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GRAVITATION QUIZ-7

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 g is same at a height h and at a depth d, then

  •  R=2d
  •  d=2h
  •  h=d
  •  None
Solution


 

Q2.Suppose the gravitational force varies inversely as the n^th power of the distance. Then, the time period of a planet in a circular orbit of radius R around the Sun will be proportional to
  •  Rn
  •  R(n+1)/2
  •  R(n-1)/2
  •  R-n
Solution




Q3.Two satellites A and B of the same mass are revolving around the earth in the concentric circular orbits such that the distance of satellite B from the centre of the earth is thrice as compared to the distance of the satellite A from the centre of the earth. The ratio of the centripetal force acting on B as compared to that on A is

  •  1/3
  •  3
  •  1/9
  •  1/√3
Solution





Q4.A planet is revolving in an elliptical orbit around the Sun. Its closest distance from the Sun is rmin and the farthest distance is rmax. If the velocity of the planet at the distance of the closest approach is v1 and that at the farthest distance from the Sun is v2, then v1/v2
  •  rmax/rmin
  •  rmin/rmax
  •  (rmin+rmax)/(rmax-rmin)
  •  None
Solution




Q5.A simple pendulum has a time period T1 when on the earth's surface and T2 when taken to a height R above the earth's surface, where R is the radius of the earth. The value of T2/T1 is
  •  1
  •  √2
  •  4
  •  2
Solution






Q6.A diameter tunnel is dug across the earth. A ball is dropped into the tunnel from one side. The velocity of the ball when it reaches the centre of the earth is [Given: gravitational potential at the centre of earth =-3/(2 GM/R)]
  •  √R
  •  √gR
  •  √2.5gR
  •  √(7.1 gR)
Solution





Q7.In order to shift a body of mass m from a circular orbit of radius 3R to a higher orbit of rdaius 5R around the earth, the work done is
  •  3GMm/5R
  •  GMm/2R
  •  2GMm/15R
  •  GMm/5R
Solution




Q8.In problem 83, what is the gravitational potential at any point on the circle x2+z2=6?
  •  -GM/6
  •  -GM/(64√10)
  •  -GM/2 [1/3 - 1/(32√10)]
  •  -GM/2 [1/3 + 1/(32√10)]
Solution




Q9.A cavity of radius R/2 is made inside a solid sphere of radius R. The centre of the cavity is located at a distance R/2 from the centre of the sphere. The gravitational force on a particle of mass 'm' at a distance R/2 from the centre of the sphere on the line joining both the centres of the sphere and the cavity is (opposite to the centre of the cavity) [Here g=(GM)/R2, where M is the mass of the sphere]
  •  mg/2
  •  3mg/8
  •  mg/16
  •  None of these
Solution







Q10.In problem 80, if x is the distance from the common centre, then what is the gravitational potential at a point for which r x< R?
  •  -G[M/x + m/r]
  •  -G[M/x - m/r]
  •  -G[M/R + m/x]
  • -G[M/R - m/x]
Solution





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Gravitation - Quiz 7
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