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JEE Main 2023 (1 Feb, Shift 1) · Energy in SHM

Energy in SHM question from JEE Main 2023 (1 Feb, Shift 1)

Q41JEE Main 2023 · 1 FEB · SHIFT 1Easy

Energy in SHM

The amplitude of a particle executing SHM is 3 cm3\text{ cm}. The displacement at which its kinetic energy will be 25%25\% more than the potential energy is: __________ cm\text{cm}

Numerical answer type. Work it out, then open the answer.

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Answer: 2

  1. KE=1.25 PEKE = 1.25\,PE and KE+PE=E⇒2.25 PE=EKE + PE = E \Rightarrow 2.25\,PE = E.
  2. x2A2=PEE=12.25⇒xA=23\frac{x^2}{A^2} = \frac{PE}{E} = \frac{1}{2.25} \Rightarrow \frac{x}{A} = \frac{2}{3}
  3. x=23×3=2x = \frac{2}{3} \times 3 = 2 cm
  4. So the answer is 2 cm.
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