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A particle moves with simple harmonic motion in a straight line. In first τ s, after starting from rest it travels a distance a, and in next τ s it travels 2a, in same direction, then:
  • a)
    amplitude of motion is 3a
  • b)
    time period of oscillations is 8τ
  • c)
    amplitude of motion is 4a
  • d)
    time period of oscillations is 6τ
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A particle moves with simple harmonic motion in a straight line. In fi...
In simple harmonic motion, starting from rest,
At t = 0 , x = A
x = Acosωt ..... (i)
When t = τ , x = A – a
When t = 2 τ , x = A –3a
From equation (i)
A – a = Acosω τ ......(ii)
A – 3a = A cos2ω τ ......(iii)
As cos2ωτ = 2 cos2 ωτ – 1 …(iv)
From equation (ii), (iii)  and (iv)
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A particle moves with simple harmonic motion in a straight line. In first τ s, after starting from rest it travels a distance a, and in next τ s it travels 2a, in same direction, then:a)amplitude of motion is 3ab)time period of oscillations is 8τc)amplitude of motion is 4ad)time period of oscillations is 6τCorrect answer is option 'D'. 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 A particle moves with simple harmonic motion in a straight line. In first τ s, after starting from rest it travels a distance a, and in next τ s it travels 2a, in same direction, then:a)amplitude of motion is 3ab)time period of oscillations is 8τc)amplitude of motion is 4ad)time period of oscillations is 6τCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves with simple harmonic motion in a straight line. In first τ s, after starting from rest it travels a distance a, and in next τ s it travels 2a, in same direction, then:a)amplitude of motion is 3ab)time period of oscillations is 8τc)amplitude of motion is 4ad)time period of oscillations is 6τCorrect answer is option 'D'. Can you explain this answer?.
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