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Q.

A satellite of mass m is moving in circular orbit around the earth with kinetic energy K and its angular momentum is L. What will be the angular momentum of a satellite of mass 4m which is moving in a circular orbit around the earth with kinetic energy 4K.

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a

2L

b

4L

c

8L

d

L2

answer is B.

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Detailed Solution

Orbital speed v=GMr⇒GMV2=GMm212mv2=GMm2KAlso,12mv2=K⇒V=2Km∴L=mVr=m.2Km.GMm2K=.GM2K⇒Lα(m)3/2(k)1/2⇒L'L=4mm3/2k4k1/2=4
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