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Statement I: The smaller the orbit of a ...

Statement I: The smaller the orbit of a planet around the Sun, the shorter is the time it takes to complete.
Statement II: According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from Sun.

A

Statement I is True, Statement II is True: Statement II is a correct explanation for Statement I.

B

Statement I is True, Statement II is True: Statement II is Not a correct explanation for Statement I.

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is True.

Text Solution

Verified by Experts

The correct Answer is:
A
According to Kepler's third law of motion, the square of the time period of a planet about the Sun is proportional to the cube of the semi major axis of the ellipse or mean distance of the plane from the Sun. i.e., `T^(2)propa^(3)`. When a is smaller, the time period is shorter.
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