A simple pendulum A, while oscillating, rises to a maximum vertical height of 5 cm from its rest position. Another simple pendulum B of the same length as AT rises to a maximum height of 10 cm from its rest position. Which of the following is true regarding their time periods?

0.25 J,1 m/s

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0.25 J,5 m/s

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0.30 J,5 m/s

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0.30 J,1 m/s

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Solution

The correct option is C
0.30 J,5 m/s

The time periods of both pendulums will be the same. The time period depends only on length and acceleration due to gravity. In this cases, lengths are equal and acceleration due to gravity is constant.

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Similar questions

A simple pendulum, while oscillating rises to a maximum vertical height of $5 c m$ from its rest position. Assume its rest position is at ground level. If the mass of bob of the simple pendulum is $500 g$ and acceleration due to gravity g = $10 m / s^{2}$ . Find the below:
i) The total energy of simple pendulum at any instant while oscillating.
ii) The velocity of bob at its resting position.