Check correctness of relation by dimensional analysis lambda =h/mv where letter have heir own usual meaning?

λ = h/mv [de-Broglie wavelength]

From E = hv [Plank's equation]

h = E/v

Write the dimension of each quantity in the above relation

λ = wavelength = [L] ,

h = Energy / frequency = Energy x time = [ML² T^-2 ][T] = [ML² T^-1 ]

mv = mass x velocity = momentum = [MLT^-1 ]

--

LHS = [L]

RHS = [ML² T^-1 ] / [MLT^-1 ] = [L]

We see that dimensions of both sides are equal to [L]

The given relation is correct.