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JEE Advanced Model Paper 15 with solutions for online practice

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Question : 16

Total: 60

A diathemic piston of mass M, cross section area A separate the volume inside a horizontal adiabatic cylinder of length 2I0 in two equal parts. Each chamber contains an ideal gas and pressure on each side is P. The piston can move without friction and is attached with a spring of spring constant K as shown. Initially the spring is non-deformed. The piston is given a small displacement x towards left. Then

The pressure in left chamber increases
The pressure in right chamber decreases
The piston oscillates with time period 2π √
MI0
2PA+I0K
The piston oscillates with time period 2π √
MI0
PA+I0K

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