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Rotational Motion question

2004 · Q151
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Rotational Motion question

2004 · Q151

NEETPhysicsRotational MotionMCQ+4 / −1
The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axes in the plane of the ring is
  1. A
    2 : 3
  2. B
    2 : 1
  3. C
    5:6\sqrt 5 :\sqrt 65​:6​
  4. D
    1:21:\sqrt 21:2​
View written solutionFree

Correct answer: C

Radius of gyration of disc about a tangential axis in the plane of disc is 52R=K1{{\sqrt 5 } \over 2}R = {K_1}25​​R=K1​, radius of gyration of circular ring of same radius about a tangential axis in the plane of circular ring is

K2=32R{K_2} = \sqrt {{3 \over 2}} RK2​=23​​R

∴K1K2=56 \therefore {{{K_1}} \over {{K_2}}} = {{\sqrt 5 } \over {\sqrt 6 }}∴K2​K1​​=6​5​​

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