CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Eight small drops, each of radius r and having same charge q are combined to form a big drop. The ratio of potential of the bigger drop to the smaller drop is

A
8:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4:1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2:1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1:8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 4:1
When 8 small drops are combined to a single drop,
let Q be charge and R be radius of drop after coalesce.
Net charge Q=8q
Final volume =8× initial volume.
4πR3=8×4πr3
R3=8r3
R=2r

Potential of a sphere of charge Q and radius R is V=Q4πϵ0R

Ratio of potentials VbigVsmall=QR×rq
VbigVsmall=8q2r×rq=4

flag
Suggest Corrections
thumbs-up
33
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Electric Potential Due to Uniformly Charged Spherical Shell or Solid Sphere
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon