JEE Mains Model Paper 12

A resistance coil of resistance 7.5 W, connected to an external battery, is placed inside the thermally insulating smooth piston and containing an ideal monoatomic gas.

A current of 2 A is passed through the coil such that it is generating heat at a constant rate inside the cylinder. Volume of the chamber of the cylinder is 5 m3 and area of the piston is 0.1 m2 . The mass rate of dropping sand on the piston such that the piston always remains stationary will be … (Assuming that the sand is dropped very swiftly and g = 10 ms−2)