Question

the wavelength of blue light in air is 4500A. what is it's frequency? if the refractive index of glass for blue light is1. 55, what will be the wavelength of blue light in glass?​

Answer 1

Answer:

Frequency of blue light, $f=6.67\times 10^{14}\ m$

The wavelength of blue light in glass, $\lambda_g=2.90\times 10^{-7}\ m/s$

Explanation:

It is given that,

Wavelength of blue light in air, $\lambda=4500\ A=4500\times 10^{-10}\ m$

If f is the frequency of the blue light. It is given by :

$f=\dfrac{c}{\lambda}$

$f=\dfrac{3\times 10^8}{4500\times 10^{-10}}$

$f=6.67\times 10^{14}\ m$

If the refractive index of glass for blue light is, n = 1.55

Let $\lambda_g$ is the wavelength of blue light in glass. The refractive index of any material in terms of wavelength is given by :

$n=\dfrac{\lambda_a}{\lambda_g}$

$\lambda_g=\dfrac{\lambda_a}{n}$

$\lambda_g=\dfrac{4500\times 10^{-10}}{1.55}$

$\lambda_g=2.90\times 10^{-7}\ m/s$

Hence, this is the required solution.

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