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Rotational Motion question

2013 · Q151
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Rotational Motion question

2013 · Q151

NEETPhysicsRotational MotionMCQ+4 / −1
The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius, about an axis passing through their centres and perpendicular to their planes are
  1. A
    1:21:\sqrt 21:2​
  2. B
    3 : 2
  3. C
    2 : 1
  4. D
    2:1\sqrt 2 :12​:1
View written solutionFree

Correct answer: D

∵\because∵ I=MK2I = M{K^2}I=MK2 ∴\therefore∴ K=IMK = \sqrt {{I \over M}} K=MI​​

Iring = MR2 and Idisc = 12{1 \over 2}21​MR2

K1K2=I1I2=MR2(MR22)=2:1{{{K_1}} \over {{K_2}}} = \sqrt {{{{I_1}} \over {{I_2}}}} = \sqrt {{{M{R^2}} \over {\left( {{{M{R^2}} \over 2}} \right)}}} = \sqrt 2 :1K2​K1​​=I2​I1​​​=(2MR2​)MR2​​=2​:1

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