A particle performs S.H.M. of amplitude A along a straight line. At two positions of the particle, the ratio of speeds is 1/2 and that of potential energy is 1/2 also. Then one position of them (distance from mean position) nearest to the extreme is :

If the frequency of a wave is increased by 25 %, then the change in its wavelength will be: (medium not changed)

A chain of uniform mass density is hanging as shown in figure.The total mass is M and the length is l.When chain is completely fall from the table then what will be the speed of chain?

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

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

A particle of mass 10 gm is placed in a potential field given by

The frequency of oscillation in cycle/sec is ?

A particle is projected from ground with an initial velocity 20 m/sec making an angle 60° with horizontal. If R1 and R2 are radius of curvatures of the particle at point of projection and highest point respectively,find the value of R1/R2?

The average kinetic energy associated with one mole of gas is?

Why the HgO decomposes into its constituent elements on heating ?

Name of one chloride which is soluble in hot water as well as in excess of HCl.

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

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 observation, till water is coming out, the time period of oscillation would?

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

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

A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is?

A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere.

The time period of a satellite of earth is 5 hour. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become

The escape velocity of a body depends upon mass as?

A round uniform body of radius R, mass M and moment of inertia I rolls down (without slipping) an inclined plane making an angle q with the horizontal. Then its acceleration is

Angular momentum of the particle rotating with a central force is constant due to

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)?

The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the center is?

A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The total mass of the chain is 4 kg. What is the work done in pulling the entire chain on the table?

Two protons of equal kinetic energies enter a region of uniform magnetic field. The

first proton enters normal to the field direction while the second enters at 30 degree to the field direction. Name the trajectories followed by them.

Describe briefly three factors which justify the need for modulation of audio frequency signals over long distances in communication?

The escape velocity for a body projected vertically upwards from the surface of earth is 11 km/s. If the body is projected at an angle of 45° with the vertical, the escape velocity will be

If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then the satellite will?

A car moving with a speed of 50 km/hr, can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is?

if a dielectric slab of a thickness t and area A is inserted in between the plates of a parallel plate capacitor of plate area A and distance between the plates d (d>t) then find out capacitance of system?What do you predict about the dependence of capacitance on location of slab?

Two parallel conducting plates of a capacitor of capacitance C containing charges Q and -2Q at a distance d apart. Find out difference between the plates of a capacitors?

State Biot-Savart’s Law. Use it to obtain the magnetic field at an axial point, distance x from the centre of a circular coil of radius a, carrying a current I.

With the help of a circuit diagram, explain working of a transistor as an amplifier?

State Huygens Principle. Using the geometrical construction of secondary wavelets, explain the refraction of a plane wavefront incident at a plane surface. Hence verify the Snell’s law. Illustrate with the help of a diagram the action of (i) Convex lens and (ii) concave mirror on a plane wavefront incident on it.

With the help of an example, explain how the neutron to proton ratio changes during -decay. Also briefly explain what are nuclear forces. Give their important properties.

What is electron emission? Discuss various forms of electron emission in brief. Establish Einstein’s photoelectric equation?

Define capacitance. Derive an expression for the capacitance of a parallel plate capacitor. How will the capacitance of the capacitor be affected if a conducting slab of some thickness is partially filled in the space between two plates.

Draw a neat and labelled diagram of image formed by a compound microscope. Write an expression for its magnifying power.

What do you mean by power of a lens? What is its unit? What is the expression for power of two thin lenses in contact with each other?

If the maximum kinetic energy of a photoelectron is 3 eV, what is its stopping potential?

State the essential condition for diffraction of light to occur?

At night approximately 500 photons per second must enter an unaided human eye for an object to be seen. A light bulb emits about photons per second uniformly in all directions. The radius of the pupil of the eye is about

meters. What is the maximum distance from which the bulb could be seen?

In a car race sound signals emitted by the two cars are detected by the detectors on the straight track at the end point of the race. Frequency observed are 330 Hz and 360 Hz and the original frequency is 300 Hz of both cars. Race ends with the separation of 100m between the cars. Assume both cars move with constant velocity and velocity of sound is 330 m/s. Find the time (in second) taken by wining car?