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Question

The amplitude of a wave represented by displacement equation y=1asin ωt±1bcos ωt will be


A

a+bab

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B

a+bab

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C

a±bab

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D

a+bab

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Solution

The correct option is D

a+bab


Assume 1a=A cos θ (i)

1b=A sin θ (ii)

On simplifying, we get y=A sin(ωt±θ)

Squaring and adding Eqs. (i) and (ii) A=a+bab


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