1.

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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