SATHEE: Optics Question 161

Optics Question 161

Question: A beam with wavelength l falls on a stack of partially reflecting planes with separation d. The angle q that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2,??)

Options:

A) $\sin^{- 1} (\frac{n λ}{d})$

B) $\tan^{- 1} (\frac{n λ}{d})$

C) $\sin^{- 1} (\frac{n λ}{2 d})$

D) $\cos^{- 1} (\frac{n λ}{2 d})$

Show Answer

Answer:

Correct Answer: C

Solution:

Path difference $= 2 d \sin θ$

$∴$ For constructive interference $2 d \sin θ = n λ$

$\Rightarrow θ = \sin^{- 1} (\frac{n λ}{2 d})$

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Optics Question 161

Question: A beam with wavelength l falls on a stack of partially reflecting planes with separation d. The angle q that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2,??)

Options:

Answer:

Solution:

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