Question:
The figure shows the revolution of the planet (P) around the sun (S) in an elliptical orbit. Which of the following statements is true regarding time taken?
The figure shows the revolution of the planet (P) around the sun (S) in an elliptical orbit. Which of the following statements is true regarding time taken?
Show Hint
Planets move faster when closer to the Sun (perihelion) and slower when farther away (aphelion).
Updated On: Jun 10, 2026
- Time taken by the planet to travel BAD is less than that for DCB
- Time taken by the planet to travel BAD is greater than that for DCB
- Time taken by the planet to travel ADC is less than that for CBA
- Time taken by the planet to travel ADC is greater than that for CBA
Show Solution
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Kepler’s Second Law of Planetary Motion states that a line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
Step 2: Analysis
The area swept by the planet depends on the distance from the Sun. BAD represents the path farther from the Sun (aphelion side), where the planet moves slower, thus taking more time to sweep an equivalent area compared to the closer DCB path (perihelion side) where it moves faster.
Step 3: Conclusion
The time taken to travel BAD is greater than that for DCB due to Kepler's laws.
Final Answer: (B)
Kepler’s Second Law of Planetary Motion states that a line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
Step 2: Analysis
The area swept by the planet depends on the distance from the Sun. BAD represents the path farther from the Sun (aphelion side), where the planet moves slower, thus taking more time to sweep an equivalent area compared to the closer DCB path (perihelion side) where it moves faster.
Step 3: Conclusion
The time taken to travel BAD is greater than that for DCB due to Kepler's laws.
Final Answer: (B)
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