1.

A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless postion. The pistons are connected to each other by a metallic wirte. Initially the pressure of the gas is p_(o) and temperature is T_(o), atmospheric pressure is also p_(o) Now the temperature of the gas is increased to 2T_(0), the tension in the wire will be

Answer»

`2p_(o)A`
`p_(o)A`
`(p_(o)A)/2`
`p_(o)A`

Solution :VOLUME of the gas is constant
V= constant

`therefore propTi.e.,` PRESSURE will be doubled, temperature is doubled
`therefore""p=2p_(o)`
Now let F be the tension in the wire. Then equilibrium of any one piston gives.
`F=(p-p_(o))A=(2p_(o)-p_(o))A=p_(o)A`


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