UPSEE Solved Model Paper 7

Given
The de Broglie wavelength is
λ =

h

√2mE

... (i)
a. Dimension of energy is [E] = [ML2T−2]
b. Dimension of wavelength is [L]
c. Dimension of mass is [M]
Using eq. (i) the dimension of Planck's constant is
[h] = [λ] [mE]

1

2

⇒ [h] = [L] [M2L2T−2]

1

2

⇒ [h] = [ML2T−1]
Hence, option 'D' is correct