हिंदी

The potential energy of a particle executing S.H.M is 2.5 J, when its displacement is half of amplitude. The total energy of the particle is ______. -

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प्रश्न

The potential energy of a particle executing S.H.M is 2.5 J, when its displacement is half of amplitude. The total energy of the particle is ______.

विकल्प

  • 2.5 J

  •  10 J

  • 12 J

  • 20 J

MCQ
रिक्त स्थान भरें

उत्तर

The potential energy of a particle executing S.H.M is 2.5 J, when its displacement is half of amplitude. The total energy of the particle is 10 J.

Explanation:

P.E. = `1/2 "m"omega^2 "x"^2 = 2.5 ` J

As x = `"A"/2`

`therefore 1/2 "m"omega^2  ("A"/2)` = 2.5

`therefore 1/2 "m"omega^2 "A"^2 = 10` J

Total energy of system =  `1/2 "m"omega^2 "A"^2 = 10 ` J

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The Energy of a Particle Performing S.H.M.
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