Home
Class 11
PHYSICS
The escape Velocity from the earth is 11...

The escape Velocity from the earth is `11.2 Km//s`. The escape Velocity from a planet having twice the radius and the same mean density as the earth, is :

A

`11.2 km//s`

B

`15.00 km//s`

C

`22.4 km//s`

D

`5.8 km//s`

Text Solution

Verified by Experts

The correct Answer is:
C
Escape velocity, `v_(e)=sqrt((2GM_(E))/(R_(E)))`
Also since earth is assumed spherical in shape its mass is given by
`M=4/3 pi R^(3)xxrho`
`:. v_(e)=sqrt((2G)/Rxx4/3piR^(3)rho)=Rsqrt(8/3 pi G rho)`
` :. v_(e) prop R` if `rho`=constant
Since the planet having double radius in comparison to earth, therefore the escape velocity becomes twice, i.e. `22km//s `
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAVITATION

    A2Z|Exercise Chapter Test|29 Videos

  • GRAVITATION

    A2Z|Exercise NEET Questions|42 Videos

  • GENERAL KINEMATICS AND MOTION IN ONE DIMENSION

    A2Z|Exercise Chapter Test|30 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

The escape velocity from the earth is 11 kms(-1) .The escape velocity from a planet having twice the radius and same mean density as that of earth is

The escape velocity from the earth is 11 km//s . The escape velocity from a planet having twice the radius and same density as that of the earth is (in km//s )

Knowledge Check

  • The escape velocity from the earth is about 11 km/s. The escape velocity from a planet having twice the radius and the twice mean density as the earth, is

    A
    31 km/s
    B
    11 km/s
    C
    22 km/s
    D
    15.5 km/s

  • The escape velocity from the earth is about 11 km s^(-1). The escape velocity from a planet having twice the radius and the same mean density as the earth is

    A
    `22 kms ^(-1)`
    B
    `11 km s ^(-1)`
    C
    `5.5 km s ^(-1)`
    D
    `15.5 km s ^(-1)`

  • The escape velocity from the earth is 11 kms(-1) .The escape velocity from a planet having twice the radius and same mean density as that of earth is

    A
    ` 5.5 kms(-1)`
    B
    `11 kms (-1)`
    C
    `22 kms (-1)`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    The escape velocity form the earth is 11 kms^(-1) the esacpe velocity from a planet having twice the radius and the same mean denisty as the earth would be

    The escape velocity from a planet is v_(0) . The escape velocity from a planet having twice the radius but same density will be

    The escape velocity from a planet is v_(0) The escape velocity from a planet having twice the radius but same density will be

    v_(e) and v_(p) denotes the escape velocity from the earth and another planet having twice the radius and the same mean density as the earth. Then

    The escape velocity for the earth is v_(e) . The escape velocity for a planet whose radius is four times and density is nine times that of the earth, is

    Home
    Profile