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If v(e) is escape velocity and v(0), is ...

If `v_(e)` is escape velocity and `v_(0)`, is orbital velocity of satellite for orbit close to the earth's surface. Then are related by

A

`v_(e)=v_(o)`

B

`sqrt(2)v_(o)=v_(e)`

C

`v_(e)=v_(o)//sqrt(2)`

D

`v_(e)` and `v_(o)` are not related

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If V_e is the escape velocity and V_0 is orbital velocity of a satellite for orbit close to the earth's surface. Then these are related by

    A
    `V_0 = sqrt(2) V_e,`
    B
    `V_0 = V_e`,
    C
    `V_e = (V_0)/(2)`
    D
    `V_e = sqrt(2)V_0`

  • The orbital velocity of a planet revolving close to earth's surface is

    A
    `sqrt(2gR)`
    B
    `sqrt(gR)`
    C
    `sqrt((2g)/R)`
    D
    `sqrt(g/R)`

  • If a satellite orbits as close to the earth's surface as possible,

    A
    its speed is maximum
    B
    time period of its rotation is minimum
    C
    the total energy of the earth plus satellite system is minimum
    D
    the total energy of the earth plus satellite system is maximum

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