A comet of mass 
moves in a highly elliptical orbit around the sun of mass 
. The maximum and minimum distances of the comet from the centre of the sun are 
and 
respectively. The magnitude of angular momentum of the comet with respect to the centre of sun is
a)
b)
c)
d)
A comet of mass moves in a highly elliptical orbit around the sun of mass . The maximum and minimum distances of the comet from the centre of the sun are and respectively. The magnitude of angular momentum of the comet with respect to the centre of sun is
a)
b)
c)
d)
Question ID - 54901 | SaraNextGen Top Answer
A comet of mass moves in a highly elliptical orbit around the sun of mass . The maximum and minimum distances of the comet from the centre of the sun are and respectively. The magnitude of angular momentum of the comet with respect to the centre of sun is
a)
b)
c)
d)
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A comet of mass |
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a) |
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b) |
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c) |
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d) |
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(d)
The gravitational force of sun on comet is radial, hence angular momentum is constant over the entire orbit. Using law of conservation of angular momentum, at locations 
and 
.png)
or 
…(i)
Using the principle of conservation of total energy at 
and 
or 
…(ii)
Putting the values from Eq. (i) in Eq. (ii) and solving, we get
