Q138 / 150 · MHT CET 2020 (13 Oct Shift 1) · Physics
The dimensions of Planck's constant are same as the product of
- Atime and displacement.
- Bforce and time.
- Correct answerCforce, displacement and time.
- Dforce 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
Hence, the correct answer is option: 'C'.