Two coherent waves are represented by y1-a1cos- t and y2-a2cos- t- The maximum intensity due to interference will be proportional to

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YDSE Problems I

Two coherent ...

Question

Two coherent waves are represented by $y_{1} = a_{1} cos ω t$ and $y_{2} = a_{2} cos ω t$ . The maximum intensity due to interference will be proportional to

(a_{1} + a_{2})

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(a_{1} - a_{2})

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(a_{1}^{2} + a_{2}^{2})

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(a_{1}^{2} - a_{2}^{2})

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Solution

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Similar questions

Y_{1} = A_{1} cos ω t

Y_{2} = A_{2} sin ω t

y_{1} = A_{1} s i n (ω t - β_{1}), y_{2} = A_{2} s i n (ω t - β_{2})

\frac{I_{m a x}}{I_{m i n}} = {(\frac{A_{1} + A_{2}}{A_{1} - A_{2}})}^{2}

a_{1}, a_{2}, a_{3}, . . . . . a_{2 n}

a_{1}^{2} - a_{2}^{2} + a_{3}^{2} - . . . . + a_{2 n - 1}^{2} - a_{2 n}^{2}

a_{1}, a_{2}, a_{3}

S = a_{1}^{2} - a_{2}^{2} + a_{3}^{2} - a_{4}^{2} +

a_{2 k}^{2}

= \frac{k}{2 k - 1} (a_{1}^{2} - a_{2 k}^{2})

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