SATHEE: Optics Question 864

Optics Question 864

Question: Two coherent sources separated by distance d are radiating in phase having wavelength X. A detector moves in a big circle around the two sources in the plane of the two sources. The angular position n=4 interference maxima is given as

Options:

A) $\sin^{- 1} \frac{n λ}{d}$

B) $\cos^{- 1} \frac{4 λ}{d}$

C) $\tan^{- 1} \frac{d}{4 λ}$

D) $\cos^{- 1} \frac{λ}{4 d}$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Path difference, $Δ x = S_{1} P - S_{2} P = d \cos θ$

$∴ d \cos θ = 4 λ$ or $\cos θ = (4 λ / d)$

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Optics Question 864

Question: Two coherent sources separated by distance d are radiating in phase having wavelength X. A detector moves in a big circle around the two sources in the plane of the two sources. The angular position n=4 interference maxima is given as

Options:

Answer:

Solution:

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