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Q.

Which of the following statements are correct  about a planet rotating around the sun  in an elliptic orbit?
(i) Its mechanical energy is constant
(ii) Its angular momentum is constant 
(iii) Its areal velocity is constant 
(iv) Its time period is proportional to r3 , where r is the semimajor axis of the elliptical orbit .

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a

(i, iii)

b

(ii, iv)

c

(i, ii)

d

(i, ii, iii)

answer is D.

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Detailed Solution

Statement (iv) is incorrect because square of the time period is proportional to r3.

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Which of the following statements are correct  about a planet rotating around the sun  in an elliptic orbit?(i) Its mechanical energy is constant(ii) Its angular momentum is constant (iii) Its areal velocity is constant (iv) Its time period is proportional to r3 , where r is the semimajor axis of the elliptical orbit .