A black body has maximum wavelength $$\lambda $$_m at 2000 K. Its corresponding wavelength at 3000 K will be

The (W/Q) of a Carnot engine is 1/6, now the temperature of sink is reduced by 62^oC, then this ratio becomes twice, therefore the initial temperature of the sink and source are respectively

To find out degree of freedom, the expansion is

The bob of simple pendulum having length $$l$$, is displaced from mean position to an angular position q with respect to vertical. If it is released, then velocity of bob at equilibrium position