Two particles of the same mass $m$ are moving in circular orbits because of force, given by $F \left(r\right)=-\frac{16}{r}-r^3$. The first particle is at a distance $r=1$, and the second, at $r=4$. The best estimate for the ratio of kinetic energies of the first and the second particle is closest to

• A

  $3 \times {10}^{-3}$
• B

  $6 \times {10}^2$
• Correct answer
  C

  $6 \times {10}^{-2}$
• D

  ${10}^{-2}$

Hence, the correct answer is option: 'C'.