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6. system of particles and rotational motion — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics6. system of particles and rotational motion1 Mark
MCQ
A hot solid sphere is rotating about a diameter at an angular velocity $\omega_0$. If it cools so that its radius reduces to $\frac{1}{\eta}$ of its original value, its angular velocity becomes .............
  • A
    $\eta \omega_0$
  • B
    $\frac{\omega_0}{\eta}$
  • C
    $\frac{\omega_0}{\eta^2}$
  • ✓
    $\eta^2 \omega_0$
✓

Answer

Correct option: D.
$\eta^2 \omega_0$
d
(d)

Angular momentum will be conserved

$\frac{2}{5} m r^2 \omega_0=\frac{2}{5} m\left(\frac{r}{\eta}\right)^2 \omega^{\prime}$

$\omega^{\prime}=\eta^2 \omega_0$

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