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Question

The areas A1,A2, and A3 are equal. Time taken for a planet to move from point M to N is T1, and from point O to Q is T2. Find the ratio of T1 and T2.

A
1:1
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B
1:2
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C
2:1
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D
1:4
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Solution

The correct option is B 1:2
Kepler’s second law states that the time taken for a planet to sweep equal areas are equal.

Here, A1=A2=A3
Let the time taken to sweep area A1= time taken to sweep area A2= time taken to sweep area A3=t
Time taken to sweep area A1+
Time taken to sweep area A2=2t Hence, T1T2=t2t=12
Hence, T1:T2 = 1 : 2

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