Question

monochromatic light of wavelength 600 NM enters from air into a glass medium of refractive index 1.5 the wavelength of refracted ray inside the glass is what

Answer 1

c = Speed of light in air → 3 X 10^8 m/s

W → Wavelength

n → Refractive index of the medium = 1.5

W in air = 6000 A = 6 X 10^-7 metres

λ → Frequency in air = c / W in air = 5 X 10^14 Hz

n = W in air / W in the medium

1.5 = 6000 / W in the medium

W in the medium = 4000 A

Magnitude of frequency depends upon the light producing source hence it remains constant throughout ( 5 X 10^14 Hz) .

Answer 2

answer : 400 nm

explanation : we know, velocity of wave = wavelength of wave × frequency of wave

or, $v=\lambda\times f$

as you know, light shows dual nature. light and wave.

when light is wave .

then, velocity of light = wavelength × frequency.......(1)

we also know, velocity of light depends of refractive index of medium. velocity of light is inversely proportional to refractive index of medium.

from expression (1), wavelength also depends on refractive index of medium. it is also inversely proportional to refractive index of medium.

so, $\boxed{\bf{\lambda=\frac{\lambda_0}{\mu}}}$

here, $\lambda_0=600nm,\mu=1.5$

so, $\lambda=\frac{600}{1.5}=400nm$