Home Physics Gravitation Kepler’s laws of Planetary Motion Suppose radius of the moon's orbit around th…
Physics Gravitation Kepler’s laws of Planetary Motion MCQ (Single Correct)

Suppose radius of the moon's orbit around the earth is doubled. Its period around the earth will become:

A
1/2 times
B
times
C
2 2/3 times
D
2 3/2 times

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Text Solution

Verified by Experts
The correct answer is:
D

According to Kepler's law

T 2 ∝ R 3

(Here: R is orbital radius and T is time period)

Now according to question when orbital radius is doubled, then period will be

T2 = 23/2 T1

(Here ; R 1 = R, R 2 = 2R)

Hence, the time period will become 2 3/2 times.

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