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Test on Oscillations

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Question 1

Starting from the origin a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy ?

Question 2

For a simple pendulum, a graph is plotted between its kinetic energy (KE) and potential energy (PE) against its displacement d. Which one of the following represents these correctly?
(graph are schematic and not drawn to scale)

Question 3

The function sin²(ωt) represents

Question 4

If x, ν and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?

Question 5

Two simple harmonic motions are represented by the equation y₁ = 0.1 sin

and y₂ = 0.1 cosπt. The phase difference of the velocity of particle 1 w.r.t. the velocity of the particle 2 is

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Mar 18JEE & BITSAT