Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 30° with each other. When suspended in a liquid of density 0.8 g cm-3, the angle remains the same. If the density of the material of the sphere is 1.6 g cm-3, what is the dielectric constant of the liquid?

Anonymous User Physics Electrostatic 12 May, 2020 74 views

A small particle of mass m is projected at an angle with the x-axis with an initial velocity v0 in the x-y plane as shown in the figure.

At a time the angular momentum of the particle is Note: are unit vectors along x, y and z-axis respectively.

Anonymous User Physics Circular and Rotational Motion 12 May, 2020 69 views

For a particle in uniform circular motion, the acceleration at a point P(R, ) on the circle of radius R is (Here is measured from the x-axis)

Anonymous User Physics Circular and Rotational Motion 12 May, 2020 62 views

Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B? Anonymous User Physics Laws of Motion and Friction 12 May, 2020 61 views

The equation of a wave on a string of linear mass density of 0.04 kg m-1 is given by What is the tension in the string?

Anonymous User Physics Waves and Sound Waves 12 May, 2020 67 views

A radioactive sample S1 having an activity of 5 m Ci has twice the number of nuclei as another sample S2 which has an activity of 10 m Ci. The half lives of S1 and S2 can be

Anonymous User Physics Nuclear physics 11 May, 2020 93 views

Two nucleons are at a separation of 1 × 10–15 m. The net force between them is F1 if both are protons, F2 if both are neutrons and F3 if one is a proton and other is a neutron. In such a case

Anonymous User Physics Nuclear physics 11 May, 2020 90 views

Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t1 is the time taken for the energy stored in the capacitor to reduce to half its initial value and t2 is the time taken for the charge to reduce to one-fourth its initial value. Then what will be the ratio t1/t2

Anonymous User Physics Electromagnetic Induction & Alternating Current 11 May, 2020 61 views

The masses of neutron and proton are 1.0087 amu and 1.0073 amu respectively. If a helium nucleus (alpha particles) of mass 4.0015 amu is formed by combining neutrons and protons. The binding energy of the helium nucleus will be (1 amu = 931 MeV)

Anonymous User Physics Nuclear physics 11 May, 2020 61 views

## A particle is moving with velocity  where K is a constant. The general equation for its path is A particle is moving with velocity where K is a constant. The general equation for its path is

Anonymous User Physics Laws of Motion and Friction 11 May, 2020 58 views

In the circuit shown below, the key K is closed at t = 0. What will be the current through the battery? Anonymous User Physics Electromagnetic Induction & Alternating Current 11 May, 2020 62 views

In a series LCR circuit R = 200 and the voltage and the frequency of the main supply is 220 V and 50 Hz respectively. On taking out the capacitance from the circuit the current lags behind the voltage by 30°. On taking out the inductor from the circuit the current leads the voltage by 30°. The power dissipated in the LCR circuit is

Anonymous User Physics Electromagnetic Induction & Alternating Current 11 May, 2020 74 views

Let there be a spherically symmetric charge distribution with charge density varying as upto r = R, and r(r) = 0 for r > R, where r is the distance from the origin. The electric field at a distance r (r < R) from the origin is given by

Anonymous User Physics Electrostatic 11 May, 2020 67 views

Degree of dissociation of three binary electrolytes AB, CD and EF are 60%, 20% and 100% in the solution having same mole fraction of water. Ratio of lowering in vapour pressure of their solution is

Anonymous User Chemistry Solutions 11 May, 2020 111 views

20 g of non-electrolyte, non-volatile solute (CxH2xOx), when dissolved in 100 gm water at 100°C, lowers the vapour pressure of solution by 1/100 th of the vapour pressure of pure water at this temperature. What is formula of the compound?

Anonymous User Chemistry Solutions 11 May, 2020 265 views

A complex is written as M(en)y.xBr. Its 0.05 molar solution shows 2.46 atm osmotic pressure at 27°C.Assuming 100% ionisation and coordination number of metal (III) is six, complex may be

Anonymous User Chemistry Solutions 11 May, 2020 139 views

A nucleus of mass M + ∆m is at rest and decays into two daughter nuclei of equal mass M / 2 each. Speed of light is c.

The binding energy per nucleon for the parent nucleus is E1 and that for the daughter nuclei is E2. Then

Anonymous User Physics Atomic Physics 10 May, 2020 60 views

An initially parallel cylindrical beam travels in a medium of refractive index where and are positive constants and I is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.

What will be the initial shape of the wavefront of the beam?

Anonymous User Physics Wave Optics 10 May, 2020 54 views

An initially parallel cylindrical beam travels in a medium of refractive index where and are positive constants and I is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.

What will be the speed of light in the medium?

Anonymous User Physics Wave Optics 10 May, 2020 69 views

An initially parallel cylindrical beam travels in a medium of refractive index where and are positive constants and I is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.

As the beam enters the medium, it will

Anonymous User Physics Wave Optics 10 May, 2020 66 views

A transparent solid cylindrical rod has a refractive index of . It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure The incident angle θ for which the light ray grazes along the wall of the rod is

Anonymous User Physics Ray Optics 09 May, 2020 65 views

A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature θ along the length x of the bar from its hot end is best described by which of the figures?

Anonymous User Physics Heat Transfer 09 May, 2020 55 views

A charge Q is placed at each of the opposite corners of a square. A charge q is placed at each of the other two corners. If the net electrical force on Q is zero, then what will be the Q/q ?

Anonymous User Physics Electrostatic 09 May, 2020 67 views

Consider a rubber ball freely falling from a height h = 4.9 m onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then what will be the velocity as a function of time and the height as function of time?

Anonymous User Physics Work Power and Energy 09 May, 2020 70 views

A motor cycle starts from rest and accelerates along a straight path at 2 m/s2. At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the driver hears the frequency of the siren at 94% of its value when the motor cycle was at rest? (Speed of sound = 330 ms-1).

Anonymous User Physics Work Power and Energy 09 May, 2020 68 views

## A particle has an initial velocity and an acceleration of . What will be its speed after 10 s? A particle has an initial velocity and an acceleration of . What will be its speed after 10 s?

Anonymous User Physics Kinematics 09 May, 2020 59 views

The surface of a metal is illuminated with the light of 400 nm. The kinetic energy of the ejected photoelectrons was found to be 1.68 eV. The work function of the metal is (hc = 1240 eV nm)

Anonymous User Physics Electrostatic 09 May, 2020 63 views

Two moles of helium gas are taken over the cycle ABCDA, as shown in the P - T diagram The net work done on the gas in the cycle ABCDA is

Anonymous User Physics Thermodynamics 09 May, 2020 66 views

Two moles of helium gas are taken over the cycle ABCDA, as shown in the P - T diagram The work done on the gas in taking it from D to A is

Anonymous User Physics Thermodynamics 09 May, 2020 75 views

Two moles of helium gas are taken over the cycle ABCDA, as shown in the P - T diagram Assuming the gas to be ideal the work done on the gas in taking it from A to B is

Anonymous User Physics Thermodynamics 09 May, 2020 57 views An inductor of inductance L = 400 mH and resistors of resistances R1 = 2 and R2 = 2 are connected to a battery of emf 12 V as shown in the figure. The internal resistance of the battery is negligible. The switch S is closed at t = 0. What will be the potential drop across L as a function of time?

Anonymous User Physics Electromagnetic Induction & Alternating Current 09 May, 2020 78 views

In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a-degree (= 0.5°), then the least count of the instrument will be

Anonymous User Physics 09 May, 2020 60 views

Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by ∆x on applying force F, how much force is needed to stretch wire 2 by the same amount?

Anonymous User Physics 09 May, 2020 63 views

The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth is

Anonymous User Physics Gravitation and Projectile 09 May, 2020 55 views