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Suppose two linear waves of equal amplitude and frequency have

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Suppose two linear waves of equal amplitude and frequency have a phase difference $ϕ$ as they travel in the same medium. They can be represented by
$y_{1} = A sin (k x - ω t)$
$y_{2} = A sin (k x - ω t + ϕ)$
Show that constructive interference occurs if $ϕ = 0, 2 π, 4 π$ and so on and destructive interference occurs if $ϕ = π, 3 π, 5 π$ etc.

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Suppose two linear waves of equal amplitude and frequency have a phase difference

ϕ

as they travel in the same medium. They can be represented by

y_{1} = A sin (k x - ω t)

y_{2} = A sin (k x - ω t + ϕ)

Show that constructive interference occurs if

ϕ = 0, 2 π, 4 π

and so on and destructive interference occurs if

ϕ = π, 3 π, 5 π

etc.

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Question Text	Suppose two linear waves of equal amplitude and frequency have a phase difference $ϕ$ as they travel in the same medium. They can be represented by $y_{1} = A sin (k x - ω t)$ $y_{2} = A sin (k x - ω t + ϕ)$ Show that constructive interference occurs if $ϕ = 0, 2 π, 4 π$ and so on and destructive interference occurs if $ϕ = π, 3 π, 5 π$ etc.
Answer Type	Video solution: 1
Upvotes	151