At what height from the surface of earth the gravitation potential and the value of g are -5.4×107J kg-2 and 6.0 ms-2 respectively? (Take, the radius of earth as 6400 km.)

(a) 1600 km             (b) 1400 km 

(c) 2000 km             (d) 2600 km

Subtopic:  Gravitational Potential |
 54%
NEET - 2016
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Kepler's third law states that the square of the period of revolution (T) of a planet around the sun, is proportional to the third power of the average distance r between the sun and planet i.e. T2=Kr3, here K is constant. If the masses of the sun and planet are M and m respectively, then as per Newton's law of gravitation, the force of attraction between them is F=GMm/r2, here G is gravitational constant. The relation between G and K is described as

(1) GK=4π

(2) GMK=4π2
 

(3) K=G
 

(4) K=l/G
 

Subtopic:  Newton's Law of Gravitation |
 79%
From NCERT
NEET - 2015
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Two spherical bodies of masses M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is

(1)2.5 R

(2)4.5 R

(3)7.5 R

(4)1.5 R

Subtopic:  Newton's Law of Gravitation |
 62%
From NCERT
NEET - 2015
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A remote sensing satellite of the earth revolves in a circular orbit at a height of 0.25 x 106 m above the surface of the earth. If the earth’s radius is 6.38x106 m and g=9.8ms-1, then the orbital speed of the satellite is:

1.  7.76 kms-1

2.  8.56 kms-1

3.  9.13 kms-1

4.  6.67 kms-1

Subtopic:  Orbital velocity |
 50%
From NCERT
NEET - 2015
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A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small as compared to the mass of the earth. Then,

(1) the angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant

(2) the total mechanical energy of S varies periodically with time

(3) the linear momentum of S remains constant in magnitude

(4) the acceleration of S is always directed towards the centre of the earth

Subtopic:  Satellite |
 56%
From NCERT
NEET - 2015
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A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius, would earth (mass=5.98X 1024 kg) have to be compressed to be a black hole?

(1) 10-9

(2) 10-6 m

(3) 10-2 m

(4) 100 m

Subtopic:  Escape velocity |
 57%
From NCERT
NEET - 2014
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Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by 

1. 2.
3. 4.
Subtopic:  Gravitational Field |
NEET - 2014
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A body of mass m is taken from the earth’s surface to the height equal to twice the radius (R) of the earth. The change in potential energy of the body will be
\(1.~2mgR\)
\(2.~\frac{2}{3}mgR\)
\(3.~3mgR\)
\(4.~\frac{1}{3}mgR\)




 

Subtopic:  Gravitational Potential Energy |
 66%
From NCERT
NEET - 2013
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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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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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