Two particles of the same mass are moving in circular orbits because of force, given by $F(r) = \frac{{ - 16}}{r}\, - \,{r^3}$ 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

  • [JEE MAIN 2018]
  • A

    $10^{-1}$

  • B

    $6 \times {10^{-2}}$

  • C

    $6 \times {10^2}$

  • D

    $3 \times {10^{-3}}$

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  • [AIEEE 2005]