Home
Class 12
PHYSICS
A linear charge having linear charge den...

A linear charge having linear charge density `lambda` pentrates a cube diagonally and then it pentrates a spere diametrically as shown. What will br the ratio of flux coming out of cube and sphere ?

A

`1/2`

B

`2/sqrt3`

C

`sqrt3/2`

D

`1/1`

Text Solution

Verified by Experts

The correct Answer is:
C
`q_("in")` (Cube) =`lamda xxsqrt3a`
flux `(phi_1)=(q_("in"))/(epsilon_0)=(sqrt3lamdaa)/(epsilon_0)`
`q_("in")` (sphere) `=lamdaxx2a`
flux `(phi_2)=(q_("in"))/(epsilon_0)=(lamda2a)/(epsilon_0)`
`phi_1/phi_2=(sqrt3lamdaa)/(epsilon_0)xx(epsilon_0)/(lamda2a)=sqrt3/2`
Promotional Banner

Similar Questions

Explore conceptually related problems

The dimensional formula of linear charge density lambda is

A half ring of radius r has a linear charge density lambda .The potential at the centre of the half ring is

For an infinite line of charge having linear charge density lambda lying along x-axis the work done in moving a charge q form C to A along CA is

A uniformly charged and infinitely long line having a linear charge density 'lambda' is placed at a normal distance y from a point O . Consider a sphere of radius R with O as centre and Rgty . Electric flux through the surface of the sphere is

Consider an infinite line charge having uniform linear charge density and passing through the axis of a cyclinder. What will be the effect on the flux passing through curved surface if the portions of the line charge outside the cyclinder is removed