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Consider a satellite orbiting the earth as shown in the figure below. Let La and Lp represent the angular momentum of the satellite about the earth when at aphelion and perihelion, respectively. Consider the following relations. [AMU 2012](i) La = Lp(ii) La = -Lp (iii) ra x La = rp x LpWhich of the above relation{s) is/are true?

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a

(i) only

b

(ii) only

c

(iii) only

d

(i) and (iii)

answer is A.

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Detailed Solution

Using the law of conservation of angular momentum,Angular momentum of planet at p = Angular momentum of planet at a i.e., La = LpBut ra>rp. So, ra×La>rp×Lp

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Consider a satellite orbiting the earth as shown in the figure below. Let La and Lp represent the angular momentum of the satellite about the earth when at aphelion and perihelion, respectively. Consider the following relations. [AMU 2012](i) La = Lp(ii) La = -Lp (iii) ra x La = rp x LpWhich of the above relation{s) is/are true?