Important Questions of Gravitation for NEET Physics | Zigya

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NEET Physics : Gravitation

Multiple Choice Questions

21.

(1) Centre a gravity (CG) of a body is the point at which the weight of the body acts.

(2) Centre  of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius

(3) To evaluate the gravitational field intensity due to anybody can be considered to be concentrated at its CG.

(4) The radius of gyration of anybody rotating about an axis is the length of the perpendicular dropped from the CG of the body to the axis.

Which one of the following pairs of statements is correct?

  • (4) and (1)

  • (1) and (2)

  • (2) and (3)

  • (2) and (3)



22.

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 statement is true?

  • The time period of S1 is four times that of S2

  • The potential energies of earth and satellite in the two cases are equal 

  • S1 and S2 are moving with the same speed

  • S1 and S2 are moving with the same speed



23.

The figure shows elliptical orbit of a planet m about the sun S. The shaded are 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,

  • t1 > t2

  • t1 =4 t2

  • t1 = 2t2

  • t1 = 2t2



24.

The dependence of acceleration due to gravity g on the distance r from the centre of the earth assumed to be a sphere of radius R of uniform density is as shown in figure below



The correct figure is

  • (4) 

  • (1)

  • (2)

  • (3)



25.

A roller coaster is designed such that riders experience " weightlessness" as they go round the top of a hill whose radius of curvature is 20 m.  The speed of the car at the top of the hill is between

  • 14 m/s and 15 m/s

  • 15m/s and 16 m/s

  • 16 m/s and 17 m/s

  • 16 m/s and 17 m/s



26.

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 

  • GmM space open parentheses fraction numerator 1 over denominator straight R subscript 1 superscript 2 end fraction minus fraction numerator 1 over denominator straight R subscript 2 superscript 2 end fraction close parentheses
  • GmM space open parentheses 1 over straight R subscript 1 minus 1 over straight R subscript 2 close parentheses
  • 2 GmM space open parentheses 1 over straight R subscript 1 minus 1 over straight R subscript 2 close parentheses
  • 2 GmM space open parentheses 1 over straight R subscript 1 minus 1 over straight R subscript 2 close parentheses


27.

Two bodies, A (of mass 1 kg) and B (of mass 3 kg) are dropped from heights of 16 m and 25 m, respectively. The ratio of the time taken by them to reach the ground is

  • 5/4

  • 12/5

  • 5/12

  • 5/12



28.

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 fve, where ve is its escape velocity from the surface of the earth. The value of f is

  • square root of 2
  • fraction numerator 1 over denominator square root of 2 end fraction
  • 1 third
  • 1 third


29.

Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at a temperature  to C, the power received by a unit surface (normal to the incident rays) at a distance R from the centre of the sun is :

  • fraction numerator 4 πr squared σt to the power of 4 over denominator straight R squared end fraction
  • fraction numerator straight r squared straight sigma left parenthesis straight t plus 273 right parenthesis to the power of 4 over denominator 4 πR squared end fraction
  • fraction numerator 16 space straight pi squared straight r squared σt to the power of 4 over denominator straight R squared end fraction
  • fraction numerator 16 space straight pi squared straight r squared σt to the power of 4 over denominator straight R squared end fraction


30.

A body mass 1 kg is thrown upwards with velocity 20 ms-1. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction?  (g = 10 ms-2)

  • 20 J

  • 30 J

  • 40 J

  • 40 J



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