Gravitation
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Gravitation
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25 Questions

1. A particle of mass M is situated at the centre ofspherical shell of mass M and radius aThe magnitude ofthe gravitational potential at a point situated at a/2distance from the centre - will be [2011M]
2. A ball is dropped from a satellite revolving aroundthe earth at a height of 120 kmThe ball will [1996]
3. A geostationary satellite is orbiting the earth at aheight of 5Rabove that surface of the earth - R being theradius of the earthThe time period of another satellitein hours at a height of 2R from the surface of the earthis: [2012
4. The radius of a planet is twice the radius of earth.Both have almost equal average mass-densitiesIf VP andVE are escape velocities of the planet and the earth - respectively - then [NEETKar2013]
5. 26Two spheres of masses m and M are situated inair and the gravitational force between them is FThespace around the masses is now filled with a liquid ofspecific gravity 3The gravitational force will now be[2003]
6. The period of revolution of planet A around theSun is 8 times that of BThe distance of A from the Sun ishow many times greater than that of B from the Sun?[1997]
7. The distance of Neptune and Saturn from the sun isnearly 1013 and 1012 meter respectivelyAssuming thatthey move in circular orbits - their periodic times will bein the ratio [1994]
8. The period of revolution of planet A around theSun is 8 times that of BThe distance of A from the Sun ishow many times greater than that of B from the Sun?[1997]
9. For a satellite escape velocity is 11 km/sIf thesatellite is launched at an angle of 60° with the vertical - then escape velocity will be [1989]
10. Two satellites of earth - S 1 and S2 are moving in thesame orbitThe mass of S 1 is four times the mass of S 2.Which one of the following statements is true? [2007]
11. A roller coaster is designed such that ridersexperience -œweightlesness- as they go round the top of ahill whose radius of curvature is 20 mThe speed of thecar at the top of the hill is between: [2008]
12. The acceleration due to gravity on the planet A is 9times the acceleration due to gravity on planet BA manjumps to a height of 2m on the surface of AWhat is theheight of jump by the same person on the planet B?[2003]
13. The largest and the shortest distance of the earthfrom the sun are r 1 and r2Its distance from the sunwhen it is at perpendicular to the major-axis of the orbitdrawn from the sun is [1988]
14. A particle of mass M is situated at the centre ofspherical shell of mass M and radius aThe magnitude ofthe gravitational potential at a point situated at a/2distance from the centre - will be [2011M]
15. The escape velocity from earth is 11.2 km/sIf abody is to be projected in a direction making an angle45° to the vertical - then the escape velocity is [1993]
16. The Earth is assumed to be a sphere of radius RAplatform is arranged at a height R from the surface of theEarthThe escape velocity of a body from this platform isf v - where v is its escape velocity from the surface of theEarthThe value of f is [2006]
17. The Earth is assumed to be a sphere of radius RAplatform is arranged at a height R from the surface of theEarthThe escape velocity of a body from this platform isf v - where v is its escape velocity from the surface of theEarthThe value of f is [2006]
18. The acceleration due to gravity on the planet A is 9times the acceleration due to gravity on planet BA manjumps to a height of 2m on the surface of AWhat is theheight of jump by the same person on the planet B?[2003]
19. The potential energy of a satellite - having mass mand rotating at a height of 6.4 × 10 6 m from the earthsurface - is [2001]
20. A body weighs 72 N on the surface of the earth.What is the gravitational force on it due to earth at aheight equal to half the radius of the earth from thesurface? [2000]
21. The radius of a planet is twice the radius of earth.Both have almost equal average mass-densitiesIf VP andVE are escape velocities of the planet and the earth - respectively - then [NEETKar2013]
22. The height at which the weight of a body becomes1/16th - its weight on the surface of earth (radius R) - is:[2012]
23. The largest and the shortest distance of the earthfrom the sun are r 1 and r2Its distance from the sunwhen it is at perpendicular to the major-axis of the orbitdrawn from the sun is [1988]
24. The distance of Neptune and Saturn from the sun isnearly 1013 and 1012 meter respectivelyAssuming thatthey move in circular orbits - their periodic times will bein the ratio [1994]
25. A seconds pendulum is mounted in a rocketItsperiod of oscillation decreases when the rocket [1991]