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Question

The speed of sound in a gas is given by v=γRTM
R= universal gas constant,
T= temperature
M= molar mass of gas
The dimensional formula of γ is

A
[M0L0T0]
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B
[M0LT1]
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C
[MLT2]
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D
[M0L0T1]
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Solution

The correct option is C [M0L0T0]
γ is the ratio of specific heat at constant pressure to the specific heat at constant volume.Hence it is the ratio of like quantities, therefore dimensionless.

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