First slide

Young's double slit Experiment

Question

In the Young's double slit experiment, if the phase difference between the two waves interfering at a point is $ϕ,$ the intensity at that point can be expressed by the expression

Moderate

A

$I = \sqrt{A^{2} + B^{2} \cos^{2} ϕ}$
B

$I = \frac{A}{B} cosϕ$
C

$I = A + Bcos \frac{ϕ}{2}$
D

$I = A + Bcosϕ$

Solution

$I = a_{1}^{2} + a_{2}^{2} + 2 a_{1} a_{2} cosϕ$
Put $a_{1}^{2} + a_{2}^{2} = A and a_{1} a_{2} = B ∴ I = A + Bcosϕ$

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