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  • The equation of a wave is given by <img alt="y=10 \sin \left(\frac{2 \pi}{45} t+\alpha\right)" src="https://entrancecorner.oncodecogs.com/gif.latex?y%3D10%20%5Csin%20%5Cleft%28%5Cfrac%7B2%20%5

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

 

Option: 1

\pi


Option: 2

\frac{\pi}{6}


Option: 3

\frac{\pi}{2}


Option: 4

\frac{\pi}{3}


Answers (1)

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

if t=0, y=5cm

Putting these values in given equation, 

5=10 \sin \alpha

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

Ramraj Saini

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