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In the arrangement shown in Fig. gas is ...

In the arrangement shown in Fig. gas is thermally insulated. An ideal gas is filled in the cylinder having pressure `P_(0)` (gt atmospheric pressure `P_(a)`). The spring of force constant `K` is initially unstretched. The piston of mass `m` and area `S` is frictionless. In equilibrium, the piston rises up by distance `x_(0)`, then

A

Final pressure of the gas is `(P_(0)+(kx_(0))/(S)+(mg)/(S))`

B

Work done by the gas is greater than `((1)/(2)kx_(0)^(2)+mgx_(0))`

C

Decrease in internal energy is `((1)/(2)kx_(0)^(2)+mgx_(0)+P_(0)sx_(0))`

D

none of these

Text Solution

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In equilibrium, piston will be having kinetic energy, too.
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