Question

A Ray of light of frequency of 5×10^14 hertz is passed through the liquid the wavelength of light measured inside found to be 450 ×10^-9 m. find refractive index of liquid.

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Answer 1

$\boxed{\boxed{\mathtt{Answer= 1.33 }}}$

We have Velocity =

$\implies\:v = 5 \times{10}^{14}Hz$

Wavelength of the light =

$\implies\:\lambda = 450 \times 10^{- 9}m$

Therefore, velocity if light inside the liquid,

$\implies\:u = v\lambda = 5 \times10^{14} \times450 \times 10^{ - 9}\\\\= 2.25 \times 10^{8}m\:s^{- 1}$

Hence, refractive index of the liquid,

$\implies\mu = \frac{c}{v} = \frac{3 \times 10^{8} }{2.25 \times 10 ^{8} } = 1.33$