Question

Check the correctness of the equation with the help of dimensions.
(v=velocity, P=momentum, rho=density)​

Answer 1

LHS :-

[v] = [LT-¹]

RHS:-

[Momentum] = [MLT-¹]

[Density] = [ML-³]

Momentum/Density = [MLT-¹]/[ML-³] = [L²T-¹]

√[L²T-¹] = [LT-½]

Since here LHS≠RHS

So, this equation is dimensionally incorrect.

Cheers!