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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 â„« 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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