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Rotational Motion question

2008 · Q145
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Rotational Motion question

2008 · Q145

NEETPhysicsRotational MotionMCQ+4 / −1
The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is
  1. A
    2:1\sqrt 2 :12​:1
  2. B
    2:3\sqrt 2 :\sqrt 32​:3​
  3. C
    3:2\sqrt 3 :\sqrt 23​:2​
  4. D
    1:21:\sqrt 21:2​
View written solutionFree

Correct answer: D

M.I. of a circular disc, Mk2=M.R22M{k^2} = {{M.{R^2}} \over 2}Mk2=2M.R2​

M.I. of a circular ring = MR2.

∴\therefore∴ Ratio of their radius of gyration = 12:1{1 \over {\sqrt 2 }}:12​1​:1

⇒\Rightarrow⇒ 1 : 2{\sqrt 2 }2​

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