JEE Main 2020 (9 Jan, Shift 2) Physics Q6: Circular Motion

Question

A spring mass system (mass $m$, spring constant $k$ and natural length $l$) rests in equilibrium on a horizontal disc. The free end of the spring is fixed at the centre of the disc. If the disc together with spring mass system, rotates about it's axis with an angular velocity $\omega$, ($k \gg m\omega^2$) the relative change in the length of the spring is best given by the option :

Accepted Answer

Option 1: $\frac{m\omega^2}{k}$

Answer

$\frac{m\omega^2}{k}$

Answer

$\frac{2m\omega^2}{k}$

Answer

$\frac{m\omega^2}{3k}$

Answer

$\sqrt{\frac{2}{3}}\left(\frac{m\omega^2}{k}\right)$

JEE Main 9 January 2020, Shift 2, Physics Q6

Same idea in other shifts