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

# n identical droplets are charged to V volt each. If they coalesce to form a single drop, then its potential will be

A
n23V
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
n13V
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
nV
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Vn
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A n23VLet the radius of each droplet be r units. So, the volume of each droplet is equal to 43πr3.Thus, n droplets have the total volume equal to n(43πr3).Since, the number of the drop would be equal to the total volume of the droplets hence,⇒R3=nr3⇒R=n13r…(i)The capacitance of each droplet is equal to. Cd=4πε0rand thus the charge of each droplet would equalqd=CdVd=4πε0rVd…(ii)The capacitance of the bigger drop would be equal to C=4πε0R.The potential of the bigger drop would be equal to V (say).Hence, V=nqdC=n(4πε0rVd)4πε0n13r=n23Vd

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Stopping Potential
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program