Gravitation
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Gravitation
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25 Questions

1. 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]
2. 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]
3. 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]
4. 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]
5. The escape velocity from the surface of the earth isve .The escape velocity from the surface of a planetwhose mass and radius are three times those of theearth - will be [1995]
6. For a satellite moving in an orbit around the earth - the ratio of kinetic energy to potential energy is [2005]
7. A particle of mass M is situated at the centre of aspherical shell of same mass and radius aThegravitational potential at a point situated at a/2 distancefrom the centre - will be: [2010]
8. 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]
9. 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]
10. If the gravitational force between two objects wereproportional to 1/R(and not as 1/R 2) where R isseparation between them - then a particle in circularorbit under such a force would have its orbital speed vproportional to [1989]
11. 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]
12. A seconds pendulum is mounted in a rocketItsperiod of oscillation decreases when the rocket [1991]
13. 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]
14. 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]
15. The radii of circular orbits of two satellites A and Bof the earth - are 4Rand R - respectivelyIf the speed ofsatellite A is 3 V - then the speed of satellite B will be:[2010]
16. A satellite in force free space sweeps stationaryinterplanetary dust at a rate dM/dt = αv where M is themass and v is the velocity of the satellite and D is aconstantWhat is the deceleration of the satellite?[1994]
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 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]
19. The height at which the weight of a body becomes1/16th - its weight on the surface of earth (radius R) - is:[2012]
20. A ball is dropped from a satellite revolving aroundthe earth at a height of 120 kmThe ball will [1996]
21. 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
22. 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]
23. The density of a newly discovered planet is twicethat of earthThe acceleration due to gravity at thesurface of the planet is equal to that at the surface of theearthIf the radius of the earth is R - the radius of theplanet would be [2004]
24. The potential energy of a satellite - having mass mand rotating at a height of 6.4 × 10 6 m from the earthsurface - is [2001]
25. A satellite of mass m is orbiting around the earth ina circular orbit with a velocity vWhat will be its totalenergy? [1991]

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