हिंदी

The total energy of the body executing S.H.M. is E. The kinetic energy of the body, when the displacement is half of the amplitude is ______.

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प्रश्न

The total energy of the body executing S.H.M. is E. The kinetic energy of the body, when the displacement is half of the amplitude is ______.

विकल्प

  • `"E"/2`

  • `"E"/4`

  • `(3"E")/4`

  • `sqrt3/4` E

MCQ
रिक्त स्थान भरें
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उत्तर

The total energy of the body executing S.H.M. is E. The kinetic energy of the body, when the displacement is half of the amplitude is `underlinebb((3"E")/4)`.

Explanation:

E = `1/2"m"omega^2"A"^2 ⇒ "K" = 1/2"m"omega^2("A"^2 - "A"^2/4)`

= `3/4(1/2"m"omega^2"A"^2) = 3/4"E"`

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Amplitude (A), Period (T) and Frequency (N) of S.H.M.
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