A diatomic gas \((\gamma=1.4)\) does \(400 J\) of work when it is expanded isobarically. The heat given to the gas in the process is ............ \(J\)

Two blocks of masses \(10 \; kg\) and \(30 \; kg\) are placed on the same straight line with coordinates \((0,0) \; cm\) and \(( x , 0) \; cm\) respectively. The block of \(10 \; kg\) is moved on the same line through a distance of \(6 \; cm\) towards the other block. The distance through which the block of \(30 \; kg\) must be moved to keep the position of centre of mass of the system unchanged is

The acceleration due to gravity at height \(h\) above the earth if \(h \ll R\) (radius of earth) is given by

Initial pressure and volume of a monoatomic ideal gas are \(P\) and \(V\). The change in internal energy of this gas in adiabatic expansion to volume \(V_{final}=27V\) is ________ J.

A big drop is formed by coalescing \(1000\) small droplets of water. The surface energy will become _______.

Match the LIST-I with LIST-II:

List-I	List-II
A. Spring constant	I. \(ML ^2 T^{-2} K^{-1}\)
B. Thermal conductivity	II. \(ML ^0 T^{-2}\)
C. Boltzmann constant	III. \(ML ^2 T^{-3} A^{-2}\)
D. Inductive reactance	IV. \(MLT ^{-3} K^{-1}\)

Choose the correct answer from the options given below:

For which of the following particles will it be most difficult to experimentally verify the deBroglie relationship?

A particle of mass \(m\) and charge \(q\) is in an electric and magnetic field given by \(\vec E = 2\hat i + 3\hat j ;\, B = 4\hat j + 6\hat k\) The charged particle is shifted from the origin to the point \(P(x = 1 ;\, y = 1)\) along a straight path. The magnitude of the total work done is

The work function of a metal is 3 eV. The color of the visible light that is required to cause emission of photoelectrons is _______.

Which of the following is not a dimensionless quantity?