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A monochromatic light wave with wavelength \(\lambda_1\) and frequency \({\nu }_{1}\) in air enters another medium. If t…

Q1

A monochromatic light wave with wavelength \(\lambda_1\) and frequency \({\nu }_{1}\) in air enters another medium. If the angle of incidence and angle of refraction at the interface are \(45^{\circ}\) and \(30^{\circ}\) respectively, then the wavelength \(\lambda_2\) and frequency \({\nu }_{2}\) of the refracted wave are:

[JEE Main 2023, 6 Apr (Shift 1)]

a

\({\lambda }_{2}={\lambda }_{1},{\nu }_{2}=\sqrt{2}{\nu }_{1}\)

b

\({\lambda }_{2}=\frac{1}{\sqrt{2}}{\lambda }_{1},{\nu }_{2}={\nu }_{1}\)

c

\({\lambda }_{2}=\sqrt{2}{\lambda }_{1},{\nu }_{2}={\nu }_{1}\)

d

\({\lambda }_{2}={\lambda }_{1},{\nu }_{2}=\frac{1}{\sqrt{2}}{\nu }_{1}\)

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