For a gas, the speed of sound is expressed as , where is pressure, is density and is…

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

For a gas, the speed of sound is expressed as

v = \sqrt{\gamma P/\rho}

, where

P

is pressure,

\rho

is density and

\gamma

is a constant. The dimensional formula for

\gamma

is (a)

M^{0}L^{2}T^{-2}

(b) Dimensionless (c)

M^{0}L^{-1}T^{1}

(d)

M\,L^{-1}T^{-2}