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 statements would not be correct?

 1 Raindrops 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 Acceleration due to gravity $$(g)$$  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 $$K_A K_B> K_C$$ 3 $$K_B K_A> K_C$$
Subtopic:  Kepler's Laws |
76%
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 |
74%
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 $-5.4×{10}^{7}J$ $k{g}^{-2}$ and $6.0$ $m{s}^{-2}$ 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 |
86%
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 $$6.0~\text{ms}^{-2}$$ respectively? (Take, the radius of earth as $$6400$$ km.)
1. $$1600$$ km
2. $$1400$$ km
3. $$2000$$ km
4. $$2600$$ km
Subtopic:  Gravitational Potential |
67%
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 |
70%
From NCERT
NEET - 2016
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