System of Particles and Rotational Motion - Result Question 55

59. 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

(a) 2:1

(b) 1:2

(c) 3:2

(d) 2:1

[NEET Kar. 2013, 2008]

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Answer:

Correct Answer: 59. (a)

Solution:

(a) I=MK2K=IM

Iring =MR2 and Idisc =12MR2

K1K2=I1I2=MR2(MR22)=2:1



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