Question

The equations of four independent waves are as following Y1 = a1 , sin wt , Y2 = a2 sin2wt Y3 = a3, Y4 = a4 sin4wt these waves between which waves interference is possible and why ? Write down two conditions for constructive interference and plot graph between phase difference and Intensity.​

Answer 1

Answer:

Wave Y1 and Y3 will show interference

relation for constructive interference

$\Delta \theta = 2N\pi$

relation for destructive interference

$\Delta \theta = (2N+1)\pi$

Explanation:

Four waves are given as

$Y_1 = a_1 sin\omega t$

$Y_2 = a_2 sin2\omega t$

$Y_3 = a_3 cos\omega t$

$Y_4 = a_4 sin4\omega t$

So here interference is given by wave Y1 and Y3

Because as per the condition of interference we know that two waves of same frequency which are travelling in same direction will show interference when it superimpose at a point on the screen

So here Y1 and Y3 will show interference as they are given as same frequency

For constructive interference phase difference of two waves must be even multiple of "pi"

$\Delta \theta = 2N\pi$

For destructive interference phase difference of two waves must be odd multiple of "pi"

$\Delta \theta = (2N+1)\pi$

Graph of intensity is given as

#Learn

Topic : Interference

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