The path difference between two interfering light waves meeting at a point on the screen is (57/2)λ. The bond obtained at that point is (a) 29th bright band (b) 57th dark band (c) 57th bright band (d) 29th dark band

Answer: (d). Path difference is an odd multiple of (λ)/(2), so the point is dark. n th dark: ((2n-1)λ)/(2) = (57λ)/(2) ⇒ n = 29 So the answer is (d) 29th dark band.

The path difference between two interfering light waves meeting at a… | MHT CET 2021 (24 Sep, Shift 2)

Q52MHT CET 2021 · 24 SEP · SHIFT 2Easy

YDSE: Fringe Width & Fringe Positions

The path difference between two interfering light waves meeting at a point on the screen is $\left(\frac{57}{2}\right)\lambda$ . The bond obtained at that point is

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Answer: (d)

Path difference is an odd multiple of $\frac{\lambda}{2}$ , so the point is dark.
$n$ th dark: $\frac{(2n-1)\lambda}{2} = \frac{57\lambda}{2} \Rightarrow n = 29$
So the answer is (d) 29th dark band.

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