A) 0.4 Hz, 2.5 s
B) 2.5 Hz, 0.4 s
C) 2.5 Hz, 2.5 s
D) 0.4 Hz, 0.4 s
Correct Answer: B
Solution :
The standard equation of a wave is \[y=a\sin (\omega t+\phi )\] ...(i) where a is amplitude, co the angular velocity and\[\phi \]the phase. Given, equation is \[y=3\sin (5\pi t+\pi )\] ...(ii) Comparing Eqs. (i) and (ii), we get \[\omega =5\pi \] Also, \[\omega =2\pi r\] \[\therefore \] \[n=\frac{\omega }{2\pi }=\frac{5\pi }{2\pi }=2.5\,Hz\] \[T=\frac{1}{n}=\frac{1}{2.5}=0.4\,s\]You need to login to perform this action.
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