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QJEEM20Ph4f51: JEE Main 2020 Physics - Class 12 JEEM20Ph4f51 Solution: A Young's double-slit experiment is performed using…

A Young's double-slit experiment is performed using monochromatic light of wavelength λ. The intensity of light at a point on the screen, where the path difference is λ, is K units. The intensity of light at a point where the path difference is λ6 is given by nK12, where n is an integer. The value of n is __________.

Step-by-Step Verified Solution

From 1st case,

Δϕ = 2πλ×λ = 2π

∴ Inet = 4Icos2 Δϕ2 = 4I = K (Given)

From 2nd case,

Δϕ = 2πλ×λ6 = π3

∴ Inet = 4I cos2 Δϕ2

= 4I × 34 = 34K

∴ According to question,

nK12 = 34K

⇒ n = 9

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