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A particle is released from height S fro...

A particle is released from height S from the surface of the earth. At a certain height its KE is three times its PE. The height from the surface of earth and the speed of the particle at that instant are resp.

A

`S/2, sqrt(3gS)/2`

B

`S/4, sqrt((3gS)/2)`

C

`S/4, (3gS)/2`

D

`S/4, sqrt(3gS)/2`

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Knowledge Check

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

    A
    `S/4, (3gS)/(2)`
    B
    `S/4 (sqrt(3gS))/S`
    C
    `S/2 (sqrt(3gS))/S`
    D
    `S/4 (sqrt(3gS))/S`

  • The height from the surface of earth and electron density of D layer of earth's atmosphere are

    A
    `65 km , 10^(9) m^(-3)`
    B
    `100 km , 10^(9) m^(-3)`
    C
    `180 km , 10^(11) m^(-3)`
    D
    none of these

  • A particle is released from a height h. At a certain height, its kinetic energy is two times its potential energy. Height and speed of the particle at that instant are

    A
    `h/3 sqrt((2gh)/(3))`
    B
    `h/3 2sqrt((gh)/(3))`
    C
    `(2h)/3 sqrt((2gh)/(3))`
    D
    `h/3 sqrt(2gh)`

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