GravitationEasy
Question
A planet moves round the Sun in an elliptical orbit such that its K.E. is k1 and k2 when it is nearest to the Sun and farthest from the Sun respectively.
Options
A.If total energy of the planet is u, then ratio of largest distance (r2) and smallest distance (r1) between planet and the Sun is 
B.If total energy of the planet is u, then ratio of largest distance (r2) and smallest distance (r1) between planet and the Sun is 
C.if r2 = 2r1, the total energy of planet in terms of k1 and k2 is 2k1 - k2
D.if r2 = 2r1 , the total energy of planet in terms of k1 and k2 is 2k2 - k1
Solution
Apply energy conservation for maximum & minimum distances
k1 +
= u ......(1)from equation (1) -
= u - k2 .....(2)
= u - k1 ...(3)(a)
(b) where r2 = 2r1 ; 
⇒ 2u - 2k1 = u - k2 ⇒ u = 2k1 - k2Create a free account to view solution
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