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 ?

Options

A. `1/2`
B. `2/sqrt3`
C. `sqrt3/2`
D. `1/1`

Answer

C

Explanation

`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`