wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Two discs have same mass and thickness. Their materials are of densities π1 and π2. The ratio of their moment of inertia about central axis will be

A
π1:π2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
π1π2:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1:π1π2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
π2:π1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D π2:π1
Mass of disc= material density x (area x thickness)
As mass and thickness of both discs is same
π1(πr12)=π2(πr22)r12r12=π2π1
Moment of Inertia of disc = mr2/2
Moment of Inertia of disc 1, I1=mr12/2
Moment of Inertia of disc 2, I2=mr22/2

I1I2=r12r22=π2π1

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Moment of Inertia of Solid Bodies
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon