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Question (1)

QN0035378

For elliptical orbits, in the equation refers to

(A)
radius of orbit
(B)
major axis
(C)
semi-minor axis
(D)
semi-major axis

Correct Answer: D

Explanation:

Kepler's third law states that the square of time period of revolution of a planet around the sun is directly proportional to the cube of semi-major axis of its elliptical orbit.

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Question (2)

QN0035379

In planetary motion

(A)
the angular speed remains constant
(B)
the total angular momentum remains constant
(C)
the linear speed remains constant
(D)
neither the angular momentum nor angular speed remains constant

Correct Answer: B

Explanation:

In planetary motion, there is no external torque. Hence from the equation , if constant

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Question (3)

QN0035380

Kepler's second law may be stated as "under the influence of central force, in equal interval of time, position vector sweeps out equal

(A)
distance
(B)
area
(C)
displacement
(D)
volume

Correct Answer: B

Explanation:

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Question (4)

QN0035381

The figure shows a planet in elliptical orbit around the sun . Where is the kinetic energy of the planet maximum?

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

Angular momentum of the planet about is conserved. So, constant.

is maximum when is minimum.

So, is maximum at point . Hence K.E. is maximum at .

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Question (5)

QN0035382

A planet revolves about the sun in elliptical orbit. The areal velocity of the planet is . The least distance between planet and the sun is . Then the maximum speed of the planet in is

(A)
10
(B)
20
(C)
30
(D)
40

Correct Answer: D

Explanation:

angular momentum)

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Question (6)

QN0035383

In planetary motion the areal velocity of position vector of a planet depends on angular velocity and the distance of the planet from sun . If so, the correct relation for areal velocity is

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

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Question (7)

QN0035384

Which of the following astronomers proposed a definitive model in which the planets moved in circles around a fixed central sun?

(A)
Copernicus
(B)
Kepler
(C)
Galileo
(D)
None of these

Correct Answer: A

Explanation:

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Question (8)

QN0035385

A planet goes round the sun three times as fast as the earth. If and are the radii of orbit of the planet and the earth respectively then

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

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Question (9)

QN0035386

The maximum and minimum distances of a comet from the sun are and . If its velocity when nearest to the sun is , what will be its velocity in when it is farthest

(A)
12
(B)
60
(C)
112
(D)
6

Correct Answer: A

Explanation:

By law of conservation of angular momentum, constant

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Question (10)

QN0035387

The period of moon's rotation around the earth is nearly 29 days. If moon's mass were 2 fold its present value and all other things remain unchanged, the period of moon's rotation would be nearly

(A)
days
(B)
days
(C)
days
(D)
29 days

Correct Answer: D

Explanation:

Time period does not depend upon the mass of satellite.

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Question (1)

For elliptical orbits, in the equation refers to

Explanation:

Link:

Question (2)

In planetary motion

Explanation:

Link:

Question (3)

Kepler's second law may be stated as "under the influence of central force, in equal interval of time, position vector sweeps out equal

Explanation:

Link:

Question (4)

The figure shows a planet in elliptical orbit around the sun . Where is the kinetic energy of the planet maximum?

Explanation:

Link:

Question (5)

A planet revolves about the sun in elliptical orbit. The areal velocity of the planet is . The least distance between planet and the sun is . Then the maximum speed of the planet in is

Explanation:

Link:

Question (6)

In planetary motion the areal velocity of position vector of a planet depends on angular velocity and the distance of the planet from sun . If so, the correct relation for areal velocity is

Explanation:

Link:

Question (7)

Which of the following astronomers proposed a definitive model in which the planets moved in circles around a fixed central sun?

Explanation:

Link:

Question (8)

A planet goes round the sun three times as fast as the earth. If and are the radii of orbit of the planet and the earth respectively then

Explanation:

Link:

Question (9)

The maximum and minimum distances of a comet from the sun are and . If its velocity when nearest to the sun is , what will be its velocity in when it is farthest

Explanation:

Link:

Question (10)

The period of moon's rotation around the earth is nearly 29 days. If moon's mass were 2 fold its present value and all other things remain unchanged, the period of moon's rotation would be nearly

Explanation:

Link:

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