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Q.

A resistance coil connected with wire to an external battery is placed inside an adiabatic cylinder fitted with a frictionless piston of area of cross-section 5×10−4m2of mass 5 kg and containing an ideal gas. A current 0.2 A flows through the coil which has a resistance 500Ω . The constant speed v with which the piston move upwards in order that the temperature of the gas remains unchanged is (P0 = 105 N/m2, g = 10 m/s2)

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a

0.1 m/s

b

0.2 m/s

c

0.3 m/s

d

0.4 m/s

answer is B.

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Detailed Solution

W=P0A+mgVRate of heat produced = I2RV=I2RP0A+mg
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