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JEE Main 202127 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
27 August
Shift
Morning Shift
Subject
Physics
Chapter
Oscillations

JEE Main 2021 · 27 August · Morning Shift · Physics · Oscillations

The variation of displacement with time of a particle executing...

The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure.

The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure. The

The potential energy U(x)U ( x ) versus time (t)\left(t\right) plot of the particle is correctly shown in figure:

Options

  1. ASentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a
  2. BSentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a
  3. CSentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a
  4. DSentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a

Correct answer

D. Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a

Step-by-step solution

Considering→\to Spring −- mass system

x=x0sin\omegatx = {x}_{0}sin\omegat

P.E.=12kx2=12kxo2sin⁡2\omegat=csin⁡2\omegatP . E . = \dfrac{1}{2}k{x}^{2} = \dfrac{1}{2}kx{o}^{2}\sin^{2}\omegat = c\sin^{2}\omegat

⇒PE=(1−cos⁡2\omegat2)⇒ PE = \left(\dfrac{1 - \cos 2\omegat}{2}\right)

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