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

If V=sqrt((gammaP)/(rho)),V =velocity, P= pressure rho= density, then

1.	If V=sqrt((gammaP)/(rho)),V =velocity, P= pressure rho= density, then dimension of gamma will be …….
Answer» <P>`M^(0)L^(0)T^(0)` `M^(0)L^(0)T^(-1)` `M^(1)L^(0)T^(0)` `M^(0)L^(1)T_(0)` Solution :`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)`