1. Tardigrade
  2. Question
  3. Physics
  4. Two circular loops A and B are made of the same wire and their radii are in the ratio 1:n. Their moments of inertia about the axis passing, through the center and perpendicular to their planes are in the ratio 1:m.The relation between m and n is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Two circular loops A and B are made of the same wire and their radii are in the ratio 1:n. Their moments of inertia about the axis passing, through the center and perpendicular to their planes are in the ratio 1:m.The relation between m and n is

Solution:

$\frac{I_1}{I_2} = \frac{M_1R^2_1}{M_2R^2_2}$ for a circular loop, $M\, \alpha\, R$
$\therefore $ $\frac{I_1}{I_2} = \frac{R^3_1}{R^3_2}$