(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hello,I have done this problem.Please check if it is correct.

Fraunhofar double slit diffraction pattern is observed on the focal plane of a lens of focal length 0.5m;wavelength of incident light used is 500nm;The distance between the maxima adjacent to the zeroth order maxima is 5mm & the 4th order is missing.Find the distance between their centres

2. Relevant equations

3. The attempt at a solution

linear distance between maximas y = f sin θ

if θ is small sin θ = θ so θ = y/f = 5mm/0.5m

=0.01

maximas are obtained (e+d) sin θ = n λ

n = 1 for maxima and zeroth maxima (e+d) θ = λ

(e+d) = λ / θ

e-slit width d-distance between the centres

(e+d) = 5*10^-5

condition of missing (e+d)/e = 4 { 4- order missing}

4e = 5*10^-5 so e = 1.25*10^-5

from the condition of missing e+d =4e so d = 3e

distance between the centres d = 3* 1.25*10^-5

=3.75*10^-5m

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# Homework Help: Diffraction problem II

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