Choose the wrong option.
 

1. Inertial mass is a measure of the difficulty of accelerating a body by an external force whereas gravitational mass is relevant in determining the gravitational force on it by an external mass.
2. That the gravitational mass and inertial mass are equal is an experimental result.
3. That the acceleration due to gravity on the earth is the same for all bodies is due to the equality of gravitational mass and inertial mass.
4. Gravitational mass of a particle-like proton can depend on the presence of neighbouring heavy objects but the inertial mass cannot.

Subtopic:  Newton's Law of Gravitation |
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Particles of masses 2M, m and M are respectively at points A, B and C with AB=12(BC). The mass m is much-much smaller than M and at time t = 0, they are all at rest as given in the figure. At subsequent times before any collision takes place,

1. m will remain at rest.

2. m will move towards M.

3. m will move towards 2M.

4. m will have oscillatory motion.

Subtopic:  Newton's Law of Gravitation |
 67%
From NCERT
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The following are the given statements:
 

a. Acceleration due to gravity decreases with increasing altitude.
b. Acceleration due to gravity increases with increasing depth (assume the earth to be a sphere of uniform density).
c. Acceleration due to gravity increases with increasing latitude.
d. Acceleration due to gravity is independent of the mass of the earth.



Choose the correct alternatives:

1. (b, d)

2. (a, c)

3. (c, d)

4. (a, c, d)

Subtopic:  Acceleration due to Gravity |
 67%
From NCERT
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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%
From NCERT
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If the mass of the sun were ten times smaller and gravitational constant G were ten times larger in magnitude. Then,
 

a. walking on the ground would become more difficult.
b. the acceleration due to gravity on the earth will not change.
c. raindrops will fall much faster.
d. aeroplanes will have to travel much faster.



Choose the correct alternatives:
1. (a, b, c)

2. (a, d)

3. (b, c, d)

4. (a, c, d)

Subtopic:  Acceleration due to Gravity |
 66%
From NCERT
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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 |
 52%
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There have been suggestions that the value of the gravitational constant G becomes smaller when considered over a very large time period (in billions of years) in the future. If that happens, for our earth,
 

a. nothing will change
b. we will become hotter after billions of years
c. we will be going around but not strictly in closed orbits
d. after a sufficiently long time, we will leave the solar system


Choose the correct alternatives:

1. (a, c)

2. (a, d)

3. (c, d)

4. (a, b)

Subtopic:  Newton's Law of Gravitation |
 67%
From NCERT
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Supposing Newton’s law of gravitation for gravitation forces F1 and F2 between two masses m1 and m2 at positions r1 and r2 read

F1=-F2=-r12r123GM20m1m2M02n

where, M0 is a constant of the dimension of mass, r12=r1-r2 and n is a number. In such a case,
 

a. the acceleration due to gravity on the 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 into the water.



Choose the correct alternatives:

1. (a, b, c)

2. (a, d)

3. (b, c, d)

4. (a, c, d)

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The following are the given statements:
 

a. A polar satellite goes around the earth’s pole in the north-south direction.
b. A geostationary satellite goes around the earth in the east-west direction.
c. A geostationary satellite goes around the earth in the west-east direction.
d. A polar satellite goes around the earth in the east-west direction.



Choose the correct alternatives:

1. (a, c)

2. (a, d)

3. (b, c, d)

4. (a, c, d)

Subtopic:  Satellite |
 73%
From NCERT
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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 |
 50%
From NCERT
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