Unit and measurement physics class 11
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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.
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.
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