Single correct option
A simple pendulum of length has period when oscillating through small angles in a fixed laboratory. List-I describes four situations of the same pendulum and List-II gives the ratio of the new period to . Match List-I with List-II.
List-I
(P) Pendulum in a lift accelerating upward at
(Q) Pendulum in a vehicle accelerating horizontally at
(R) Pendulum whose string, when vertical, is caught at its midpoint by a fixed peg (small oscillations on both sides)
(S) Pendulum in a lift accelerating downward at
List-II
(1)
(2)
(3)
(4)
(5)
List-I
(P) Pendulum in a lift accelerating upward at
(Q) Pendulum in a vehicle accelerating horizontally at
(R) Pendulum whose string, when vertical, is caught at its midpoint by a fixed peg (small oscillations on both sides)
(S) Pendulum in a lift accelerating downward at
List-II
(1)
(2)
(3)
(4)
(5)
- A. P→3, Q→2, R→4, S→1
- B. P→3, Q→2, R→1, S→4
- C. P→5, Q→2, R→4, S→1
- D. P→3, Q→4, R→2, S→1
Show answer and solution
Answer: (A) P→3, Q→2, R→4, S→1
The period is , so . (P) , so , which is (3). (Q) , so , which is (2). (R) The complete oscillation consists of half a swing with length and half a swing with length , so , so , which is (4). (S) , so , which is (1). Item (5) is unused. Thus P→3, Q→2, R→4, S→1.
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