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The equation of a wave is given by `y=10sin((2pi)/45t+alpha)` If the displacement is 5 cm at t = 0, then the total phase at t = 7.5 s isA. `pi/3`B. `pi/2`C. `pi/6`D. `pi` |
Answer» Correct Answer - B The equation of the wave is `y=10sin((2pi)/45t+alpha)` At t=0,y=5 cm `therefore5=10sinalpha` `1/2=sinalphaorsin(pi/6)=sinalpha` `alpha=pi/6` …(i) Hence, the total phase at `t=7.5 s(=15/2s)`is `phi=(2pi)/45xx15/2+alpha=pi/3+pi/6` (Using (i)) `=(3pi)/6=pi/2` |
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