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

Correct answer: 0 I = I _ 0 ^ 2 (ϕ)/(2) = kcos ^ 2 ((π)/(λ) × (λ)/(6)) = k ^ 2 ((π)/(6)) = (3k)/(4) = (9k)/(12) n = 9

JEE Main 20206 SeptemberEvening Shift

JEE Main 2020 · 6 September · Evening Shift · Physics · Wave Optics

A Young's double-slit experiment is performed using monochromatic...

A Young's double-slit experiment is performed using monochromatic light of wavelength

\lambda

. The intensity of light at a point on the screen, where the path difference is

\lambda

, is

K

units. The intensity of light at a point where the path difference is

\dfrac{\lambda}{6}

is given by

\dfrac{nK}{12}

, where

n

is an integer. The value of

n

$I = {I}_{0}\cos^{2}\dfrac{ϕ}{2}$

$= {kcos}^{2}\left(\dfrac{\pi}{\lambda} \times \dfrac{\lambda}{6}\right)$

$= k\cos^{2}\left(\dfrac{\pi}{6}\right)$

$= \dfrac{3k}{4} = \dfrac{9k}{12}$

$n = 9$