The speed of sound in a gas is given by v = √γRT/M
R = universal gas constant,
T = temperature
M = molar mass of gas
The dimensional formula of γ is
(a) [M⁰L⁰T⁰ ] (b) [M⁰LT⁻¹]
(c) [MLT⁻²] (d) [M⁰L⁰T⁻¹]
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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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