*and temperature T*

_{2}*. If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be*

_{2}## A body is thrown vertically up to reach its maximum height in t seconds. The total time from the time of projection to reach a point at half of its maximum height while returning (in seconds) is

## Tube A has both ends open while tube B has one end closed, otherwise they are identical. What is the ratio of the fundamental frequency of tube A and B?

Tube A has both ends open while tube B has one end closed, otherwise they are identical. What is the ratio of the fundamental frequency of tube A and B?

## A tuning fork arrangement (pair) produces 4 beats/sec with one fork of frequency 288 cps. A little wax is placed on the unknown fork and it then produces 2 beats/sec. What is the frequency of the unknown fork?

A tuning fork arrangement (pair) produces 4 beats/sec with one fork of frequency 288 cps. A little wax is placed on the unknown fork and it then produces 2 beats/sec. What is the frequency of the unknown fork?

## A wave on a string meets with another wave producing a node at x = 0. Then the equation of the unknown wave is

A wave on a string meets with another wave producing a node at *x* = 0. Then the equation of the unknown wave is

## Length of a string tied to two rigid supports is 40 cm. Maximum length (wavelength in cm) of a stationary wave produced on it is

Length of a string tied to two rigid supports is 40 cm. Maximum length (wavelength in cm) of a stationary wave produced on it is

## The displacement y of a wave travelling in the x direction is given by where x is expressed in metre and t in second. The speed of the wavemotion, in ms-1 is

The displacement *y* of a wave travelling in the *x* direction is given by

where *x* is expressed in metre and *t* in second. The speed of the wavemotion, in ms^{-1 }is

## The displacement of a particle varies according to the relation The amplitude of the particle is

The displacement of a particle varies according to the relation The amplitude of the particle is

## A metal wire of a linear mass density of 9.8 g/m is stretched with a tension of 10 kg-wt between two rigid supports 1 metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency u. The frequency u of the alternating source is

A metal wire of a linear mass density of *9.8 g/m* is stretched with a tension of 10* kg-wt* between two rigid supports 1 metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency *u*. The frequency *u* of the alternating source is

## A tuning fork of known frequency 256 Hz makes 5 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

A tuning fork of known frequency 256 Hz makes 5 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

## The displacement y of a particle in a medium can be expressed as: m, where t is in second and x in the meter. What is the speed of the wave?

The displacement y of a particle in a medium can be expressed as:

*m*, where *t* is in second and* x* in the meter.

What is the speed of the wave?

## When two tuning forks (fork 1 and fork 2) are sounded simultaneously, 4 beats per second are heard. Now, some tape is attached on the prong of the fork 2. When the tuning forks are sounded again, 6 beats per second are heard. if the frequency of fork 1 is 200 Hz, then what was the original frequency of fork 2?

When two tuning forks (fork 1 and fork 2) are sounded simultaneously, 4 beats per second are heard. Now, some tape is attached on the prong of the fork 2. When the tuning forks are sounded again, 6 beats per second are heard. if the frequency of fork 1 is 200 Hz, then what was the original frequency of fork 2?

## An observer moves towards a stationary source of the sound, with a velocity onefifth of the velocity of sound. What is the percentage increase in the apparent frequency?

An observer moves towards a stationary source of the sound, with a velocity onefifth of the velocity of sound. What is the percentage increase in the apparent frequency?

## A whistle producing sound waves of frequencies 9500 Hz and above is approaching a stationary person with speed v ms-1. The velocity of sound in air is 300 ms-1. If the person can hear frequencies upto a maximum of 10000 Hz, the maximum value of v upto which he can hear the whistle is

A whistle producing sound waves of frequencies 9500 Hz and above is approaching a stationary person with speed *v* ms^{-1}. The velocity of sound in air is 300 ms^{-1}. If the person can hear frequencies upto a maximum of 10000 Hz, the maximum value of *v* upto which he can hear the whistle is

## A string is stretched between fixed points separated by 75 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is

A string is stretched between fixed points separated by 75 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is

## A sound absorber attenuates the sound level by 20 dB. The intensity decreases by a factor of

A sound absorber attenuates the sound level by 20 dB. The intensity decreases by a factor of

## The speed of sound in oxygen (O2) at a certain temperature is 460 ms-1. The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal)

The speed of sound in oxygen (O_{2}) at a certain temperature is 460 ms^{-1}. The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal)

## A wave traveling along thexaxis is described by the equation . If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then a and b in appropriate units are

A wave traveling along thexaxis is described by the equation . If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then a and b in appropriate units are

## Tube A has both ends open while tube B has one end closed, otherwise they are identical. What is the ratio of the fundamental frequency of tube A and B?

## A tuning fork arrangement (pair) produces 4 beats/sec with one fork of frequency 288 cps. A little wax is placed on the unknown fork and it then produces 2 beats/sec. What is the frequency of the unknown fork?

## A wave on a string meets with another wave producing a node at x = 0. Then the equation of the unknown wave is

*x* = 0. Then the equation of the unknown wave is

## Length of a string tied to two rigid supports is 40 cm. Maximum length (wavelength in cm) of a stationary wave produced on it is

## The displacement y of a wave travelling in the x direction is given by where x is expressed in metre and t in second. The speed of the wavemotion, in ms-1 is

The displacement *y* of a wave travelling in the *x* direction is given by

where *x* is expressed in metre and *t* in second. The speed of the wavemotion, in ms^{-1 }is

## The displacement of a particle varies according to the relation The amplitude of the particle is

The displacement of a particle varies according to the relation The amplitude of the particle is

## A metal wire of a linear mass density of 9.8 g/m is stretched with a tension of 10 kg-wt between two rigid supports 1 metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency u. The frequency u of the alternating source is

A metal wire of a linear mass density of *9.8 g/m* is stretched with a tension of 10* kg-wt* between two rigid supports 1 metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency *u*. The frequency *u* of the alternating source is

## A tuning fork of known frequency 256 Hz makes 5 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

## The displacement y of a particle in a medium can be expressed as: m, where t is in second and x in the meter. What is the speed of the wave?

The displacement y of a particle in a medium can be expressed as:

*m*, where *t* is in second and* x* in the meter.

What is the speed of the wave?

## When two tuning forks (fork 1 and fork 2) are sounded simultaneously, 4 beats per second are heard. Now, some tape is attached on the prong of the fork 2. When the tuning forks are sounded again, 6 beats per second are heard. if the frequency of fork 1 is 200 Hz, then what was the original frequency of fork 2?

## An observer moves towards a stationary source of the sound, with a velocity onefifth of the velocity of sound. What is the percentage increase in the apparent frequency?

## A whistle producing sound waves of frequencies 9500 Hz and above is approaching a stationary person with speed v ms-1. The velocity of sound in air is 300 ms-1. If the person can hear frequencies upto a maximum of 10000 Hz, the maximum value of v upto which he can hear the whistle is

A whistle producing sound waves of frequencies 9500 Hz and above is approaching a stationary person with speed *v* ms^{-1}. The velocity of sound in air is 300 ms^{-1}. If the person can hear frequencies upto a maximum of 10000 Hz, the maximum value of *v* upto which he can hear the whistle is

## A string is stretched between fixed points separated by 75 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is

## A sound absorber attenuates the sound level by 20 dB. The intensity decreases by a factor of

A sound absorber attenuates the sound level by 20 dB. The intensity decreases by a factor of

## The speed of sound in oxygen (O2) at a certain temperature is 460 ms-1. The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal)

The speed of sound in oxygen (O_{2}) at a certain temperature is 460 ms^{-1}. The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal)

## A wave traveling along thexaxis is described by the equation . If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then a and b in appropriate units are

## If a simple harmonic motion is represented by its time period is

If a simple harmonic motion is represented by its time period is

## The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During the observation, till water is coming out, the time period of oscillation would

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During the observation, till water is coming out, the time period of oscillation would

## Starting from the origin, a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy by 75% of the total energy?

Starting from the origin, a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy by 75% of the total energy?

## The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. What is the period of oscillation?

The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. What is the period of oscillation?

## A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency w. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency w. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

## In a simple harmonic oscillator, at the mean position

In a simple harmonic oscillator, at the mean position

## If a spring has time period T, and is cut into n equal parts, then the time period of each part will be

If a spring has time period *T*, and is cut into *n* equal parts, then the time period of each part will be

## In a simple harmonic oscillator, at the mean position

In a simple harmonic oscillator, at the mean position

## A child swinging on a swing in sitting position stands up, then the time period of the swing will increase / decrease / remains same /increases if the child is long and decreases if the child is short.

A child swinging on a swing in sitting position stands up, then the time period of the swing will

increase / decrease / remains same /increases if the child is long and decreases if the child is short.

## Two particles A and B of equal masses are suspended from two massless springs of spring constants k1 and k2, respectively. If the maximum velocities, during oscillations, are equal, the ratio of amplitudes of A and B is

Two particles *A* and *B* of equal masses are suspended from two massless springs of spring constants *k _{1}* and

*k*, respectively. If the maximum velocities, during oscillations, are equal, the ratio of amplitudes of

_{2}*A*and

*B*is

## The length of a simple pendulum executing simple harmonic motion is increased by 21%. Then what will be the percentage increase in the time period of the pendulum of increased length?

The length of a simple pendulum executing simple harmonic motion is increased by 21%. Then what will be the percentage increase in the time period of the pendulum of increased length?

## A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as a function of displacement x. Which of the following statement is true?

A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as a function of displacement *x*. Which of the following statement is true?

## The bob of a simple pendulum executes simple harmonic motion in water with a period t, while the period of oscillation of the bob is t0 in air. Neglecting frictional force of water and given that the density of the bob is (4/3) × 1000 kg/m3. What relationship between t and t0 is true?

The bob of a simple pendulum executes simple harmonic motion in water with a period *t*, while the period of oscillation of the bob is t_{0 }in air. Neglecting frictional force of water and given that the density of the bob is (4/3) × 1000 kg/m^{3}. What relationship between *t* and *t _{0}* is true?

## A particle at the end of a spring executes simple harmonic motion with a period t1, while the corresponding period for another spring is t2. If the period of oscillation with the two springs in series is T, then

A particle at the end of a spring executes simple harmonic motion with a period t_{1}, while the corresponding period for another spring is t_{2}. If the period of oscillation with the two springs in series is *T*, then

## The total energy of a particle, executing simple harmonic motion is : x / x2 / independent of x / x1/2 where x is the displacement from the mean position.

The total energy of a particle, executing simple harmonic motion is :

x / x^{2} / independent of x / x^{1/2}

where x is the displacement from the mean position.

## A particle of mass m is attached to a spring (of spring constant k) and has a natural angular frequency An external force F(t) proportional tois applied to the oscillator. The time displacement of the oscillator will be proportional to

A particle of mass m is attached to a spring (of spring constant *k*) and has a natural angular frequency An external force F(*t*) proportional tois applied to the oscillator. The time displacement of the oscillator will be proportional to

## In forced oscillation of a particle the amplitude is maximum for a frequency w1 of the force, while the energy is maximum for a frequency w2 of the force, then

In forced oscillation of a particle the amplitude is maximum for a frequency *w*1 of the force, while the energy is maximum for a frequency *w*2 of the force, then

## The functionrepresents

The functionrepresents

## Two simple harmonic motions are represented by the equations and . The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is

Two simple harmonic motions are represented by the equations and . The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is

## A point oscillates along the x axis according to the law x a cos (cot â€” n/4). Draw the approximate plots (a) of displacement x, velocity projection vx, and acceleration projection wx as functions of time t; (b) velocity projection vx and acceleration projection wx as func- tions of the coordinate x.

A point oscillates along the x axis according to the law . Draw the approximate plots

(a) of displacement x, velocity projection vx, and acceleration projection wx as functions of time t;

(b) velocity projection vx and acceleration projection wx as func- tions of the coordinate x.

## Two identical discs of mass m and of radius R touch each other and move with the same velocity perpendicularly to the line segment which joins their centres of mass, along the surface of a horizontal smooth tabletop. There is a third disc of mass M and of radius R at rest, at a point on the perpendicular bisector of the line segment joining the centres of mass of the two moving discs as shown in the figure. The two moving discs collide elastically with the third one, which is at rest. There is no friction between the rims of the discs. What should the ratio of M/m be in order that after the collision the two discs of mass m move perpendicularly to their initial velocity?

Two identical discs of mass m and of radius R touch each other and move with the same velocity perpendicularly to the line segment which joins their centres of mass, along the surface of a horizontal smooth tabletop. There is a third disc of mass M and of radius R at rest, at a point on the perpendicular bisector of the line segment joining the centres of mass of the two moving discs as shown in the figure. The two moving discs collide elastically with the third one, which is at rest. There is no friction between the rims of the discs. What should the ratio of M/m be in order that after the collision the two discs of mass m move perpendicularly to their initial velocity?

## An object starts at the origin in a straight line. Its velocity versus time graph is shown in the figure. Which one of the following choices best gives the proper intervals(s) of time for which the object is moving away from the origin?

An object starts at the origin in a straight line. Its velocity versus time graph is shown in the figure. Which one of the following choices best gives the proper intervals(s) of time for which the object is moving away from the origin?

## Find velocity of piston A in the given situation if angular velocity of wheel of radius R is (constant), in the clockwise sense. (O is fixed point)

Find velocity of piston A in the given situation if angular velocity of wheel of radius R is (constant), in the clockwise sense. (O is fixed point)

## Ram pushes eight identical blocks on the horizontal frictionless surface with horizontal force F. The force that block-1 exerts at block-2 has magnitude and the force that block-7 exerts on the block-8 is

Ram pushes eight identical blocks on the horizontal frictionless surface with horizontal force F. The force that block-1 exerts at block-2 has magnitude and the force that block-7 exerts on the block-8 is

## A wedge of mass M= 10kg, height h= 3m and angle of inclination is at rest at horizontal surface. There is a small point – like object (mass m = 0.5kg) next to the slope as shown in the figure. At what acceleration must wedge be moved in order that the point like object reaches its top in a time t = 5s (Neglect the friction between point like object and wedge)

A wedge of mass M= 10kg, height h= 3m and angle of inclination is at rest at horizontal surface. There is a small point – like object (mass m = 0.5kg) next to the slope as shown in the figure. At what acceleration must wedge be moved in order that the point like object reaches its top in a time t = 5s (Neglect the friction between point like object and wedge)

## The position versus time graph of a particle moving along a straight line is shown. What is the total distance travelled by the particle from t = 0 s to t = 10s?

The position versus time graph of a particle moving along a straight line is shown. What is the total distance travelled by the particle from t = 0 s to t = 10s?

## An object of mass M starts from rest at the bottom of a fixed incline of height H. A person decides to push the object up the incline in one of two ways with an applied force shown in the diagram. In each of the trials, the object reaches the top of the incline with speed V. How would the work done by the person on the block compare for the two trials? Assume the same constant non-zero coefficient of kinetic friction between the incline and the object for both trials.

An object of mass M starts from rest at the bottom of a fixed incline of height H. A person decides to push the object up the incline in one of two ways with an applied force shown in the diagram. In each of the trials, the object reaches the top of the incline with speed V. How would the work done by the person on the block compare for the two trials? Assume the same constant non-zero coefficient of kinetic friction between the incline and the object for both trials.

## A uniform, solid cylinder having mass M and radius R is pulled by a horizontal force F acting through the center as shown. The cylinder rolls to the right without slipping. What is the magnitude of the force of friction between the cylinder and the ground?

A uniform, solid cylinder having mass M and radius R is pulled by a horizontal force F acting through the center as shown. The cylinder rolls to the right without slipping. What is the magnitude of the force of friction between the cylinder and the ground?

## A particle is moving along straight line such that dot product of its acceleration and velocity is negative. How many times particle can be found at a distance d from the origin?

A particle is moving along straight line such that dot product of its acceleration and velocity is negative. How many times particle can be found at a distance d from the origin?

## A triangular frame consists of three identical rods, each of mass m and length l. It rests upright on a horizontal smooth surface with its lower right corner against a stop about which the frame could pivot. A horizontal force of magnitude F is applied to the upper corner of theframe as shown in the figure. What is the largest value of F may have without causing the frame to pivot upward about the stop?

A triangular frame consists of three identical rods, each of mass m and length *l*. It rests upright on a horizontal smooth surface with its lower right corner against a stop about which the frame could pivot. A horizontal force of magnitude F is applied to the upper corner of the

frame as shown in the figure. What is the largest value of F may have without causing the frame to pivot upward about the stop?

## A massless spring of stiffness 400 N/m is fastened at left end to a vertical wall as shown in the figure I. Initially block C of mass 2 kg and block D of mass 5 kg rest on horizontal surface with block C in contact with spring (But not compressing it.) and the block D in contact with block C. Block C is moved leftward, compressing spring by a distance of 0.5 m and held in place while block D remains at rest as shown in the figure. Now Block C is released block D. The surface is rough and the coefficient of friction between each block and surface is 0.1. The block collide instantaneously stick together and move right. Find the velocity of combined system just after collision.

A massless spring of stiffness 400 N/m is fastened at left end to a vertical wall as shown in the figure I. Initially block C of mass 2 kg and block D of mass 5 kg rest on horizontal surface with block C in contact with spring (But not compressing it.) and the block D in contact with block C. Block C is moved leftward, compressing spring by a distance of 0.5 m and held in place while block D remains at rest as shown in the figure.

Now Block C is released block D. The surface is rough and the coefficient of friction between each block and surface is 0.1. The block collide instantaneously stick together and move right. Find the velocity of combined system just after collision.

## All the blocks are attached to an ideal rope which passes over an ideal pulley. If accelerations of blocks m1, m2, m3, and m4 are a1, a2, a3 and a4 respectively then choose the correct option.

All the blocks are attached to an ideal rope which passes over an ideal pulley. If accelerations of blocks m1, m2, m3, and m4 are a1, a2, a3 and a4 respectively then choose the correct option.

## A string of mass m (can be non uniform as well) is suspended through two points which are not in same horizontal level. Tension in the string at the end points are T1 and T2 and at the lowest point is T3. Mass of string in terms of T1, T2 and T3 can be represented a {uniform gravity ‘g’ exists downwards)

A string of mass m (can be non uniform as well) is suspended through two points which are not in same horizontal level. Tension in the string at the end points are T1 and T2 and at the lowest point is T3. Mass of string in terms of T1, T2 and T3 can be represented a {uniform gravity ‘g’ exists downwards)

## An object is being pushed at constant speed on an inclined plane. The free body diagram of the object is shown with the gravitational force represented by W, the friction force by f, the applied external push parallel to the incline by F, and the normal force with surface by N. Which one of the following choices represents correct relationships between the forces?

An object is being pushed at constant speed on an inclined plane. The free body diagram of the object is shown with the gravitational force represented by W, the friction force by f, the applied external push parallel to the incline by F, and the normal force with surface by N. Which one of the following choices represents correct relationships between the forces?

## A uniform rod of mass M and length L is free to rotate about a frictionless pivot located L/3 from one end. The rod is released from rest incrementally away from being perfectly vertical, resulting in the rod rotating clockwise about the pivot. When the rod is horizontal, what is the magnitude of the tangential acceleration of its center of mass?

A uniform rod of mass M and length L is free to rotate about a frictionless pivot located L/3 from one end. The rod is released from rest incrementally away from being perfectly vertical, resulting in the rod rotating clockwise about the pivot. When the rod is horizontal, what is the magnitude of the tangential acceleration of its center of mass?

## A uniform solid hemisphere of radius 10 m and mass 64 kg is placed with its curved surface on the smooth horizontal surface and a string AB of length 4m is attached to point A on its rim as shown in the figure. Find the tension in the string if hemisphere is in equilibrium.

A uniform solid hemisphere of radius 10 m and mass 64 kg is placed with its curved surface on the smooth horizontal surface and a string AB of length 4m is attached to point A on its rim as shown in the figure. Find the tension in the string if hemisphere is in equilibrium.

## A man of mass 60 kg hangs himself from a massless spring balance, which itself suspended from an ideal string-pulley system as shown in thefigure. The string AB can bear maximum 900 N. Choose correct statement.

A man of mass 60 kg hangs himself from a massless spring balance, which itself suspended from an ideal string-pulley system as shown in the

figure. The string AB can bear maximum 900 N. Choose correct statement.

## One end of a heavy uniform rod AB can slide along rough horizontal guiding surface CD with the help of massless ring as shown in the figure. The dimension of ring is negligible. BE is the ideal string. If is right angle and is the angle between rod AB and horizontal when the rod is on the verge of sliding. Find the coefficient of friction between ring and horizontal guiding surface CD.

One end of a heavy uniform rod AB can slide along rough horizontal guiding surface CD with the help of massless ring as shown in the figure. The dimension of ring is negligible. BE is the ideal string. If is right angle and is the angle between rod AB and horizontal when the rod is on the verge of sliding. Find the coefficient of friction between ring and horizontal guiding surface CD.