If `V=sqrt((gammaP)/(rho)),V` =velocity, P= pressure `rho`= density, then dimension of `gamma` will be …….

Options

A. `M^(0)L^(0)T^(0)`
B. `M^(0)L^(0)T^(-1)`
C. `M^(1)L^(0)T^(0)`
D. `M^(0)L^(1)T_(0)`

Explanation

`v=sqrt((gammaP)/(rho))`
`:.gamma=(v^(2)rho)/(P)`
`:.` Dimension of `gamma=((L^(1)T^(-1))^(2)xxM^(1)L^(-3)T^(0))/(M^(1)L^(-1)T^(-2))`
`=(M^(0)L^(2)T^(-2)xxM^(1)L^(-3)T^(0))/(M^(1)L^(-1)T^(-2))`
`=M^(0)L^(0)T^(0)`