PYQSide ExamsMy practice

Gravitation · Question 52

AIPMT 2007MCQEasy📈 Topic in 12% papers+4−1
1

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?

  1. The potential energies of earth and satellite in the two cases are equal.
  2. S1 and S2 are moving with the same speed.
  3. The kinetic energies of the two satellites are equal.
  4. The time period of S1 is four times that of S2.

Answer

(2) S1 and S2 are moving with the same speed.

Solution

Orbital speed: vo = GMr — independent of the satellite's mass ⇒ same for S1 and S2.

Time period: T = 2 rvo — also independent of mass ⇒ equal, so (4) is wrong.

PE = - GMmr and KE = GMm2r ∝ m ⇒ for S1 they are 4 times those of S2, so (1) and (3) are wrong.

Answer: (2)

AIPMT 2007

Keep practising — Gravitation

2

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 value of f is

  1. 1/2
  2. 2
  3. 1/ 2
  4. 1/3
AIPMT 2006
3

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', then

  1. g' = g/9
  2. g' = 27g
  3. g' = 9g
  4. g' = 3g
AIPMT 2005
4

For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is

  1. 1/2
  2. 1/ 2
  3. 2
  4. 2
AIPMT 2005
5

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 be

  1. 2R
  2. 4R
  3. 14R
  4. 12R
AIPMT 2004
6

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 be

  1. 3F
  2. F
  3. F/3
  4. F/9
AIPMT 2003
7

The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface of A. What is the height of jump by the same person on the planet B?

  1. (2/9) m
  2. 18 m
  3. 6 m
  4. (2/3) m
AIPMT 2003
8

A body of mass m is placed on earth's surface which is taken from earth surface to a height of h = 3R, then change in gravitational potential energy is

  1. mgR4
  2. 23mgR
  3. 34mgR
  4. mgR2
AIPMT 2003
9

With what velocity should a particle be projected so that its height becomes equal to radius of earth?

  1. ( GMR )1/2
  2. ( 8GMR )1/2
  3. ( 2GMR )1/2
  4. ( 4GMR )1/2
AIPMT 2001
10

For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be

  1. 11.2 km/s
  2. 22.4 km/s
  3. 5.6 km/s
  4. 44.8 km/s
AIPMT 2000
11

A body of weight 72 N moves from the surface of earth at a height half of the radius of earth, then gravitational force exerted on it will be

  1. 36 N
  2. 32 N
  3. 144 N
  4. 50 N
AIPMT 2000

All Gravitation PYQs →

PDFDownload Gravitation PYQs as PDF Free, with answer key and a QR code to every solution — print it or study offline⬇
All NEET Physics chapters
Class 11Units and MeasurementsMotion in a Straight LineMotion in a PlaneLaws of MotionWork, Energy and PowerSystem of Particles and Rotational MotionGravitationMechanical Properties of SolidsMechanical Properties of FluidsThermal Properties of MatterThermodynamics (Physics)Kinetic TheoryOscillationsWaves
Class 12Electric Charges and FieldsElectrostatic Potential and CapacitanceCurrent ElectricityMoving Charges and MagnetismMagnetism and MatterElectromagnetic InductionAlternating CurrentElectromagnetic WavesRay Optics and Optical InstrumentsWave OpticsDual Nature of Radiation and MatterAtomsNucleiSemiconductor ElectronicsExperimental Skills (Physics)