A container AB in the shape of a rectangular parallelopiped of length 5 m is divided internally by a movable partition P as shown in the figure.


The left compartment is filled with a given mass of an ideal gas of molar mass 32 while the right compartment is filled with an equal mass of another ideal gas of molar mass 18 at same temperature. What will be the distance of P from the left wall A when equilibrium is established?

When 100 g of boiling water at 100$$^\circ $$ C is added into a calorimeter containing 300 g of cold water at 10$$^\circ $$ C, temperature of the mixture becomes 20$$^\circ $$ C. Then, a metallic block of mass 1 kg at 10$$^\circ $$ C is dipped into the mixture in the calorimeter. After reaching thermal equilibrium, the final temperature becomes 19$$^\circ $$ C. What is the specific heat of the metal in CGS unit?

A metallic block of mass 20 kg is dragged with a uniform velocity of 0.5 ms^-1 on a horizontal table for 2.1 s. The coefficient of static friction between the block and the table is 0.10. What will be the maximum possible rise in temperature of the metal block, if the specific heat of the block is 0.1 CGS unit? Assume g = 10 ms^-2 and uniform rise in temperature throughout the whole block. [Ignore absorption of heat by the table]

Two black bodies A and B have equal surface areas are maintained at temperatures 27$$^\circ$$C and 177$$^\circ$$C respectively. What will be the ratio of the thermal energy radiated per second by A to that by B?