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  • Two particles of medium distributed by wave propagation are at x1 = 0 and x2 = 1cm. The respective displacements (in cm) of particles can be given by the equations</

Two particles of medium distributed by wave propagation are at x1 = 0 and x2 = 1cm. The respective displacements (in cm) of particles can be given by the equations

y_1=5\sin (\pi t)

y_2=5\sin \left (\pi t-\frac{\pi}{4} \right )

The wave speed is

Option: 1

8 cm/s


Option: 2

6 cm/s


Option: 3

2 cm/s


Option: 4

4 cm/s


Answers (1)

best_answer

\omega = \pi

f=\frac{\omega }{2\pi}=\frac{1}{2}

Path difference = \Delta =1cm

\phi =\left ( \frac{2\pi}{\lambda} \right )\Delta

\frac{\pi}{4}=\left ( \frac{2\pi}{\lambda} \right )\times (1cm)

\Rightarrow \lambda = 8cm

V= f\lambda =\frac{1}{2}\times 8\times 10^{-2}=4cm/s

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mansi

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