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MHT CET 2019 (2 May, Shift 2) · Simple Pendulum

Simple Pendulum question from MHT CET 2019 (2 May, Shift 2)

Q73MHT CET 2019 · 2 MAY · SHIFT 2Medium

Simple Pendulum

Two pendulums begin to swing simultaneously. The first pendulum makes nine full oscillations when the other makes seven. The ratio of the lengths of the two pendulums is

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Answer: (a)

Same time: $9T_1 = 7T_2 \Rightarrow \frac{T_1}{T_2} = \frac{7}{9}$ .
$l \propto T^2 \Rightarrow \frac{l_1}{l_2} = \frac{49}{81}$
So the answer is (a) $\frac{49}{81}$ .

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