Question

The energy of a photon is given by E= hv,where'v' is the frequency of radiation, Use this equation to get the dimensional formula of 'h'.

Answer 1

Given that,

Energy $E=h\nu$

Frequency $=\nu$

We know that,

$E=h\nu$

$h=\frac{E}{\nu }$

The dimension formula of energy

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

The dimension formula of frequency

$\nu =\left[T^{-1}\right]$

Now, the dimension formula of h

$h=\frac{\left[M^1{L}^2{T}^{-2}\right]}{\left[T^{-1}\right]}$

$h=\left[M^1{L}^2{T}^{-1}\right]$

Hence, the dimension formula of $h$ is $\left[M^1{L}^2{T}^{-1}\right]$