Home
Class 12
PHYSICS
v(e )andv (p) denote the escape velociti...

`v_(e )andv _(p)` denote the escape velocities from the earth and the another planet having twice the radius and the same mean density as that of the earth. Then

A

`v_(e)=v_(rho)//2`

B

`v_(e)=v_(rho)`

C

`v_(e)=2v_(rho)`

D

`v_(e)=(v_(rho))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Escape velocity `v_(e)=sqrt((2GM)/(R))`
`=sqrt((2G)/(R))xx((4)/(3)piR^(3))rho=sqrt((Grho))/(3).R`
`v_(e)propR`
`rArr(v_(e))/(v_(p))=(R)/(2R)=(1)/(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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 which of the following is (are) wrong ?

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 :

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 )

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 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