Home
Class 12
PHYSICS
For a planet having mass equal to mass o...

For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be

A

`11.2" km"//s`

B

`22.4" km"//s`

C

`5.6" km"//s`

D

`44.8" km"//s`

Text Solution

Verified by Experts

The correct Answer is:
B
`v_(e )=sqrt(2gR)=sqrt((2GM)/(R ))`
If R is `1//4"th"` of radius of earth then
`v._(e )=2v_(e-"earth")=2xx11.2" km"//s =22.4" km//s`.
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    MTG-WBJEE|Exercise WB JEE WORKOUT CATEGORY 2 : Single Option Correct Type|15 Videos

  • GRAVITATION

    MTG-WBJEE|Exercise WB JEE WORKOUT CATEGORY 3 : One or More than One Option Correct Type|10 Videos

  • ELECTROSTATICS

    MTG-WBJEE|Exercise (WB JEE Previous Years Questions ) CATEGORY 3 : One or More than One Opion correct Type|4 Videos

  • HEAT AND THERMAL PHYSICS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS|15 Videos

Similar Questions

Explore conceptually related problems

A planet has mass equal to mass of the earth but radius one fourth of radius of the earth . Then escape velocity at the surface of this planet will be

The escape velocity for the earth is 11.2 km / sec . The mass of another planet is 100 times that of the earth and its radius is 4 times that of the earth. The escape velocity for this planet will be

If the mass of a Planet is eight times the mass of the earth and its radius is twice the radius of the earth, what will be the escape velocity for that planet ?

The mass of (an imaginary) planet is four times that of the earth and its radius is double the radius of the earth. The escape velocity of a body from the earth is 11.2xx10^(3)m//s . Find the escape velocity of a body from the planet.

A planet has a mass 120 times that of earth and radius is 5 times the radius of earth. What is the escape velocity at this planet if the escape velocity at earth's surface is 11.2 km s^(-1) .

The mass of a planet is four times that of the earth and its radius is double the radius of earth . The escape velocity of a body from the earth is 11.2xx 10^(3) m/s. Find the escape velocity of a body from the plant .

If acceleration due to gravity on the surface of a planet is two times that on surface of earth and its radius is double that of earth. Then escape velocity from the surface of that planet in comparison to earth will be

The mass of a planet is six times that of the earth. The radius of the planet is twice that of the earth. It's the escape velocity from the earth is v , then the escape velocity from the planet is: