In Young's double slit experiment, how many maxima can be obtained on a screen (including central maxima), if d = 5 λ 2 (where λ is the wavelength of light)?

Question

In Young's double slit experiment, how many maxima can be obtained on a screen (including central maxima), if d = 5 λ 2 (where λ is the wavelength of light)?, 5, 4, 7, 1

MARKS App · Accepted Answer

In YDSE, path difference, Δ x = d sin θ For maxima, Δ x = n λ , where n = 0 , ± 1 , ± 2 .... 5 λ 2 sin θ = n λ (given that d = 5 λ 2 ) ⇒ sin θ = 2 n 5 ......... ( i ) Since, − 1 ≤ sin θ ≤ 1 Form (i) ⇒ − 1 ≤ 2 n / 5 ≤ 1 So, - 5 2 ≤ n ≤ 5 2 So, possible values of n are -2, -1, 0, 1, 2 . Thus a total of 5 maxima will be obtained.

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