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Rotational Motion question

2022 · Q144
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Rotational Motion question

2022 · Q144

NEETPhysicsRotational MotionMCQ+4 / −1

The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is

  1. A
    2 : 1
  2. B
    2\sqrt22​ : 1
  3. C
    4 : 1
  4. D
    1 : 2\sqrt22​
View written solutionFree

Correct answer: B

NEET 2022 Phase 1 Physics - Rotational Motion Question 13 English Explanation 1

$${l_1} = {{M{R^2}} \over 2}$$

$${k_1} = \sqrt {{{{l_1}} \over M}} $$

$$ = {R \over {\sqrt 2 }}$$

NEET 2022 Phase 1 Physics - Rotational Motion Question 13 English Explanation 2

$${l_2} = {{M{R^2}} \over 4}$$

$${k_2} = \sqrt {{{{l_2}} \over M}} $$

$ = {R \over 2}$

$${{{k_1}} \over {{k_2}}} = {{{R \over {\sqrt 2 }}} \over {{R \over 2}}}$$

$ = \sqrt 2 :1$

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