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Question: Answered & Verified by Expert
For a simple pendulum, a graph is plotted between its kinetic energy (K.E.) and potential energy (P.E.) against its displacement d. which one of the following represents these correctly? (graphs are schematic and not drawn to scale)
PhysicsOscillationsJEE MainJEE Main 2015 (04 Apr)
Options:
  • A
  • B
  • C
  • D
Solution:
2915 Upvotes Verified Answer
The correct answer is:
For simple pendulum performing the simple harmonic motion, displacement, y=Asinωtv=dydt=ωAcosωt=ωA2-y2⇒K.E.=12mv2
This represents a downward parabola, Y=±AK.E.=12ω2m A2-A2=0P.E.=122y2. This represents an upward parabola. On plotting graphs of potential energy & kinetic energy.

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