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Assuming the radius of the earth to be 6...

Assuming the radius of the earth to be `6.38 xx 10^(8) cm`, the gravitational constant to be `6.67 xx 10^(-8) cm^(3) g^(-1) s^(-2)`, acceleration due to gravity on the surface to be `980 cm / s^(2)`, find the mean density (in `(g) / (cm)^(3)` ) of the earth.

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Knowledge Check

  • The value of acceleration due to gravity 'g' on the surface of the moon with radius 1/2 that of the earth and same mean density as that of the earth

    A
    g/4
    B
    g/2
    C
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    D
    8 g
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    A
    `4pi G//3gR`
    B
    `3pi R//4gG`
    C
    `3g//4pi RG`
    D
    `pi Rg//12G`
  • If R is the radius of the earth and g the acceleration due to gravity on the earth's surface, the mean density of the earth is

    A
    `(4piG)/(3gR)`
    B
    `(3piR)/(4gG)`
    C
    `(3g)/(4piRG)`
    D
    `(piR)/(12G)`
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