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  • The equation of a wave is given by. If the

The equation of a wave is given byy=10sin\left(\frac{2\pi}{45}t+\alpha\right). If the displacement is 5cm at t =0, then the total phase at t = 7.5 s is 

Option: 1

\pi


Option: 2

\frac{\pi}{6}


Option: 3

\frac{\pi}{2}


Option: 4

\frac{\pi}{3}


Answers (1)

best_answer

Given, y=10sin\left(\frac{2\pi}{45}t+\alpha\right)

If t = 0, y = 5cm

putting these values in given equation, 

5 = 10sin\alpha

sin\alpha =\frac{1}{2}

\alpha =\frac{\pi}{6}

If t = 7.5s

Then, total phase = \frac{2\pi}{45}\times\frac{15}{2}+\frac{\pi}{6} = \frac{\pi}{3}+\frac{\pi}{6} = \frac{\pi}{2}

Posted by

avinash.dongre

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