Questions

If two circular discs *A* and *B* are of same mass but of radii rand 2*r* respectively, then the moment of inertia of *A* is [Kerala CEE 2015]

60 mins Expert Faculty Ask Questions

a

one-fourth that of B

b

twice that of B

c

four times that of B

d

same as that of B

detailed solution

Correct option is A

Given, radius of circular disc A,r1=rRadius of circular disc B,r2=2rFor disc A,IA=mr2 …(i)For disc B, IB=m(2r)2=4mr2 …(ii)On dividing Eq. (i) by Eq. (ii), we get∴ IAIB=mr24mr2⇒IAIB=14⇒IA=14IBSo, moment of inertia of A is one-fourth that of B.

Similar Questions

Two discs have mass ratio 1 : 2 and diameter ratio 2 : 1, then find the ratio of their moments of inertia.

799 666 8865

support@infinitylearn.com

6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.

JEE

JEE Mock Tests

JEE study guide

JEE Revision Notes

JEE Important Questions

JEE Sample Papers

JEE Previous Year's Papers

NEET

NEET previous year’s papers

NEET important questions

NEET sample papers

NEET revision notes

NEET study guide

NEET mock tests

Popular Books

HC Verma Part 1HC Verma Part 2RS AgarwalRD SharmaLakhmir SinghDK GoelSandeep GargTS GrewalNCERT solutions

Class 12 NCERT SolutionsClass 11 NCERT SolutionsClass 10 NCERT SolutionsClass 9 NCERT SolutionsClass 8 NCERT SolutionsClass 7 NCERT SolutionsClass 6 NCERT Solutions