Physics - Unit & Dimension Question with Solution | TestHub

Correct option is $\mathrm{B}$ ) $\mathrm{E}=\mathrm{h}v$ $⟹$ 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