Q110 / 200 · NEET 2023 (All India) · Physics

The ratio of radius of gyration of a solid sphere of mass M and radius R about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is :

  • A
    5:2
  • Correct answer
    B
    35
  • C
    5:3
  • D
    2:5

Solution

Radius of gyration of solid sphere about its own axis is given by,

ksolid=IM=2MR25M=25R

Similarly,

khollow=IM=2MR23M=23R

Therefore, required ratio would be

ksolidkhollow=35.

Note: This option was not present in the original paper.

Hence, the correct answer is option: 'B'.

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