Question

If light incident in air at an angle of incidence 45° and refracted in other medium at an angle of refraction 30°. If wavelength in air is λ₁ and frequency is v₁ and in medium wavelength is λ₂ and frequency is v₂, then correct possible options are:

• A. \(\lambda _{1}=\frac{\lambda _{2}}{\sqrt{2}},v_{1}=v_{2}\)
• B. \(\lambda _{1}=\lambda _{2},v_{1}=\frac{v_{2}}{\sqrt{2}}\)
• C. \(\lambda _{1}=\lambda _{2},v_{2}=v_{1}\)
• D. \(\lambda _{2}=\frac{\lambda _{1}}{\sqrt{2}},v_{2}=v_{1}\)

Answer 1

The Correct Option is D

\(1 sin 45^{o}=\mu sin30^{o}\)
\(\mu=\sqrt{2}\)
\(\lambda _{2}=\frac{\lambda _{1}}{\sqrt{2}}\) and the frequency does not change along with the medium.

So, the correct answer is (D): \(\lambda _{2}=\frac{\lambda _{1}}{\sqrt{2}},v_{2}=v_{1}\)