Q.
A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resulting amplitude is equal to the amplitude of individual motions, the phase difference between them is
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a
π/3
b
2π3
c
π6
d
π/2
answer is B.
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Detailed Solution
given A1=A2=Anet and Anet=A Resultant amplitude Anet=A12+A22+2A1A2cosθ ⇒A=A2+A2+2A2cosθ squaring both side A2=2A2+2A2cosθ ⇒ 2A2cosθ=-A2 ⇒cosθ=-1/2, ⇒ θ=120∘ ⇒ θ=2π3.
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