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Consider the wave y = (10 mm) sin[(5picm...

Consider the wave `y = (10 mm) sin[(5picm^(-1))x-(60pis^(-1))t + (pi)/(4)]`. Find (a) the amplitude (b) the wave number (c) the wavelength (d) the frequency f the time period and (f) the wave velcity (g) phase constant of `SHM` of particle at `x = 0`.

Text Solution

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The correct Answer is:
(a) `10 mm` , (b) `5 pi cm^(-1)` , (c) `30 Hz` , (d) `30 Hz` , (e) `(1)/(30)s` , (f) `12 cm//s`
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Knowledge Check

  • A sinusoidal wave is propagating in negative x-direction in a string stretched along x-axis. A particle of string at x=2 cm is found at its mean position and it is moving in positive y-direction at t=1 s. the amplitude of the wave, the wavelength and the angular frequency of the wave are 0.1m,pi//4m and 4pi rad//s , respectively. The speed of particle at x=2 m and t=1 s is

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