Ray Optics And Optical Instruments Ques 7

7. The frequency of a light wave in a material is $2 \times 10^{14} $ $Hz$ and wavelength is $5000 $ $\AA$. The refractive index of material will be

[2007]

(a) $1.50$

(b) $3.00$

(c) $1.33$

(d) $1.40$

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Answer:

Correct Answer: 7.(b)

Solution:

  1. (b) By using $v=n \lambda$

Here, $n=2 \times 10^{14}$ $ Hz$

$\lambda=5000 $ $\AA=5000 \times 10^{-10}$ $ m$

$v=2 \times 10^{14} \times 5000 \times 10^{-10}=10^{8} $ $m / s$

Refractive index of the material,

$\mu=c / v=\frac{3 \times 10^{8}}{10^{8}}=3$

In case of refraction of light frequency (and hence colour) and phase do not change while wavelength and velocity will change.