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Differential Equation of Wave

Two waves y...

Question

Two waves $y = 0.25 sin 316 t$ and $y = 0.25 sin 310 t$ are travelling in the same direction. The number of beats produced per second will be

A

6

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B

3

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C

3 / π

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D

3 π

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Solution

The correct option is C $3 / π$
$\begin{matrix} A c c o r r d i n g t o q u e s t i o n . . . . . . . . . . . . . . . . . . . . . . . H e r e : n_{1} = \frac{316}{2 π} a n d, f_{2} = \frac{310}{2 π} N o w, t h e n u m b e r o f b e a t s h e a r d p e r sec o n d = n_{1} - f_{2} = \frac{316}{2 π} - \frac{310}{2 π} = \frac{3}{π} S o t h e c o r r e c t o p t i o n i s C . \end{matrix}$

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