CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Three concentric conducting spherical shells have radii r,2r and 3r and charges q1,q2 and q3 respectively. Innermost and outermost shells are earthed as shown in the figure, then ratio of magnitudes of q1,q2 and q3 is

A
3:4:3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1:3:3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4:4:3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1:4:3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 1:4:3

Potential of innermost shell is zero.
q1r+q22r+q33r=0
6q1+3q2+2q3=0 ... (1)
Similarly, potential on outermost shell is also zero.
q13r+q23r+q33r=0
q1+q3=q2 ... (2)
Solving equations (1) and (2), we get
q1=q24,q3q1=3 and q3q2=34
Hence q1:q2:q3=1:4:3
Ratio of magnitudes of charges is 1:4:3

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Second Law of Thermodynamics
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon