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 the figure below -

                                                        

                          (1)                                                           (2)

 

                                                        

                             (3)                                                          (4)

The correct figure is

(a)  (1)                                             (b)  (3)

(c)  (2)                                              (d)  (4)

Subtopic:  Acceleration due to Gravity |
 75%
From NCERT
NEET - 2010
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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 planet to move from C to D and t2 is the time to move from A to B, then

     

(1) t1>t2

(2) t1=4t2

(3) t1=2t2

(4) t1=t2

Subtopic:  Kepler's Laws |
 67%
From NCERT
NEET - 2009
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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) GmM1R12-1R22                               

(2) GmM1R1-1R2

(3) 2GmM1R1-1R2                               

(4) 12GmM1R1-1R2

Subtopic:  Gravitational Potential Energy |
 58%
From NCERT
NEET - 2010
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A particle of mass M is situated at the centre of a spherical shell of mass M and radius a.The gravitational potential at a point situated at a/2 distance from the centre will be 

1. -3GMa                                       2. -2GMa

3. -GMa                                         4. -4GMa

Subtopic:  Gravitational Potential |
NEET - 2010
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The radii of the 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 be:

1. \(3v/4\) 2. \(6v\)
3. \(12v\) 4. \(3v/2\)
Subtopic:  Orbital velocity |
 60%
From NCERT
NEET - 2010
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A particle of mass m is thrown upwards from the surface of the earth with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth is

(1) 2GMR                                       

(2) 2GMR2

(3) 2gR2                                       

(4) 2GMR3

Subtopic:  Escape velocity |
 85%
From NCERT
NEET - 2011
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A body projected vertically from the earth reaches a height equal to earth's radius before returning to the earth. The power exerted by the gravitational force is greatest:

(1) at the instant just before the body hits the earth

(2) it remains constant all through

(3) at the instant just after the body is projected

(4) at the highest position of the body  

Subtopic:  Gravitational Potential Energy |
 56%
From NCERT
NEET - 2011
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A planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance of r2. If v1 and v2 are the linear velocities at these points respectively, then the ratio v1v2 is:

(1)  r2/r1                                   

(2)   (r2/r1)2

(3)  r1/r2                                     

(4)   (r1/r2)2

Subtopic:  Kepler's Laws |
 68%
From NCERT
NEET - 2011
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The height at which the weight of a body becomes 1/16th, its weight on the surface of the earth (radius R), is:

(1) 5R                                 

(2) 15R

(3) 3R                                 

(4) 4R

Subtopic:  Acceleration due to Gravity |
 72%
From NCERT
NEET - 2012
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Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1m, 2m,  4m, 8m, respectively from the origin. The resulting gravitational potential due to this system at the origin will be

(a)-G

(b)-8/3G

(c)-4/3G

(d)-4G

Subtopic:  Gravitational Potential |
 58%
From NCERT
NEET - 2013
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