A resistance coil connected to an external battery is placed inside an adiabatic cylinder fitted wit

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12.Kinetic Theory of Gases

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A resistance coil connected to an external battery is placed inside an adiabatic cylinder fitted with a frictionless pistn 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 uchanged? Neglect atmospheric pressure.

A

$\frac{{{i^2}m}}{{Rg}}$

B

$\frac{{Rmg}}{{{i^2}}}$

C

$\frac{{mg}}{{{i^2}}}$

D

$\frac{{{i^2}R}}{{mg}}$

Solution

Applying $C O E$

$i^{2} R t=m g x$

$\Rightarrow \frac{d x}{d t}=\frac{i^{2} R}{m g}$

Standard 11

Physics

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