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# The standard deviation of a variable x is . The standard deviation of the variable where a, b, c are constants is ...

## The correct answer is:

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### 2k-mol of an ideal diatomic gas is enclosed in a vertical cylinder fitted with a piston and spring as shown in the figure. Initially the spring is compressed by 5 cm and then the electric heater starts supplying energy to the gas at constant rate of 100 J/S and due to conduction through walls of cylinder and radiation, 20 J/S has been lost to surroundings ( Take K=1000 N/m, atomospheric pressure, , cross section area of piston , mass of piston m=1 kg R=8.3kj mol k) Answer the given question based on this information.

The initial pressure of the gas is

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The initial pressure of the gas is

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If for curved path 'fi', what is the ' for this path ?

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If for curved path 'fi', what is the ' for this path ?

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### A resistance coil connected to an external battery is placed inside an adiabatic cylinder fitted with a frictionless piston and containing an ideal gas. A current i flows through the coil which has a resistance R. At what speed must the piston move upward in order that the temperature of the gas remains unchanged? Neglect atmospheric pressure.

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