KEAM 2021 Physics and Chemistry Solved Paper

If a body has mass M and radius of gyration is K, then moment of inertia is, I=MK2
or K=√‌

I

M

For a solid cylinder about its long axis of symmetry,
I=‌

1

2

MR2
Putting this value in above equation, we get
⇒‌K‌‌=√‌

‌ 1 2 MR2

M

⇒‌K‌‌=‌

R

√2