Check the correctness of the formula - V = (1/lambda)[(root under) (K)/D], wherein V = velocity of the medium, lambda - Physics - Units And Measurements

Question

Check the correctness of the formula - V = (1/lambda)[(root under)
(K)/D], wherein V = velocity of the medium, lambda = wavelength of
the wave and D = density of the medium, K = modulus of the
elasticity of through which the wave propagates

Neha Gupta · Accepted Answer

V = 1λKDK =[ML-1T-2]D = [ML-3]λ = [L]V = [LT-1]Dimension of the RHS:1 [L][ML-1T-2] [M-1L3]= [T-1]dimension of LHS and RHS are not equal hence this formula is not correct

Check the correctness of the formula - V = (1/lambda)[(root under) (K)/D], wherein V = velocity of the medium, lambda = wavelength of the wave and D = density of the medium, K = modulus of the elasticity of through which the wave propagates.