physics : class11 Orbital Area : Second Law of Kepler : Gravitation MCQ Questions and Answers
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Orbital Area
MCQ questions and answers.
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MCQ Questions
1. According to Kepler's second law, the line joining a planet and the Sun sweeps out
A.
Equal areas in equal intervals of time
B.
Equal distances in equal intervals of time
C.
Unequal areas in equal intervals of time
D.
Equal areas in unequal intervals of time
Correct Answer:
Equal areas in equal intervals of time
Explanation:
Kepler's second law states that the radius vector from the Sun to a planet sweeps out equal areas in equal intervals of time.
2. If a planet sweeps an area A in time t, its average areal velocity during this interval is
A.
At
B.
A/t
C.
t/A
D.
A + t
Correct Answer:
A/t
Explanation:
Areal velocity is defined as the area swept per unit time, so it is equal to A divided by t.
3. A planet sweeps an area of 12 square units in 3 days. What area will it sweep in 1 day, assuming Kepler's second law applies?
A.
3 square units
B.
4 square units
C.
9 square units
D.
36 square units
Correct Answer:
4 square units
Explanation:
The areal velocity is constant, so the area swept in 1 day is 12/3 = 4 square units.
4. When a planet moves closer to the Sun in its orbit, its orbital area is swept at a rate that is
A.
Greater
B.
Smaller
C.
Zero
D.
The same
Correct Answer:
The same
Explanation:
Kepler's second law says the areal velocity remains constant throughout the orbit. Therefore, the area is swept at the same rate even when the planet is closer to the Sun.
5. If a planet sweeps equal orbital areas during two time intervals, the two time intervals must be
A.
Equal
B.
One twice the other
C.
One half the other
D.
Unrelated
Correct Answer:
Equal
Explanation:
Since the areal velocity is constant, equal swept areas correspond to equal time intervals.
6. The quantity that remains constant according to Kepler's second law is the planet's
A.
Areal velocity
B.
Linear velocity
C.
Distance from the Sun
D.
Orbital radius
Correct Answer:
Areal velocity
Explanation:
Kepler's second law directly states that the area swept per unit time, called areal velocity, is constant.
7. A planet sweeps 20 square units in 5 hours. How much area will it sweep in 10 hours?
A.
10 square units
B.
20 square units
C.
40 square units
D.
100 square units
Correct Answer:
40 square units
Explanation:
The planet sweeps 20/5 = 4 square units per hour. In 10 hours, it sweeps 4 × 10 = 40 square units.
8. The orbital area mentioned in Kepler's second law is swept by the line joining the
A.
Planet and the Sun
B.
Planet and another planet
C.
Sun and a distant star
D.
Planet and the center of Earth
Correct Answer:
Planet and the Sun
Explanation:
The radius vector joining the planet to the Sun sweeps out equal areas in equal times.
9. If a planet takes 2 days to sweep an area of 6 square units, how much area will it sweep in 6 days?
A.
2 square units
B.
8 square units
C.
18 square units
D.
36 square units
Correct Answer:
18 square units
Explanation:
The areal velocity is 6/2 = 3 square units per day. In 6 days, the swept area is 3 × 6 = 18 square units.
10. Kepler's second law is also known as the law of
A.
Equal areas
B.
Equal distances
C.
Equal speeds
D.
Equal radii
Correct Answer:
Equal areas
Explanation:
Kepler's second law is called the law of equal areas because equal areas are swept in equal intervals of time.
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