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 · Q175
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 · Q175

Gravitation question

2010 · Q175

NEETPhysicsGravitationMCQ+4 / −1
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 :
  1. A
    GMa{{GM} \over a}aGM​
  2. B
    2GMa{{2GM} \over a}a2GM​
  3. C
    3GMa{{3GM} \over a}a3GM​
  4. D
    4GMa{{4GM} \over a}a4GM​
View written solutionFree

Correct answer: C

Here, Mass of a particle = M
Mass of a spherical shell = M
Radius of a spherical shell = a
Let O be centre of a spherical shell.
Gravitational potential at point P due to particle at O is

V1=−GMa/2{V_1} = - {{GM} \over {a/2}}V1​=−a/2GM​

Gravitational potential at point P due to spherical shell is

V2=−GMa{V_2} = - {{GM} \over a}V2​=−aGM​

Hence, total gravitational potential at point P is V = V1 + V2

=−GMa/2+(−GMa)=−2GMa−GMa=−3GMa = - {{GM} \over {a/2}} + \left( { - {{GM} \over a}} \right) = - {{2GM} \over a} - {{GM} \over a} = - {{3GM} \over a}=−a/2GM​+(−aGM​)=−a2GM​−aGM​=−a3GM​

∣V∣=3GMa\left| V \right| = {{3GM} \over a}∣V∣=a3GM​

PreviousNext

More from Gravitation

  • 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
  • The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be2004 · MCQ
  • Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be2003 · MCQ