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For a particle executing simple harmonic motion, the displacement x is given by x = A cosωt. Identify the graphs which represent the variation of potential energy (PE) as a function of time t and displacement x (see figure).





  • a)
    I

  • b)
    II, IV

  • c)
    II, III

  • d)
    I, IV

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For a particle executing simple harmonic motion, the displacement x is...
Given x = A cos ωt. As a function of x, the PE is given by
At x = 0, PE = 0.
Hence, the correct graph is III.
As a function of t, the PE is given by

At t = 0, PE is maximum equal to 
Hence, the correct graph is I.
Thus, the correct choice is (1).
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For a particle executing simple harmonic motion, the displacement x is given by x = A cosωt. Identify the graphs which represent the variation of potential energy (PE) as a function of time t and displacement x (see figure).a)Ib)II, IVc)II, IIId)I, IVCorrect answer is option 'A'. Can you explain this answer?
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For a particle executing simple harmonic motion, the displacement x is given by x = A cosωt. Identify the graphs which represent the variation of potential energy (PE) as a function of time t and displacement x (see figure).a)Ib)II, IVc)II, IIId)I, IVCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about For a particle executing simple harmonic motion, the displacement x is given by x = A cosωt. Identify the graphs which represent the variation of potential energy (PE) as a function of time t and displacement x (see figure).a)Ib)II, IVc)II, IIId)I, IVCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a particle executing simple harmonic motion, the displacement x is given by x = A cosωt. Identify the graphs which represent the variation of potential energy (PE) as a function of time t and displacement x (see figure).a)Ib)II, IVc)II, IIId)I, IVCorrect answer is option 'A'. Can you explain this answer?.
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