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The equation of a travelling wave is `y(x, t) = 0.02 sin ((x)/(0.05) + (t)/(0.01)) m` Find (a) the wave velocity and (b) the particle velocity at `x = 0.2 m and t = 0.3 s`. |
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Answer» Correct Answer - A::B (a) Wave velocity `= ("Coefficient of t")/("Coefficient of x")` `=((1//0.01))/((1//0.05)) = 5 m//s` Since, coefficient of `t` and coefficient of `x` are of same sign. Wave is travelling in negative x-direction. or `v= - 5m//s` (b) Particle velocity, `v_(P) = (dely)/(delt)` `=2 cos ((x)/(0.05) + (t)/(0.01))` Substituting `x = 0.2` and `t = 0.3`, we have `= (2)(-0.85)` `= - 1.7 m//s` |
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