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 reflected and refracted light be affected?
(a) Angular width
of fringe in double-slit experiment is given by ![]()
Where,
D= spacing between the slits
Given, wavelength of light A= 600 nm
Angular width of fringe, ![]()
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(b) The frequency and wavelength of reflected wave will not change.
The refracted wave will have same frequency, only wavelength will change.
The velocity of light in water is given by,
![]()
Where, v= velocity of light
f= frequency of light
= wavelength of light
As light ray is travelling from rarer medium to denser medium, its speed will decrease. Hence wavelength will also decrease.
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