If the gravitational force between two objects were proportional to \(\frac{1}{R}\) (and not as 1/R2) where \(R\) is the separation between them, then a particle in circular orbit under such a force would have its orbital speed v proportional to:

1. 1/R2                        

2. R

3. R1                             

4. \(1/R\)

Subtopic:  Orbital velocity |
 79%
From NCERT
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When a satellite going round the earth in a circular orbit of radius r and speed v loses some of its energy, then r and v change as 

(1) r and v both will increase

(2) r and v both will decrease

(3) r will decrease and v will increase

(4) r will decrease and v will decrease

Subtopic:  Gravitational Potential Energy |
 62%
From NCERT
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Which of the following quantities does not depend upon the orbital radius of the satellite ?

(1) TR                            

(2) T2R

(3) T2R2                           

(4) T2R3

Subtopic:  Kepler's Laws |
 81%
From NCERT
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A satellite moves round the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in 8 days. The radius of the orbit of the second satellite is -

(1) 8 R                           

(2) 4R

(3) 2R                             

(4) R

Subtopic:  Kepler's Laws |
 78%
From NCERT
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A satellite moves in a circle around the earth. The radius of this circle is equal to one half of the radius of the moon’s orbit. The satellite completes one revolution in

(1) 12 lunar month                   

(2) 23 lunar month

(3) 2-32 lunar month               

(4) 232 lunar month

Subtopic:  Kepler's Laws |
 69%
From NCERT
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If the acceleration due to gravity at a height 1 km above the earth is similar to a depth d below the surface of the earth, then: 

1. d=0.5 km

2. d=1 km

3. d=1.5 km

4. d=2 km

Subtopic:  Acceleration due to Gravity |
 73%
From NCERT
NEET - 2017
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Two astronauts are floating in a gravitational free space after having lost contact with their spaceship. The two will:

1. keep floating at the same distance between them 
2. move towards each other 
3. move away from each other
4. will become stationary 

Subtopic:  Satellite |
 60%
From NCERT
NEET - 2017
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Starting from the centre of the earth having radius R, the variation of g (acceleration  due to gravity) is shown by:

(a)  

(b) 

(c) 

(d) 

Subtopic:  Acceleration due to Gravity |
 81%
From NCERT
NEET - 2016
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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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