Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Gravitation question

2010 · Q94
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /NEET
  3. /Physics
  4. /Gravitation
  5. /2010 · Q94

Gravitation question

2010 · Q94

NEETPhysicsGravitationMCQ+4 / −1
The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R1 to another of radius R2(R2 > R1) is
  1. A
    GmM (1R12−1R22)\left( {{1 \over {R_1^2}} - {1 \over {R_2^2}}} \right)(R12​1​−R22​1​)
  2. B
    GmM (1R1−1R2)\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)(R1​1​−R2​1​)
  3. C
    2GmM (1R1−1R2)\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)(R1​1​−R2​1​)
  4. D
    12{1 \over 2}21​GmM (1R1−1R2)\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)(R1​1​−R2​1​)
View written solutionFree

Correct answer: D

Total energy of the orbiting satellite of mass m having orbital radius r is

E=−GMm2rE = - {{GMm} \over {2r}}E=−2rGMm​

where M is the mass of the planet.

Additional kinetic energy required to transfer the satellite from a circular orbit of radius R1 to another radius R2 is E2−E1

=−GMm2RE−(−GMm2R1)=−GMm2R2+GMm2R1 = - {{GMm} \over {2{R_E}}} - \left( { - {{GMm} \over {2{R_1}}}} \right) = - {{GMm} \over {2{R_2}}} + {{GMm} \over {2{R_1}}}=−2RE​GMm​−(−2R1​GMm​)=−2R2​GMm​+2R1​GMm​

=GMm2(1R1−1R2) = {{GMm} \over 2}\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)=2GMm​(R1​1​−R2​1​)

PreviousNext

More from Gravitation

  • A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 m/s. When the stone reaches the floor, the distance of the man above the floor will be2010 · MCQ
  • A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point sutuated at a/2 distance from the centre, will be :2010 · MCQ
  • The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be2010 · MCQ
  • The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If t1 is the time for the planet to move from C to D and t2 is the time to move from A to B then Includes diagram2009 · MCQ
  • Two satellites of earth, S1 and S2 are moving in the same orbit. The mass of S1 is four times the mass of S2. Which one of the following statements is true ?2007 · MCQ
  • The earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the earth. The escape velocity of a body from this platform is fv, where v is its escape velocity from the surface of the Earth. The…2006 · MCQ
  • For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is2005 · MCQ
  • Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then2005 · MCQ