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The mass and diameter of a planet have t...

 The mass and diameter of a planet have twice the value of the corresponding parameters of earth. The acceleration on the surface of planet .........

A

`9.8 m//sec^2`

B

`4.9 m//sec^2`

C

`980 m//sec^2`

D

`19.6 m//sec^2`

Text Solution

Verified by Experts

The correct Answer is:
B
`implies` Acceleration of graving on the surface of earth
`g = (GM_e)/(R_e^2)`
Acceleration of gravity on the surface of planet
`g_p=(GM_e)/R_e^2` but `M_p = 2M_e ` here `R_p = 2R_e`
`:. g_p =(G(2M_e))/((2R_e^2))=(2GM_e)/(4R_1^2)=1/2(GM_e)/(R_e^2)`
`:. g_p =g/2 =(9.8)/2 m//s^2`
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Knowledge Check

  • If the mass and radius of a planet are twice the mass and radius of the earth respectively, what would be the value of gravitational acceleration the surface of that planet?

    A
    `9.8ms^(-2)`
    B
    `19.6ms^(-2)`
    C
    `4.9ms^(-2)`
    D
    `2.45ms^(-2)`

  • The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to gravity at the surface the planet is equal to that at the surface of the earth. If the radius of the earth is R , the radius of the planet would be .......

    A
    `1/2R`
    B
    2R
    C
    4R
    D
    `1/4R`

  • The radius of the earth is 4 times that of the moon and its mass is 80 times that of the moon. If the acceleration due to gravity on the surface of the earth is 10m//s^2 that on the surface of the moon will be .........

    A
    ` 1ms^(-2)`
    B
    ` 2ms^(-2)`
    C
    ` 3ms^(-2)`
    D
    ` 4ms^(-2)`

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