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TS EAMCET · Physics · Oscillations

A body starting at t=0 from origin and oscillates simple harmonically with a period of 4 s. After what time will its kinetic energy be 75% of its total energy

  1. A 12 s
  2. B 13 s
  3. C 14 s
  4. D 1 s
Verified Solution

Answer & Solution

Correct Answer

(B) 13 s

Step-by-step Solution

Detailed explanation

As we know, KE=12mv2=12mω2A2-x2 and TE=12mω2A2 As per question, KE=75100TE⇒12mω2A2-x2=12mω2A2⇒x=±A2 From mean position, time taken to reach half of the amplitude will be, T12=412=13 s
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