JEE Advanced 2020 Full Test 7 Paper 2

0.5 mole of an ideal gas at constant temperature 27∘C kept inside a cylinder of length L and cross section area A closed by a mass less piston. The cylinder is attached with conducting rod length L cross section area (‌

1

9

)m2 and thermal conductivity K, whose other end is maintained at 0∘C. If piston is moved such that rate of heat flow through the conducting rod is constant then velocity of piston when it is at height ‌

L

2

from the bottom of cylinder [neglect any kind of heat loss from system)