Wave Mechanics Question 553

Question: The displacement vs time of a particle executing SHM is shown in figure. The initial phase $ \phi $ is

Options:

A) $ -\pi <\phi <-\frac{\pi }{2} $

B) $ \pi <\phi <\frac{3\pi }{2} $

C) $ -\frac{3\pi }{2}<\phi <-\pi $

D) $ \frac{\pi }{2}<\phi <\pi $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] For $ x=(-A), $ we have $ -A=A\sin ,(\omega \times 0+{\phi _{0}}),or,{\phi _{0}}=-\frac{\pi }{2} $ . So for $ x<(-A),,{\phi _{0}}<(-\pi /2) $ .