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In the arrangement shown in the fig the ...

In the arrangement shown in the fig the cylinder is insulating one. Both sides same diatomic gas is trapped by two insulting massless pistos with the help of an ideal spring. The natural length of the spring is equal to the length of the cylinder. initial state of the gases are as shown in the figure.

What is the value of energy stored in the spring ?

A

`P_(0)V_(0)`

B

`2P_(0)V_(0)`

C

`4P_(0)V_(0)`

D

`(P_(0)V_(0))/2`

Text Solution

Verified by Experts

The correct Answer is:
A
If `x` be the initial length of the gas chambers & A be the area of cross section of the cylinder then,
`x=(V_(0))/A` Also `P_(0)A=2kx`
`(P_(0))/x=2kximpliesP_(0)V_(0)=2kx^(2)`
`:.1/2k(2x)^(2)=1/2k4x^(2)=2kx^(2)=P_(0)V_(0)`
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