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Two simple pendulums of length 0.5 {~m} and 20 {~m} respective

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Medium

Solving time: 3 mins

Two simple pendulums of length $0.5 m$ and $20 m$ respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed .... oscillations.

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Updated on: May 5, 2023

Book:

Master Resource Book in JEE Main Physics (Arihant)

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Mateo Discussed

Two simple pendulums of length

0.5 m

and

20 m

respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed .... oscillations.

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Let

T_{1}

and

T_{2}

be the time period of shorter length and longer length pendulums reapectively. As per question,

n T_{1} = (n - 1) T_{2}

n 2 π \frac{0.5}{g} = (n - 1) 2 π \frac{20}{g}

Hence,

n = (n - 1) 40 \approx (n - 1) 6

5n=6
Hence, after 5 oscillations they will be in same phase.

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Question Text	Two simple pendulums of length $0.5 m$ and $20 m$ respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed .... oscillations.
Updated On	May 5, 2023
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 11
Upvotes	1293
Avg. Video Duration	5 min

Two simple pendulums of length $0.5 m$ and $20 m$ respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed .... oscillations.

Text solutionVerified

Filo tutor solutions (11)

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Two simple pendulums of length 0.5 m and 20 m respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed .... oscillations.

Text solutionVerified

Filo tutor solutions (11)

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Two simple pendulums of length $0.5 m$ and $20 m$ respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed .... oscillations.