The frequency of a light wave in a material is 2 × 10^ 14 ~Hz and wavelength is 5000 Å . The refractive index of material will be

Correct answer: B. 3.00 Using, μ= C v Here, c=3 × 10^8 ~m ~s^ -1 v=v λ=2 × 10^ 14 ~Hz × 5000 × 10^ -10 ~m =1 × 10^8 ~m ~s^ -1 μ= 3 × 10^8 ~m ~s^ -1 1 × 10^8 ~m ~s^ -1 =3

AIIMS 2013

Exam: AIIMS
Year: 2013
Subject: Physics
Chapter: Ray Optics

AIIMS 2013 · Physics · Ray Optics

The frequency of a light wave in a material is 2 × 10^ 14 ~Hz and...

The frequency of a light wave in a material is

2 \times 10^{14} \mathrm{~Hz}

and wavelength is

5000 Å

. The refractive index of material will be

Options

A $1.50$
B $3.00$
C $1.33$
D $1.40$

Correct answer

B. $3.00$

Step-by-step solution

Using,

\mu=\frac{\mathcal{C}}{v}

Here,

c=3 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}

v=v \lambda=2 \times 10^{14} \mathrm{~Hz} \times 5000 \times 10^{-10} \mathrm{~m}

=1 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}

\therefore \quad \mu=\frac{3 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}}{1 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}}=3

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