Question

The frequency $V$ of the radiation emitted by an atom when an electron jumps from one orbit to another is given by $v=k \delta E$, where $k$ is a constant and $\delta E$ is the change in energy level due to the transition. Then dimension of $k$ is

• A. $M L^{2} T^{-2}$
• B. the same dimension of angular momentum
• C. $M L^{2} T^{-1}$
• D. $M^{-1} L^{-2} T$

Answer 1

Answer: (D)

$v=k \delta E$
$[k]=\left[\frac{v}{\delta E}\right]=\frac{\left[T^{-1}\right]}{\left[M L^{2} T^{-2}\right]}$
$[k]=\left[M^{-1} L^{-2} T\right]$