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Standard XII

Physics

The Effect of Path Difference

In the case o...

Question

In the case of the waves from two coherent sources $S_{1}$ and $S_{2}$ , there will be constructive interference at an arbitrary point P, the path difference $S_{1} P - S_{2} P$ is then

[n + \frac{1}{2}] λ

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n λ

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[n - \frac{1}{2}] λ

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\frac{λ}{2}

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Solution

The correct option is B $n λ$
constructive interference occurs when the path differences $(S_{1} P - s_{2} P)$ is an integral multiple of $λ$ or $(S_{1} P - s_{2} P) = n λ$
Where n=0,1 ,2 3,........

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Similar questions

Q. Two waves originating from sources

S_{1}

and

S_{2}

having zero phase difference and common wavelength

λ

will show complete destructive interference at a point P if

s_{1} p - s_{2} p

Q. In Youngs double slit experiment, an interference patterns is obtained for

λ = 6000 ˚ A

, coming from two coherent sources

S_{1}

and

S_{2}

. At certain point

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on the screen third dark fringe is formed. Then , the path difference

S_{1} P - S_{2} P

in microns is:

Two coherent waves represented by $y_{1} = A sin (\frac{2 π x_{1}}{λ} - ω t + \frac{π}{6})$ and $λ_{2} = A sin (\frac{2 π x_{2}}{λ} - ω t + \frac{π}{8})$ are superposed. The path difference $(x _{1} - x_{2})$ to produce constructive interference $(n ϵ I)$ .

Q. There is a destructive interference between the two waves of wavelength

λ

coming from two different paths at a point. To get maximum sound or constructive interference at that point, the path of one wave is to be increased by

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and

S_{2}

are the two coherent point sources of light located in the xy-plane at points (0,0) and (0,3

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In the case of the waves from two coherent sources S1 and S2 , there will be constructive interference at an arbitrary point P, the path difference S1P−S2P is then

The correct option is B nλconstructive interference occurs when the path differences (S1P−s2P) is an integral multiple of λ or (S1P−s2P)=nλWhere n=0,1 ,2 3,........

In the case of the waves from two coherent sources $S_{1}$ and $S_{2}$ , there will be constructive interference at an arbitrary point P, the path difference $S_{1} P - S_{2} P$ is then

The correct option is B $n λ$
constructive interference occurs when the path differences $(S_{1} P - s_{2} P)$ is an integral multiple of $λ$ or $(S_{1} P - s_{2} P) = n λ$
Where n=0,1 ,2 3,........