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GRAVITATION QUIZ-11

Dear Readers,

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.

Gravitation is an easy to understand and a highly scoring topic. It might have a 1% weightage in the entire JEE Physics portion but do not neglect. You can practice these questions on regular basis to know what are the important points to remember at the moment when gravitation question comes.

Q1.If the radius of the earth were to shrink by one per cent, its mass remaining the same, acceleration due to gravity on the earth's surface would

  •  Decrease
  •  Remain unchanged
  •   Increase
  •  Be zero
Solution







Q2.The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is v. For a satellite orbiting at an altitude of half of the earth's radius, the orbital velocity is
  •  (3/2)v
  •  v √(3/2) 
  •  v √(2/3)
  •  (2/3)v
Solution




Q3.A body is released from a point of distance R' from the centre of earth. Its velocity at the time of striking the earth will be (R'>Re)

  •  √(2gRe )
  •  √(Re g)
  •  √(2g(R- Re))
  •  √(2gRe (1-Re/R' ) )
Solution



Q4.If three particles, each of mass M, are placed at the three corners of an equilateral triangle of side a, the forces exerted by this system on another particles of mass M placed (i) at the midpoint of a side and (ii) at the centre of the triangle are, respectively,
  •  0,(4GM2)/(3a2)
  •  (4GM2)/(3a2 ),0
  •  (3GM2)/a2 ,(GM2)/a2
  •  0,0
Solution






Q5.An artificial satellite of the earth is launched in circular orbit in the equatorial plane of the earth and the satellite is moving from west to east. With respect to a person on the equator, the satellite is completing one round trip in 24 h. Mass of the earth is M=6×1024 kg. For this situation, the orbital radius of the satellite is
  •  2.66×104 km
  •  6400 km
  •  36,000 km
  •  29,600 km
Solution




Q6.How many hours would make a day if the earth were rotating at such a high speed that the weight of a body on the equator were zero
  •  6.2h
  •  0.14h
  •  28h
  •  5.6 h
Solution





Q7.A point mass m is released from rest at a distance of 3R from the centre of a thin-walled hollow sphere of radius R and mass M as show. The hollow sphere is fixed in position and the only force on the point mass is the gravitational attraction of the hollow sphere. There is a very small hole in the hollow sphere through which the point mass falls as shown. The velocity of a point mass when it passes through point P at a distance R/2 from the centre of the sphere is
  •  √(2GM/3R)
  •  √(5GM/3R)
  •  √(25GM/24R)
  •  None of these
Solution






Q8.A system of binary stars of masses mA and mB are moving in circular orbits of radii rA and rB, respectively. If TA and TB are the time periods of masses mA and mB respectively, then
  •  TA/TB =(rA/rB )(3/2)
  •  TA>TB (if rA>rB)
  •  TA>TB (if mA>mB)
  •  TA=TB
Solution



Q9. A tunnel has been dug into a solid sphere of non-uniform mass density as shown in the figure As one moves from A to B, the magnitude of gravitational field intensity

  •  Will continuously decrease
  •  Will decrease up to the centre of the sphere and then increase
  •  May increase or decrease
  •  Will continuously increase
Solution





Q10.The distance of two planets from the Sun are 1013 and 1012m, respectively. The ratio of time periods of these two planets is
  •  1/√10
  •  100
  •  10/√10
  • √10
Solution





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Gravitation - Quiz 11
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