A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force $F \sin ωt$. If the amplitude of the particle is maximum for $ω = ω_1$ and the energy of the particle maximum for $ω = ω_2$, then :

Question

$\begin{array}{1 1} (1)\; ω_1 ≠ ω_0 \;and\; ω_2 = ω_0 \\ (2)\; ω_1 = ω_0\; and\; ω_2 = ω_0 \\ (3)\; ω_1 = ω_0\; and\; ω_2 ≠ ω_0 \\ (4)\;ω_1 ≠ ω_0\; and\; ω_2 ≠ ω_0 \end{array}$