Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
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 $\mathrm{I}_{\mathrm{A}}$ and $\mathrm{I}_{\mathrm{B}}$ such that
PhysicsRotational MotionJEE MainJEE Main 2004
Options:
  • A
    $I_A=I_B$
  • B
    $I_A>I_B$
  • C
    $I_A < I_B$
  • D
    yes, $45^{\circ}$
    $I_A / I_B=d_A / d_B$
    Where $d_A$ and $d_B$ are their densities.
Solution:
2874 Upvotes Verified Answer
The correct answer is:
$I_A < I_B$
Moment of inertia of a uniform density solid sphere, $A=\frac{2}{5} M R^2$
Since $M$ and $R$ are same, $I_A < I_B$.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.