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A particle at a distance r from the cent...

A particle at a distance r from the centre of a uniform spherical planet of mass M radius R (ltr) has a velocity of magnitude v.

A

for `0 lt v lt sqrt((GM)/r` trajectory may be ellipse

B

for v `=sqrt((GM)/r` trajectory may be ellipse

C

for `sqrt((GM)/r lt v lt sqrt((2GM)/r` trajectory may be ellipse.

D

for v `=sqrt((GM)/r trajectory may be circle

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Orbital speed `(v_(0))=sqrt(GM/R)`
escapes speed `(v_(e))=sqrt((2GM)/R)`
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