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The displacement of a particle in a medium can be expressed as `y=10^(-6)sin(100t+20x+pi//4),` where x is in metre and t is in second. What is the speed of the wave?A. `2000 ms^(-1)`B. `5 ms^(-1)`C. `20 ms^(-1)`D. `5 pi ms^(-1)` |
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Answer» Correct Answer - B The displacement is given by `y=10^(-6) sin (100t+20x+pi/4)` Comparing with standard equation `y=a sin (omega t+kx+phi)` `omega=100, k=20` where, `omega` is angular frequency and k is angular wave number. Now, `k=(2pi)/lambda=(2 pi v)/(lambda v)=omega/v=20` `implies v=omega/20=100/20=5 ms^(-1)` So, the speed of the wave is `5 ms^(-1)`. |
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