MHT CET Physics question

PhysicsOscillationsMHT CET

Two simple pendulums of lengths 1 m and 16 m respectively are both given small displacements in the same direction at the same instant. They will again be in phase, after the shorter pendulum has completed, the number of oscillations are

Answer: (B)

Solution

, so and the shorter pendulum has the larger frequency; they are next in phase when the shorter has gained exactly one full oscillation: gives (at both are at phase

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Question ID VK-067920