Question

The relation between the energy $E$ and the frequency $v$ of a photon is expressed by the equation $E=h\nu$, where $h$ is Planck's constant. Write down the dimensions of $h$?

• A. $\left[M{L}^{-2}{T}^{-1}\right]$
• B. $\left[M{L}^1{T}^{-1}\right]$
• C. $\left[M{L}^1{T}^{-2}\right]$
• D. $\left[M{L}^2{T}^{-1}\right]$

Answer 1

The correct option is D $\left[M{L}^2{T}^{-1}\right]$

Dimensions of frequency $\upsilon -T^{-1}$

Dimensions of Energy $E-M{L}^2{T}^{-2}$

Dimensions of h=$\frac{E}{\nu }=\frac{M{L}^2{T}^{-2}}{T^{-1}}=M{L}^2{T}^{-1}$

Hence, Option D is correct