Home
Class 12
PHYSICS
Two bodies, each of mass M, are kept fix...

Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their centres, perpendicular to the line. The gravitational constant is G. The correct statement(s) is (are)

A

The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is `4sqrt((GM)/(L))`

B

The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is `2sqrt((GM)/(L))`

C

The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is `sqrt((2GM)/(L))`

D

The energy of the mass m remains constant.

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    RESONANCE ENGLISH|Exercise EXERCISE-3 PART-2|11 Videos

  • GRAVITATION

    RESONANCE ENGLISH|Exercise HIGH LEVEL PROBLEMS|16 Videos

  • GRAVITATION

    RESONANCE ENGLISH|Exercise EXERCISE-2 PART-4|9 Videos

  • GEOMATRICAL OPTICS

    RESONANCE ENGLISH|Exercise Advance level Problems|35 Videos

  • NUCLEAR PHYSICS

    RESONANCE ENGLISH|Exercise Advanced level solutions|16 Videos

Similar Questions

Explore conceptually related problems

Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their cehntres, perpendicualr to the line. The gravitational constant is G. The correct statement (s) is (are)

Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their cehntres, perpendicualr to the line. The gravitational constant is G. The correct statement (s) is (are)

Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the midpoint of the line joining the centres of the spheres is

Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the midpoint of the line joining the centres of the spheres is

Two identical spheres each of mass M and Radius R are separated by a distance 10R. The gravitational force on mass m placed at the midpoint of the line joining the centres of the spheres is

Two bodies of masses 10 kg and 100 kg are seperated by a distance of 2 m. The gravitational potential at the mid-point of the line joining the two bodies is:

Two bodies of mass 10^(2) kg and 10^(3) kg are lying 1 m apart . The gravitational potential at the mid-point of the line joining them is

Two bodies of mass M and 4M kept at a distance y apart. Where should a small particle of mass m be placed from M so that the net gravitational force on it is zero

Two particles of masses 'm' and '9m' are separated by a distance 'r'. At a point on the line joining them the gravitational field is zero. The gravitational potential at that point is (G = Universal constant of gravitation)

Two particles of masses m and 2m are placed at separation L . Find the M.I. about an axis passing through the center of mass and perpendicular to the line joining the point masses.