JEE MainPhysicsGravitationNumerical+4 / −1
Suppose two planets (spherical in shape) in radii R and 2R, but mass M and 9M respectively have a centre to centre separation 8 R as shown in the figure. A satellite of mass 'm' is projected from the surface of the planet of mass 'M' directly towards the centre of the second planet. The minimum speed 'v' required for the satellite to reach the surface of the second planet is then the value of 'a' is . [Given : The two planets are fixed in their position] 
Numerical answer
More from Gravitation
- Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their mutual gravitational attraction. The angular speed of each particle is :2021 · MCQ
- The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 103 km. Find the mass of Mars. …2021 · MCQ
- The masses and radii of the earth and moon are (M1, R1) and (M2, R2) respectively. Their centres are at a distance 'r' apart. Find the minimum escape velocity for a particle of mass 'm' to be projected from the middle of these two masses :2021 · MCQ
- If RE be the radius of Earth, then the ratio between the acceleration due to gravity at a depth 'r' below and a height 'r' above the earth surface is : (Given : r < RE)2021 · MCQ
- The mass density of a spherical galaxy varies as over a large distance ‘r’ from its centre. In that region, a small star is in a circular orbit of radius R. Then the period of revolution, T depends on R as :2020 · MCQ
- The height ‘h’ at which the weight of a body will be the same as that at the same depth ‘h’ from the surface of the earth is (Radius of the earth is R and effect of the rotation of the earth is neglected)2020 · MCQ
- A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth’s radius Re . By firing rockets attached to it, its speed is instantaneously increased in the direction of its motion…2020 · MCQ
- The mass density of a planet of radius R varies with the distance r from its centre as (r) = . Then the gravitational field is maximum at :2020 · MCQ