91Ó°ÊÓ

The wavelength of red light, $\mathrm{λ}=695\text{nm}$.

The expression to calculate the frequency is given as follows.

$\mathit{f}\mathbf{=}\frac{\mathbf{v}}{\mathbf{λ}}$ …(¾±)

Here, $v$is the speed of the light.

The expression to calculate the period of the radiation is given as follows.

role="math" localid="1668595348890" $\mathit{T}\mathbf{=}\frac{\mathbf{1}}{\mathbf{f}}$ … (ii)

$f$Calculate the frequency of the red light.

Substitute$3×{10}^{8}m/s$ for$\mathrm{ν}$ and$695\text{nm}$ for$\mathrm{λ}$ into equation (i).

$$\begin{gathered} f=\frac{3×{10}^8 m/s}{695×{10}^{-9}} \\ =\frac{3000×{10}^{5}m/s }{695×{10}^{-9} \text{m}} \\ =\frac{3000×{10}^{14}m/s }{695 \text{m}} \\ =4.32×{10}^{14}\text{Hz} \end{gathered}$$

Calculate the period of radiation.

Substitute$4.32×{10}^{14}\text{Hz}$ for into equation (ii).

$$\begin{gathered} T=\frac{1}{4.32×{10}^{14} \text{Hz}} \\ =0.231×{10}^{-14}\text{s} \\ =23.1×{10}^{-16}\text{s} \end{gathered}$$

Hence the frequency of the red light and period of radiation are$4.32×{10}^{14}\text{Hz}$ and $23.1×{10}^{-16}\text{s}$respectively.