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A particle of mass m moves in a circular orbit under the central potential field, V(r) = -C/r, where C is a constant. The correct radius-velocity graph of the particle's motion is;

Option 1 -

a

Option 2 -

b

Option 3 -

c

Option 4 -

d

0 4 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    2 months ago
    Correct Option - 3


    Detailed Solution:

    U = mV (r) = -Cm/r

    F = -dU/dr = -Cm/r² ⇒ The force which provides required centripetal force

    ⇒ mv²/r = Cm/r² ⇒ r = C/v²

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