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

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a=10, T=2

a=5, T=1

a=10,T=1

a=5, T=2

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detailed solution

Correct option is D

y=5sin(π t+4π), comparing it with standard equation y=asin(ω t+φ)=asin2 π tT+φa=5 m and 2 π tT=π t⇒T = 2 sec.

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

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Ready to Test Your Skills?

free study material

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