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Question

A resistance coil connected to an external battery is placed inside an adiabatic cylinder fitted with a frictionless piston and containing an ideal gas. A current i flows through the coil which has a resistance R. At what speed must the piston move upward in order that the temperature of the gas remains unchanged? Neglect atmospheric pressure.

  1. fraction numerator i to the power of 2 end exponent m over denominator R g end fraction    
  2. fraction numerator R m g over denominator i to the power of 2 end exponent end fraction    
  3. fraction numerator m g over denominator i to the power of 2 end exponent end fraction    
  4. fraction numerator i to the power of 2 end exponent R over denominator m g end fraction    

The correct answer is: fraction numerator i to the power of 2 end exponent R over denominator m g end fraction

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