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A sinusoidal wave travelling in the positive x-direction has an amplitude of `15.0 cm`, a wavelength of `40.0 cm` and a frequency of `8.00 Hz. The verticle displacement of the medium at `t = 0 and x = 0` is also `15.0 cm` as shown in figure. (a) Find the angular wave number `k`, period `T`, angular frequency `omega` and speed `v` of the wave. (b) Write a general expression for wave function. |
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Answer» Correct Answer - A::B::C::D (a) `k = (2pi)/(lambda) = (2pi)/(40) = 0.157 rad//cm` `T = (1)/(f) = (1)/(8) =0.125 s` `omega =(2pi)/(T) =(2pi)/(0.215) = 50.3 rad//s` `v = (omega)/(k) = 320 cm//s` (b) Amplitude is `15 cm`. At `t = 0 , x = 0, y = + A`. Hence, equation should be a `cos` equation. Further, wave is travelling in positive x-direction. Hence, `omegat` and `kx` should have opposite signs. |
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