﻿ Two identical coherent sources are placed on a diameter of a circle of radius R at separation x (<< R) symmetrical about the centre of the circle. The sources emit identical wavelength λ each. The number of points on the circle of maximum intensity is (x = 5λ).   : Kaysons Education

# Two Identical Coherent Sources Are Placed On A Diameter Of A Circle Of Radius R at Separation x (<< R) Symmetrical About The Centre Of The Circle. The Sources Emit Identical Wavelength λ each. The Number Of Points On The Circle Of Maximum Intensity Is (x = 5λ).

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## Question

### Solution

Correct option is

20

Path difference at P is

For intensity to be maximum,

Substituting x = 5λ, we get

Therefore, in all four quadrants there can be 20 maxima. There are more maxima at θ = 0o and θ = 180o. But n = 5 corresponds to θ = 90o and θ = 270o which are coming only twice while we have multiplied if four times. Therefore, total number of maxima are still 20, i.e., n = 1 to 4 in four quadrants (total 16) plus more at θ = 0o, 90o, 180o and 270o.

#### SIMILAR QUESTIONS

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Q2

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Q9

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Q10

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