The electrostatic potential in a charged spherical region of radius
varies as
, where
and
are constants. The total charge in the sphere of unit radius is
. The value of
is
. (permittivity of vacuum is
)
Text Solution
Verified by ExpertsThe correct answer is:
B
From
, the electric field is
.
By Gauss's law:
, so
.
This gives
.
At
.
Since
, we have 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Two charges and are placed at and respectively in an external field , where . Considering the…
A point charge of is placed at origin. The work done in moving a point charge from point to is …
Two-point charges of 1 nC and 2 nC are placed at the two corners of equilateral triangle of side 3 …
There are three co-centric conducting spherical shells and of radii and respectively ( ) and t…
Three charges and are situated at and respectively in the plane. The resultant dipole moment a…
Consider two identical metallic spheres of radius each having charge and mass . Their centers ha…