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IIT JEE Gravitation part1

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1. If an artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of the escape velocity from the earth the height of the satellite above the surface of the earth is:




2. The time period of a simple pendulum at the centre of earth is:




3. A satellite is orbiting very close to planet. Its time period depends only upon:




4. The minimum energy required to launch a m kg satellite from earths surface in a circular orbit at an altitude of 2R where R is the radius of earth will be:




5. If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero then the satellite will:




6. Mark correct option or options.




7. A particle hanging from a massless spring stretches it by 2 cm at earths surface. How much will the same particle stretch the spring at height 2624 km from the surface of earth? (Radius of earth = 6400 km)




8. The gravitational potential difference between the surface of a planet and a point 20 m above it is 16 J/kg. Then the work done in moving a 2 kg mass by 8 m on a slope 60 degree from the horizontal is:




9. A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius 1.01R. The time period of the second satellite is larger than that of the first one by approximately:3.0%




10. Two spherical bodies the mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only then the distance covered by the smaller body just before collision is:




11. If the radius of earth decreases by 10% the mass remaining unchanged what will happen to the acceleration due to gravity?




12. Average density of the earth:




13. In the above question if the satellite is stopped suddenly in its orbit and allowed to fall freely onto the earth the speed with which it hits the surface of the earth is: (Assume g = 10 m/second square and R = 6400 km)8 km/s2 km/s6 km/s




14. How the gravitational constant will change if a brass plate is introduced between two bodies?




15. Two earths satellites are revolving in the same circular orbit round the centre of the earth. They must have the same:




16. The time period of a satellite of earth is 5 h. If the separation between the earth and the satellite is increased to 4 times the previous value the new time period will become:




17. If the radius of the earth reduces by 4% density remaining the same then the escape velocity will:




18. The time period of an earths satellite in circular orbit is independent of:




19. When a satellite going round the earth in a circular orbit of radius r and speed v loses some of its energy then r and v change as:




20. When a satellite going round the earth in a circular orbit of radius r and speed v loses some of its energy then r and v change as:




21. The time period of artificial satellite in a circular orbit of radius R is T. The radius of the orbit in which time period is 8T is:




22. In previous problem the work done by external agent is:




23. If earth were to rotate faster than its present speed the weight of an object will:




24. If the earth stops rotating about its axis the acceleration due to gravity will remain unchanged at:




25. A point mass of 10 kg is placed at the centre of earth. The weight of the point mass is:




26. A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth:




27. The escape velocity on the surface of the earth is 11.2 km/s. If mass and radius of a planet are 4 and 2 times respectively than that of earth the escape velocity from the planet will be:




28. The ratio of the energy required to raise a satellite upto a height R (radius of earth) from the surface of earth to that required to put it into orbit there is:




29. An artificial satellite of the earth releases a packet. If air resistance is neglected the point where the packet will hit will be:




30. A body is projected vertically from the surface of the Earth with a velocity equal to half of the escape velocity. Maximum height reached by the body is




31. he radius of Earth is h. If the acceleration due to gravity reduces to 1% of its value at the surface of Earth then the altitude is




32. A satellite is orbiting very close to a planet. Its time period depends only upon




33. If both the mass and radius of Earth decrease by 1% the value of acceleration due to gravity will decrease by nearly




34. A body weighs 700 g on the surface of the Earth. How much will it weigh on the surface of a planet whose mass is 1 / 7 and radius is half that of the Earth ?




35. When the body is moving up the acceleration due to gravity will be:




36. Consider the earth to be a homogeneous sphere. Scientist A goes deep down in a mine an scientist B goes high up in a balloon. The gravitational field measured by:




37. A planet has twice the density of Earth but the acceleration due to gravity on the surface is same as on the surface of Earth. Its radius in terms of the radius R of Earth is




38. If the speed of a satellite moving around a planet is increased by 41.4% it will:




39. Two identical satellite are moving around the Earth in circular orbits at heights 3R and R respectively where R is the radius of the Earth. The ratio of their kinetic energies is




40. A satellite revolving around the Earth loses some energy due to collision. What would be the effect on its velocity and distance from the centre of the Earth ?




41. If the distance between the Earth and the Sun becomes half its present value the number of days in a year would have been




42. Mass remaining constant the radius of the Earth shrinks by 1% .The acceleration due to gravity on the earths surface would




43. A planet has radius and mass both half of those of the earth then the value of g on that planet will be:




44. In case of earth:




45. Two of Jupiter s moons have orbit radii which differ by a factor of 2. Their periods differ by




46. The energy required to shift a satellite from orbital radius r to orbital radius 2r is E. What energy will be required to shift the satellite from orbital radius 2r to orbital radius 3r ?




47. Given : R = radius of Earth. What is the approximate distance of a geostationary satellite from the centre of Earth ? [Note that the satellite is above the equator.]




48. Keplers II law is a consequence of:




49. Orbital velocity of satellite revolving in a circular path close to the planet




50. If radius of Earth is 4000 miles then the linear velocity of a body at the equator is nearly.




51. The distance of two satellites P and Q from Earth are in the ratio 3 : 1. The ratio of their total energy will be




52. If the mass of a planet is 10% less than that of the Earth and the radius 20% greater than that of the Earth the acceleration due to gravity on the planet will be




53. The radius of the earth shrinks by 1%. The acceleration due to gravity on the earths surface would: (mass remaining constant)




54. The time period of a satellite in a circular orbit of radius R is T. The radius of the orbit in which time period is 8T is




55. Inside a uniform spherical shell:




56. A body weighing 20 kg on the surface of the earth is taken to a place 6000 km below the earths surface. Assuming the earths radius to be 6000 km the weight of the body at that depth is:




57. The binding energy of a system comprising of Earth and satellite is (Letters have usual meanings)