Central forces — CSIR Net PYQ (Question 1)

A Central forces previous-year question (PYQ) from Classical Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 1 of 19 · 3.5 marks

A particle moves in three dimensional space in a central potential

V (r) = k r^{4}

where

k

is a constant. The angular frequency

ω

for a circular orbit depends on it radius

R

1 $ω \propto R$
2 $ω \propto R^{- 1}$
3 $ω \propto R^{1/4}$
4 $ω \propto R^{- 2/3}$

Correct answer: Option 1

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