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The value of the escape velocity from th...

The value of the escape velocity from the earth is `v_e`. If the radius of a planet is 4 times that of the earth and its density is 9 times the density of the earth, then the value of the escape velocity from that planet will be

A

`6 v_e`

B

`12 v_e`

C

`20 v_e`

D

`36 v_e`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The mass of a planet is 4 times the mass of the earth and its radius is 2 times the radius of the earth. The acceleration due to gravity on that planet is

    A
    `9.8 m*s^(-2)`
    B
    `19.6 m*s^(-2)`
    C
    `4.9 m*s^(-2)`
    D
    `39.2 m*s^(-2)`

  • The escape velocity from the earth is v_e . If both the mass and the radius of a planet are twice that of the earth, then the escape velocity from that planet will be

    A
    `v_e`
    B
    `2v_e`
    C
    `4v_e`
    D
    `16 v_e`

  • The acceleration due to gravity on the surface of the earth is 9.8 m*s^(-2) . The size of a planet is the same as that of the earth, but its density is twice the density of the earth. The value of the acceleration due to gravity on that planet is

    A
    `19.6 m*s^(-2)`
    B
    `9.8 m*s^(-2)`
    C
    `4.9 m*s^(-2)`
    D
    `2.45 m*s^(-2)`

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