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

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 6. system of particles and rotational motion4 Marks
MCQ
One solid sphere $A$ and another hollow sphere $B$ are of same mass and same outer radii. Their moment of inertia about their diameters are respectively $I_{A}$ and $I_{B}$ such that Where $d_{A}$ and $d_{B}$ are their densities
  • ✓
    $I_{A} < I_{B}$
  • B
    $I_{A} = I_{B}$
  • C
    $I_{A} > I_{B}$
  • D
    $\frac{I_{A}}{I_{B}}=\frac{d_{A}}{d_{B}}$
✓

Answer

Correct option: A.
$I_{A} < I_{B}$
a
Moment of inertia of a uniform density solid sphere, $A=\frac{2}{5} M R^{2}$

And of hollow sphere $B=\frac{2}{3} M R^{2}$

Since $M$ and $R$ are same, $I_{A}<I_{B}$

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