Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
The displacement of a string carrying a travelling sinusoidal wave is given by \[y=A\sin (kx-\omega t-\phi )\] At\[t=0,\]the particle at\[x=0\]is having half of the maximum amplitude and is moving in upward direction. The value of \[\phi \]may be (1) \[60{}^\circ \] (2) \[30{}^\circ \] (3) \[300{}^\circ \] (4) \[330{}^\circ \]A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: C
Solution :
Here, at\[t=0,\text{ }x=0\]and\[y=\pm \text{ }\frac{A}{2}\] So, \[\sin \phi =\pm \frac{1}{2}\] \[\Rightarrow \] \[\phi ={{30}^{o}}\] or \[330{}^\circ \].
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