NEET (UG) 2025 — Question 16

Angular Momentum conservation

$\mathrm{I}_{1} \omega_{1}=\mathrm{I}_{2} \omega_{2}$ $\quad$ $\mathrm{M}=$ same

$\omega_{2}=\frac{\omega_{1}}{4}$ $\quad$ $\mathrm{R}_{2}=2 \mathrm{r}_{1}$

$T=\frac{2 \pi}{\omega}$ $\quad$ $\mathrm{I} \propto \mathrm{r}^{2}$

$\mathrm{~T}_{2}=4 \mathrm{~T}_{1}=4 \times 27$ $\quad$ $\mathrm{I}_{2}=4 \mathrm{I}_{1}$

$\mathrm{~T}_{2}=108$ days

$\mathrm{T}_{1}=27$ day