# Which of the following symptoms is not likely to afflict an astronaut in space? 1. swollen feet 2. swollen face 3. headache 4. orientational problem

Subtopic:  Acceleration due to Gravity |
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The gravitational intensity at the centre of a hemispherical shell of uniform mass density has the direction indicated by the arrow:

1. a, d
2. b, d
3.
c, e
4. d, e

Subtopic:  Gravitational Field |
66%
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A rocket is fired from the earth towards the sun. At what distance from the earth’s centre is the gravitational force on the rocket zero?

Given, the mass of the sun = $2×{10}^{30}$ kg, the mass of the earth =  $6×{10}^{24}$kg, and orbital radius = $1.5×{10}^{11}$ m. Neglect the effect of other planets etc.
1. 2.59 × 108 m
2. 3.10 × 108 m
3. 4.07 × 108 m
4. 2.23 × 108 m

Subtopic:  Gravitational Field |
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If the mean orbital radius of the earth around the sun is . Then the mass of the sun is approximately:
1. 3 × 1034 kg
2. 2 × 1030 kg
3. 1.5 × 1028 kg
4. 1.0 × 1035 kg

Subtopic:  Newton's Law of Gravitation |
61%
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A Saturn year is 29.5 times the earth year. How far is Saturn from the sun if the earth is  away from the sun?
1. 2.01 × 1012 m
2. 3.86 × 1012 m
3. 1.43 × 1012 m
4. 4.19 × 1012 m

Subtopic:  Kepler's Laws |
54%
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A body weights $$63$$ N on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth?
1. $$98~\text N$$
2. $$35~\text N$$
3. $$63~\text N$$
4. $$28~\text N$$

Subtopic:  Acceleration due to Gravity |
74%
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Assuming the earth to be a sphere of uniform mass density, how much would a body weigh halfway down to the centre of the earth if it weighed $$250$$ N on the surface?

 1 $$250$$ N 2 $$125$$ N 3 $$175$$ N 4 $$145$$ N
Subtopic:  Acceleration due to Gravity |
83%
From NCERT
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A rocket is fired vertically with a speed of $$5$$ km/s from the earth’s surface. How far from the earth does the rocket go before returning to the earth?
1. $$8\times10^6$$ m
2. $$1.6\times10^6$$ m
3. $$6.4\times10^6$$ m
4. $$12\times10^6$$ m

Subtopic:  Gravitational Potential Energy |
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The escape speed of a projectile on the earth’s surface is $$11.2$$ km/s. A body is projected out with thrice this speed. What is the speed of the body far away from the earth?  (Ignore the presence of the sun and other planets.)
1. $$32.7$$ km/s

2. $$11.2$$ km/s
3. $$31.7$$ km/s

4. $$21.2$$ km/s

Subtopic:  Escape velocity |
52%
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A satellite orbits the earth at a height of 400 km above the surface. How much energy must be expended to rocket the satellite out of the earth’s gravitational influence? (Mass of the satellite = 200 kg; mass of the earth = 6.0×${10}^{24}$ kg, radius of the earth = 6.4 × ${10}^{6}$ m, G = 6.67 × ${10}^{-11}$ )

1. 7.5 × 109 J
2. 4.7 × 109 J
3. 4.4 × 109 J
4. 5.9 × 109 J

Subtopic:  Satellite |
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