ElectrostaticsHard
Question
Figure shows two large cylindrical shells having uniform linear charge densities +λ and −λ. Radius of inner cylinder is ′a′ and that of outer cylinder is ′b′. A charged particle of mass m, charge q revolves in a circle of radius r. Then, its speed ′v′ is : (Neglect gravity and assume the radii of both the cylinders to be very small in comparison to their length.)
Options
A.
B.
C.
D.
Solution
Using Gauss′s law for Gaussian surface shown in figure.
; E . 2πrl = 
∴ E = 
For circular motion.
qE =
∴ V = 
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