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Question : 21
Total: 26
Answer the following questions:
(a) In a double slit experiment using light of wavelength600 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 wavelength5000 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) In a double slit experiment using light of wavelength
(b) Light of wavelength
Solution:
Finding the spacing between two slits Effect on wavelength and frequency of reflected and refracted light
(a) Angular width of fringes
θ =
,
whered = separation between two slits
Hereθ = 0.1 ∘ = 0.1 ×
radian
∴d =
m
= 3.43 × 10 − 4 m
= 0.34 m
(b) For Reflected light: Wavelength remains same Frequency remains same
For Refracted light: Wavelength decreases Frequency remains same
(a) Angular width of fringes
where
Here
∴
(b) For Reflected light: Wavelength remains same Frequency remains same
For Refracted light: Wavelength decreases Frequency remains same
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