1.

The equation of a wave is given by `y=10 sin ((2pi)/45 t+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
Given `y=10 sin [(2pi)/45 t+alpha]`
`y=5 cm` at `t=0`
`:. 5=10 (sin alpha)`
or `sin alpha =1/2` or `alpha =pi/6`
Again if `t=7.5 s`
Then, total phase `=(2pi)/45xx15/2+pi/6=pi/3+pi/6`
`=(2 pi +pi)/6=(3pi)/6=pi/2`


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