A pendulum has time period T for small oscillations. An obstacle P is situated below the point of suspension O at a distance 3 l 4 . The pendulum is released from rest. Throughout the motion the moving string makes small angles with vertical. Time after which the pendulum returns back to its initial position is -

Question

A pendulum has time period T for small oscillations. An obstacle P is situated below the point of suspension O at a distance 3 l 4 . The pendulum is released from rest. Throughout the motion the moving string makes small angles with vertical. Time after which the pendulum returns back to its initial position is -, T, 3 T / 4, 3 T / 5, 4 T / 5

MARKS App · Accepted Answer

first half oscillation is covered with length l and second half with length 3 l 4 therefore total time can be measured by t = T 1 2 + T 2 2 T 1 = 2 π 1 g = T T 2 = 2 π 1 / 4 g = T 2 Putting value we get t = 3 T 4

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