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A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and -

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Question

A particle is released from height S from the surface of the Earth. At a certain height, its kinetic energy is three times its potential energy. The height from the surface of the earth and the speed of the particle at that instant are respectively ______.

Options

  • `"S"/4, sqrt((3"gS")/2)`

  • `"S"/4, (3"gS")/2`

  • `"S"/4, sqrt(3"gS")/2`

  • `"S"/2, sqrt(3"gS")/2`

MCQ
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Solution

A particle is released from height S from the surface of the Earth. At a certain height, its kinetic energy is three times its potential energy. The height from the surface of the earth and the speed of the particle at that instant are respectively `underline("S"/4, sqrt((3"gS")/2))`.

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