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Question: The equation of a simple harmonic wave is given by *y* = 5 sin (100*t* – *x*), where x and y are in ...

The equation of a simple harmonic wave is given by y = 5 sin (100tx), where x and y are in meter and time is in second will be

A

0.04

B

0.01

C

1

D

5

Answer

0.04

Explanation

Solution

y=5sinπ2(100tx)y = 5\sin\frac{\pi}{2}(100t - x)

y=Asin(ωtkx)y = A\sin(\omega t - kx)

ω=2πT=π2×100\therefore\omega = \frac{2\pi}{T} = \frac{\pi}{2} \times 100

Or T=250=0.045T = \frac{2}{50} = 0.045