An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and the cylinder have equal cross sectional area A. When the piston is in equilibrium, the volume of the gas is V₀ and its pressure is P₀. The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency

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

In vacuum an electron of energy 10 keV hits tungsten target, then emitted radiation will be

The wavelength of X-rays decreases, when

A particle moves in the x-y plane according to the equation,. The motion of the particle is-

Some springs are combined in series and parallel arrangement as shown in the figure and a mass m is suspended from them. The ratio of their frequencies will be

A 100 g block is connected to a horizontal massless spring of force constant 25.6 N/m. The block is free to oscillate on a horizontal frictionless surface. The block is displaced 3 cm from the equilibrium position, and at t =0, it is released from rest at x=0. The position-time graph of motion of the block is shown in figure When the block is at position B on the graph, its

In an X-ray tube electrons bombarding the target produce X-rays of minimum wavelength 1 . What must be the energy of bombarding electrons

If =10, then it corresponds to

Pendulum A is a physical pendulum made from a thin rigid and uniform rod whose length is . One end of this rod is attached to the ceiling by a frictionless hinge so that rod is free to swing back and forth. Pendulum B is a simple pendulum whose length is also . The ratio for small angular oscillations-

When cathode rays strike a metal target of high melting point with very high velocity, then

A hollow metallic sphere of radius 10 cm is given a charge of . The electric intensity at a point 4 cm from the centre is

The correct order of basicities of the following compounds . ,is:
1)
2)
3)
4) 

The reaction, is:

Among the following; the strongest base is:

The derivative of even function is

For such questions, we should know the definition of even and odd function.