The dimensions of Planck's constant are same as the product of
The dimensions of Planck's constant are same as the product of
time and displacement.
force and time.
force, displacement and time.
force and displacement.
Solution
Correct option is $\mathrm{B}$ )
$\mathrm{E}=\mathrm{h} v$
$\Longrightarrow$ Planck's constant $\mathrm{h}=\frac{\mathrm{E}}{\mathrm{v}}$
Dimension of energy $=\left[\mathrm{ML}^{2} \mathrm{~T}^{-2}\right]$
Dimension of $v=\left[\mathrm{T}^{-1}\right]$
Thus dimension of $\mathrm{h}=\left[\mathrm{ML}^{2} \mathrm{~T}^{-1}\right]$
Dimension of Force $=\left[\mathrm{MLT}^{-2}\right]$
Dimension of Displacement=[L]
Dimension of Time- $[\mathrm{T}]$
Thus dimension of F orce $\times$ displacement $\times$ time $=\left[\mathrm{ML}^{2} \mathrm{~T}^{-1}\right]=$ Dimension of
Planck's constant