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

1000 small water drops each of capacitance C join together to form one large spherical drop. The capacitance of a bigger sphere is

A
C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
10C
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
100C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1000C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 10C

Step 1: Volume conservation
The combined volume of n smaller drops is equal to the volume of large sphere.
Vi=Vf
N×43πr3=43πR3 (Here "r" is radius of each small sphere and "R" is radius of big sphere)

1000×43πr3 = 43πR3

R=10r

Step 2: Comparision of capcitances
Capacitance of sphere=4π0.(radius)
Capcitance of smaller sphere
C=4π0r ....(1)

Capacitance of larger sphere
Cf=4π0R=40π0r=10C

Cf=10C (Using Equation 1)

Hence the capacitance of larger sphere is 10C.

Option (B) correct

2114312_1461307_ans_f68e0f3d6d7b4be1b0b962f389a6fea9.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Rate of Change
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon