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

A container filled with viscous liquid is moving vertically downwards with constant speed 3v0. At the instant shown, a sphere of radius r is moving vertically downwards (in liquid) has speed v0. The coefficient of viscosity is η. There is no relative motion between the liquid and the container. Then at the shown instant, the magnitude of viscous force acting on sphere is:

71845.jpg

A
6πηrv0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
12πηrv0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
18πηrv0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
24πηrv0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D 12πηrv0
Relative velocity of the ball wrt. the liquid is3v0v0=2v0 upward
Substituting v=2v0
Viscous force on the ball is Fviscous=6πηrv=6πηr(2v0)=12πηrv0

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Viscosity
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon