Find the angle $A$ of the second prism so that the light ray suffers dispersion without deviation:
Power of convex lens is $5$ D. Four students measure object and image distances as shown.
Two rods of equal length \(60\,\text{cm}\) each are joined together end to end. The coefficients of linear expansion of the rods are \(24\times10^{-6}\^{\circ}\text{C}^{-1}\) and \(1.2\times10^{-5}\^{\circ}\text{C}^{-1}\). Their initial temperature is \(30^{\circ}\text{C}\), which is increased to \(100^{\circ}\text{C}\). Find the final length of the combination (in cm).
Two balls made of the same material collide perfectly inelastically as shown. The energy lost in the collision is completely utilized in raising the temperature of each ball. Find the rise in temperature of the balls. (Specific heat $=31$ cal/kg-$^\circ$C):
Find heat given to gas to take it from A to B. (Given: $C_v = 21$ S.I. units, $P_2 = 30$ Pa, $P_1 = 21.7$ Pa, $R = 8.3$ S.I. units, $n = 10$ moles)