If the mass of the sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following statement will not be correct?

1. Rain drops would drop faster.
2. Walking on the ground would become more difficult.
3. Time period of a simple pendulum on the earth would decrease.
4. 'g' on earth would not change.
Subtopic:  Acceleration due to Gravity |
 73%
From NCERT
NEET - 2018
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The kinetic energies of a planet in an elliptical orbit around the Sun, at positions \(A,B~\text{and}~C\) are \(K_A, K_B~\text{and}~K_C\) respectively. \(AC\) is the major axis and \(SB\) is perpendicular to \(AC\) at the position of the Sun \(S\), as shown in the figure. Then:
                 

1. \(K_A <K_B< K_C\) 2. \(K_A >K_B> K_C\)
3. \(K_B <K_A< K_C\) 4. \(K_B >K_A> K_C\)
Subtopic:  Kepler's Laws |
 75%
From NCERT
NEET - 2018
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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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Starting from the centre of the earth, having radius \(R,\) the variation of \(g\) (acceleration due to gravity) is shown by:

1.     2.
3.    4.    

Subtopic:  Acceleration due to Gravity |
 85%
From NCERT
NEET - 2016
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A satellite of mass \(m\) is orbiting the earth (of radius \(R\)) at a height \(h\) from its surface. What is the total energy of the satellite in terms of \(g_0?\)
(\(g_0\) is the value of acceleration due to gravity at the earth's surface)
1. \(\frac{mg_0R^2}{2(R+h)}\)
2. \(-\frac{mg_0R^2}{2(R+h)}\)
3. \(\frac{2mg_0R^2}{(R+h)}\)
4. \(-\frac{2mg_0R^2}{(R+h)}\)

Subtopic:  Gravitational Potential Energy |
 77%
From NCERT
NEET - 2016
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At what height from the surface of the earth, the gravitation potential and the value of \(g\) are: \(-5.4 \times 10^7\) Jkg-2 and \(6.0\) ms-2 respectively? (Take, the radius of earth as \(6400\) km.)
1. \(1600\) km
2. \(1400\) km
3. \(2000\) km
4. \(2600\) km
Subtopic:  Gravitational Potential |
 66%
From NCERT
NEET - 2016
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The ratio of escape velocity at earth \((v_e)\) to the escape velocity at a planet \((v_p)\) whose radius and mean density are twice that of the earth is:
1. \(1:2\sqrt{2}\)
2. \(1:4\)
3. \(1:\sqrt{2}\)
4. \(1:2\)
Subtopic:  Escape velocity |
 69%
From NCERT
NEET - 2016
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