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 = [ML^{2} T^{-2} ][T] = [ML^{2} T^{-1} ]

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

--

LHS = [L]

RHS = [ML^{2} T^{-1} ] / [MLT^{-1} ] = [L]

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

**The given relation is correct.**

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