A solid sphere of radius R has moment of inertia I about its geometrical axis. it is…

Physics · JEE Advanced · NTA ExamsRotational Motion

A solid sphere of radius R has moment of inertia I about its geometrical axis. it is melted into a disc of radius r and thickness t. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to I, then the value of r is equal to:
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  1. \(\frac{2}{\sqrt{15}} R\)
  2. \(\frac{2}{\sqrt{5}} R\)
  3. \(\frac{3}{\sqrt{15}} R\)
  4. \(\frac{\sqrt{3}}{\sqrt{15}} R\)

Answer

(A) 2 15 R

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