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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Oscillations

NEET 2024 · Physics · Oscillations

A particle executing simple harmonic motion with amplitude A has...

A particle executing simple harmonic motion with amplitude AA has the same potential and kinetic energies at the displacement

Options

  1. A2A2 \sqrt{A}
  2. BA2\frac{A}{2}
  3. CA2\frac{A}{\sqrt{2}}
  4. DA2A \sqrt{2}

Correct answer

C. A2\frac{A}{\sqrt{2}}

Step-by-step solution

Potential energy =12kx2=\frac{1}{2} k x^2 Kinetic energy =12kA2−12kx2=\frac{1}{2} k A^2-\frac{1}{2} k x^2 According to given condition 12kx2=12kA2−12kx2\frac{1}{2} k x^2=\frac{1}{2} k A^2-\frac{1}{2} k x^2 k2x2=kA2k 2 x^2=k A^2 x2=A22x^2=\frac{A^2}{2} x=A2x=\frac{A}{\sqrt{2}}
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