# 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 |
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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 |
60%
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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 weighs $$63$$ 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. $$98$$ N
2. $$35$$ N
3. $$63$$ N
4. $$28$$ N

Subtopic:  Acceleration due to Gravity |
73%
From NCERT
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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:  Gravitational Potential Energy | Escape velocity |
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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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