an interference pattern is produced by four parallel and equally spaced narrow slits. by drawing appropriate phasor diagrams, explain why there is an interference minimum when the phase difference from adjacent slits is:

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21-10-2022
Physics

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an interference pattern is produced by four parallel and equally spaced narrow slits. by drawing appropriate phasor diagrams, explain why there is an interference minimum when the phase difference from adjacent slits is:

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kjuli1766 kjuli1766 · Answer 1 · 2022-10-26T01:40:46-04:00

The minimum interference when the phase difference from adjacent slits is ( A1 -A2)².

The amplitude of a periodic variable is the degree of its change in a single duration. The amplitude of a non-periodic signal is its important as compared with a reference cost. there are various definitions of amplitude, which are all features of the magnitude of the variations between the variable's excessive values.

Let A1 be the amplitude of the 1st wave and A2 be the amplitude of the 2nd wave.

Let the resultant amplitude be A.

the formula of interference, we get,

A= (A1)²+(A2)²+ 2×A₁× A₂ (cos theta)

When theta = 180 degrees = π radian, cos π= -1

Putting the value of cos theta in the equation we get,

A= (A1)² +(A2)² - 2×A1×A2

A= ( A1 -A2)²

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