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Question

A horizontal cylinder has two section of unequal cross section in which two pistons can move freely. A string joins the pistons. Some ideal gas is trapped between the pistons. If the enclosed gas is heated, the piston will
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A
move to left
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B
move to right
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C
remain stationary
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D
may move to the left or right depending on initial pressure of gas
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Solution

The correct option is B move to right
Considering the same pressure along the two inside surfaces of the piston.

We have two different areas over there the left one being smaller and the right one larger.

f on the inner left surface =P×a

F on the inner right surface =P×A

Since A>a as right piston has greater area then the left one F>f

Hence, the net force is on the right side so the piston will move right with some acceleration.

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