Two coherent waves are represented by Y1- A1cos- t- Y2- A2sin- t-The resultant intensity due to interference is proportional to

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Wave Equation of EM Waves

Two coherent ...

Question

Two coherent waves are represented by $Y_{1} = A_{1} cos ω t$ . $Y_{2} = A_{2} sin ω t$ .
The resultant intensity due to interference is 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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y_{1} = A_{1} s i n (ω t - β_{1}), y_{2} = A_{2} s i n (ω t - β_{2})

y_{1} = a_{1} cos ω t

y_{2} = a_{2} cos ω t

A particle is subjected to two simple harmonic motions given as $x_{1} = A_{1} s i n ω t$ and $x_{2} = A_{2} s i n (ω t + \frac{π}{3})$

Find A. the displacement at t = 0

B. the maximum speed of the particle and

C. the maximum acceleration of the particle

a_{1}, a_{2}, a_{3}, a_{4}

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

(a_{1} - a_{2})^{2} + (a_{2} - a_{2})^{2} + (a_{3} - a_{4})^{2} + (a_{4} - a_{1})^{2}

x_{1} = A_{1} s i n ω t

x_{2} = A_{2} (ω t + \frac{π}{4})

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