1.

Answer the following questions : (a) In a double-slit experiment using light of wavelength 600 nm, the angular width of the fringe formed on a distant screen is 0.1. Find the spacing between the two slits. (b) Light of wavelength 5000 Å propagating in air gets partly reflected from the surface of water. How will the wavelengths and frequencies of the refleceted and refracted light be affected?

Answer»

Solution :`lambda = 600 nm = 600 xx 10^(-9) m`
`theta = 0.1^@ = (0.1 xx 3.14)/(180)`
`theta = lambda/a implies a = lambda/theta = (600 xx 10^(-9) xx 180)/(0.1 xx 3.14)`
`= 3.4 xx 10^(-4) m`.
(B) No change in wavelength and frequency of reflected LIGHT.
But for refracted light, frequency remais same but wavelength will become `1/(1.33)` TIMES the original wavelength.


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