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Both the earth and the moon are subject to gravitational force of the sun. As observed from the sun, the orbit of the moon:
| 1. | will be elliptical. |
| 2. | will not be strictly elliptical because the total gravitational force on it is not central. |
| 3. | is not elliptical but will necessarily be a closed curve. |
| 4. | deviates considerably from being elliptical due to the influence of planets other than the earth. |
Subtopic: Kepler's Laws |
Level 3: 35%-60%
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In our solar system, the interplanetary region has chunks of matter (much smaller in size compared to planets) called asteroids. They:
| 1. | will not move around the sun, since they have very small masses compared to the sun. |
| 2. | will move in an irregular way because of their small masses and will drift away into outer space. |
| 3. | will move around the sun in closed orbits but not obey Kepler’s laws. |
| 4. | will move in orbits like planets and obey Kepler’s laws. |
Subtopic: Kepler's Laws |
52%
Level 3: 35%-60%
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If the law of gravitation, instead of being inverse square law, becomes an inverse cube law:
| (a) | planets will not have elliptic orbits. |
| (b) | circular orbits of planets are not possible. |
| (c) | the projectile motion of a stone thrown by hand on the surface of the earth will be approximately parabolic. |
| (d) | there will be no gravitational force inside a spherical shell of uniform density. |
Choose the correct alternatives:
1. (a), (d)
2. (a), (c)
3. (c), (d)
4. (b), (d)
Subtopic: Kepler's Laws |
52%
Level 3: 35%-60%
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If the sun and the planets carried huge amounts of opposite charges, then:
| a. | all three of Kepler’s laws would still be valid |
| b. | only the third law would be valid |
| c. | the second law would not change |
| d. | the first law would still be valid |
Which of the above statements is/are correct?
1. (a), (b), (c)
2. (a), (d)
3. (b), (c), (d)
4. (a), (c), (d)
Subtopic: Kepler's Laws |
56%
Level 3: 35%-60%
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Supposing Newton's law of gravitation for gravitation forces \(F_1\) and \(F_2\) between two masses \(m_1\) and \(m_2\) at positions \(r_1\) and \(r_2\) read \(\mathbf{F}_{\mathbf{1}}=-\mathbf{F}_2=-\frac{\mathbf{r}_{12}}{r_{12}^3} G M_o^2\left(\frac{m_1 m_2}{M_0^2}\right)^n\) where \(M_o\) is a constant of dimension of mass \(r_{12} = r_1-r_2\) and n is a number. In such a case,
a. the acceleration due to gravity on earth will be different for different objects.
b. none of the three laws of Kepler will be valid.
c. only the third law will become invalid.
d. for n negative, an object lighter than water will sink in water.
Choose the correct option:
1. (a), (d)
2. (b), (c), (d)
3. (a), (c), (d)
4. (b), (c)
a. the acceleration due to gravity on earth will be different for different objects.
b. none of the three laws of Kepler will be valid.
c. only the third law will become invalid.
d. for n negative, an object lighter than water will sink in water.
Choose the correct option:
1. (a), (d)
2. (b), (c), (d)
3. (a), (c), (d)
4. (b), (c)
Subtopic: Kepler's Laws |
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Level 2: 60%+
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