If frequency (v) of light is 5 × 10^ 16 ~Hz and speed of light in air is 3 × 10^8 ~m / s . Find the ratio of wavelength of light in a medium of refractive index ' 2 ' to air

Correct answer: D. 2 v=v λ , Here, v is same as source of light. aligned & v λ, (v_1)/(v_2)=(λ_1)/(λ_2) & But v_1= c n_1 , v_2 (in air) = c n_2 =c & (λ_1)/(λ_2)= c / n_1 c = 1 n_1 =(1)/(2) n_1=2 aligned

JIPMER 2019

Exam: JIPMER
Year: 2019
Subject: Physics
Chapter: Waves and Sound

JIPMER 2019 · Physics · Waves and Sound

If frequency (v) of light is 5 × 10^ 16 ~Hz and speed of light in...

If frequency

(v)

of light is

5 \times 10^{16} \mathrm{~Hz}

and speed of light in air is

3 \times 10^8 \mathrm{~m} / \mathrm{s}

. Find the ratio of wavelength of light in a medium of refractive index ' 2 ' to air

Options

A $\frac{1}{2}$
B3
C $\frac{3}{2}$
D2

Correct answer

D. 2

Step-by-step solution

\mathrm{v}=v \lambda

, Here,

v

is same as source of light.

\begin{aligned} & \Rightarrow \quad \mathrm{v} \propto \lambda, \frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2} \\ & \text{ But } \mathrm{v}_1=\frac{\mathrm{c}}{\mathrm{n}_1}, \mathrm{v}_2 \text{ (in air) }=\frac{\mathrm{c}}{\mathrm{n}_2}=\mathrm{c} \\ & \Rightarrow \quad \frac{\lambda_1}{\lambda_2}=\frac{\mathrm{c} / \mathrm{n}_1}{\mathrm{c}}=\frac{1}{\mathrm{n}_1}=\frac{1}{2} \Rightarrow \mathrm{n}_1=2 \end{aligned}

Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound