Past Questions

A weight of mass m is at rest at O when suspended from a spring. When it is pulled down and released, it oscillates between positions A and B. Which statement about the system consisting of the spring and the mass is correct?

‘η’ in Poiseuille’s equation is representing

When a wire is stretched to double in length, the longitudinal strain produced in it is

What is the moment of inertia of a rod about an axis passing through the centre and perpendicular to its central axis? Given that mass of rod is 1kg, length= 10cm

A body weight 250N on the surface. Assuming the earth to be a sphere of uniform mass density, how much would it weigh halfway down to the centre of earth?

m d²y/dt² + R dy/dt + ky = f sin ωt represents differential equation for

An astronaut takes a simple pendulum with her on a voyage to the Moon. The acceleration due to gravity on the surface of the Moon is 1/6 of that on the Earth. What is the ratio of the frequency of the pendulum as measured on the Moon compared to the frequency on Earth?

A 0.1-kilogram block is attached to an initially unstretched spring of force constant k = 40 Newtons per meter. The block is released from rest at time t = 0. What is the amplitude of the resulting simple harmonic motion of the block?

The resultant vibration of particle due to two SHMs having same frequency, same amplitude and acting at right angles to each other, having phase difference φ = π/2, traces a curve which is

In a simple bending theory, one of the assumptions is that the material of the beam is isotropic. This assumption means that the

The relationship between Young’s modulus (Y), Modulus of rigidity (R) and Bulk modulus (K) is given by

On a clean glass plate, a drop of water spreads to form a thin layer whereas a drop of mercury remains almost spherical because

When an object is oscillating in simple harmonic motion in the vertical direction, its maximum speed occurs when the object

Moment of inertia of a spinning body about an axis doesn’t depend on which of the following factors?

The length of a rod seems shorter to an observer when it moves in a specific direction. What change would he observe when the direction of the rod changes by 180°?

If the two input waveforms of equal amplitude and 90 degree phase difference is applied to the CRO, then the Lissajous patterns obtained will be

Water rises upto a height of 5cm in capillary tube of radius 2mm. What is the radius of the capillary tube if the water rises upto a height of 10cm in another capillary?

A particular simple pendulum has a total energy E₁, when it swings to a maximum angle of θ, with respect to the vertical. What would be its total energy if it could reach a maximum of 2θ?

Two mutually perpendicular simple harmonic vibrations have the same amplitude, frequency and phase. When they superimposed, the resulting motion will be

Stoke’s Law is not applicable in

A rigid body suspend vertically and oscillates with small amplitude under the action of force of gravity is known as

Lorentz transformation equations hold for

What happens to viscosity in the case of incompressible fluids as temperature is increased

The differential equation of wave motion is given by

The flow through a circular pipe is laminar. Now, the fluid through the pipe is replaced with a more viscous fluid and passed through the pipe again with the same velocity. What can we say about the nature of this flow?