Wave Mechanics Question 580

Question: A simple harmonic wave having an amplitude a and time period T is represented by the equation $ y=5\sin \pi (t+4)m $ . Then the value of amplitude in (m) and time period (T) in second are

Options:

A) $ a=10,,T=2 $

B) a=5,T=l

C) a=10,T=l

D) a=5,T=2

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ y=5\sin (\pi t+4\pi ), $ comparing it with standard equation $ y=a,\sin (\omega t+\phi )=a,sin( \frac{2\pi t}{T}+\phi ) $

$ a=5m $ and $ \frac{2\pi t}{T}=\pi t\Rightarrow T=2\sec $ .



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