Two particles execute SHM of the same amplitude 20 cm and the same period along the same line about the same equilibrium position. The maximum distance between them is 20 cm. Their phase difference is:
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Question

Two particles execute SHM of the same amplitude 20 cm and the same period along the same line about the same equilibrium position. The maximum distance between them is 20 cm. Their phase difference is:

Options

G1 Physics · Accepted Answer

For equal amplitudes A, the maximum separation is 2A|sin(Δφ/2)|. Here A=20 cm and maximum separation=20 cm, so 2A sin(Δφ/2)=A ⇒ sin(Δφ/2)=1/2. The smaller phase difference is Δφ=π/3. Correct answer: C.