Umakant Kondapure, Collin Fernandes, Nipun Bhatia, Vikram Bathula and, Ketki Deshpande Solutions for Chapter: Wave Theory of Light, Exercise 3: Competitive Thinking

The $6563 \mathrm{\AA }$ line emitted by hydrogen atom in a star is found to be red shifted by $5 \mathrm{\AA }$. The speed with which the star is receding from the earth is,

An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency $10 \mathrm{GHz}$. What is the frequency of the microwave measured by the observer? (Speed of light is $3\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$).

On a hot summer night, the refractive index of air is the smallest near the ground and increases with a height from the ground. When á light beam is directed horizontally, the Huygens' principle leads us to conclude that as it travels, the light beam

A light has amplitude A and angle between analyser and polariser is $60^{\circ} .$ Light reflected by analyser has amplitude 

The refractive index of glass w.r.t a medium is $\frac{4}{3}$. If $v_{\mathrm{m}}-v_{\mathrm{g}}=6.25\times {10}^7 \mathrm{m} {\mathrm{s}}^{-1},$ then the velocity of light in the medium will be

Light enters from air into a medium of refractive index $1.5$, the percentage change in its wavelength is, 

The angle of incidence is found to be twice the angle of refraction when a ray of light passes from vacuum into a medium of R.I. $\mu$. The angle of incidence will be 

How fast a person should drive his car so that the red signal of light appears green? (Wavelength for red colour$=6200 \mathrm{\AA }$ and wavelength for green colour$=5400 \mathrm{\AA }$.)