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Phase Difference

The value of ...

Question

The value of resultant amplitude produced due to interference of two waves is given by -
$y_{1}$ = 4 sin wt and $y_{2}$ = 3 cos wt

A

7

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B

5

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C

1

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D

25

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Solution

The correct option is B 5
$\begin{matrix} A s e q u a t i o n o f f i r s t w a v e i s y_{1} = 4 sin ω t e q u a t i o n o f sec o n d w a v e y_{2} = 3 cos ω t A m p l i t u d e o f f i r s t w a v e a_{1} = 4 a m p l i t u d e o f sec o n d w a v e a_{2} = 3 R e s u l tan t = \sqrt{4^{2} + 3^{2}} = \sqrt{25} = 5 \end{matrix}$
Hence, the option $B$ is the correct answer.

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