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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)
1. (a), (b), (c)
2. (a), (d)
3. (b), (c), (d)
4. (a), (c), (d)
Subtopic: Kepler's Laws |
55%
Level 3: 35%-60%
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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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The earth is an approximate sphere. If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration due to gravity:
| 1. | will be directed towards the centre but not the same everywhere. |
| 2. | will have the same value everywhere but not directed towards the centre. |
| 3. | will be the same everywhere in magnitude directed towards the centre. |
| 4. | cannot be zero at any point. |
Subtopic: Acceleration due to Gravity |
Level 4: Below 35%
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What is the depth at which the value of acceleration due to gravity becomes \(\dfrac{1}{{n}}\) times it's value at the surface of the earth? (radius of the earth = \(\mathrm{R}\))
| 1. | \(\dfrac R {n^2}\) | 2. | \(\dfrac {R~(n-1)} n\) |
| 3. | \(\dfrac {Rn} { (n-1)}\) | 4. | \(\dfrac R n\) |
Subtopic: Acceleration due to Gravity |
84%
Level 1: 80%+
NEET - 2020
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If \(v_e\) is the escape velocity and \(v_0\) is the orbital velocity of a satellite for orbit close to the earth's surface, then these are related by:
| 1. | \(v_o=v_e\) | 2. | \(v_e=\sqrt{2v_o}\) |
| 3. | \(v_e=\sqrt{2}~v_o\) | 4. | \(v_o=\sqrt{2}~v_e\) |
Subtopic: Orbital velocity |
80%
Level 1: 80%+
AIPMT - 2012
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Imagine a new planet having the same density as that of the Earth but \(3\) times bigger than the Earth in size. If the acceleration due to gravity on the surface of the earth is \(g\) and that on the surface of the new planet is \(g',\) then:
| 1. | \(g' = 3g\) | 2. | \(g' = 9g\) |
| 3. | \(g' = \frac{g}{9}\) | 4. | \(g' = 27g\) |
Subtopic: Acceleration due to Gravity |
83%
Level 1: 80%+
AIPMT - 2005
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For a planet having mass equal to the mass of the Earth but a radius equal to one-fourth of the radius of the Earth, its escape velocity will be:
| 1. | \(11.2~\text{km/s}\) | 2. | \(22.4~\text{km/s}\) |
| 3. | \(5.6~\text{km/s}\) | 4. | \(44.8~\text{km/s}\) |
Subtopic: Escape velocity |
78%
Level 2: 60%+
AIPMT - 2000
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The density of a newly discovered planet is twice that of Earth. If the acceleration due to gravity on its surface is the same as that on Earth, and the radius of Earth is \(R,\) what will be the radius of the new planet?
| 1. | \(4R\) | 2. | \(\dfrac{1}{4}R\) |
| 3. | \(\dfrac{1}{2}R\) | 4. | \(2R\) |
Subtopic: Acceleration due to Gravity |
81%
Level 1: 80%+
AIPMT - 2004
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Rohini satellite is at a height of \(500\) km and Insat-B is at a height of \(3600\) km from the surface of the earth. The relation between their orbital velocity (\(v_R,~v_i\)) is:
1. \(v_R>v_i\)
2. \(v_R<v_i\)
3. \(v_R=v_i\)
4. no specific relation
Subtopic: Orbital velocity |
78%
Level 2: 60%+
AIPMT - 1999
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For moon, its mass is \(\frac{1}{81}\) of Earth's mass and its diameter is \(\frac{1}{3.7}\) of Earth's diameter. If acceleration due to gravity at Earth's surface is \(9.8~\text{m/s}^2,\) then at the moon, its value is:
| 1. | \(2.86~\text{m/s}^2\) | 2. | \(1.65~\text{m/s}^2\) |
| 3. | \(8.65~\text{m/s}^2\) | 4. | \(5.16~\text{m/s}^2\) |
Subtopic: Acceleration due to Gravity |
73%
Level 2: 60%+
AIPMT - 1999
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