A linear charge having linear charge density , penetrates a cube … - Vidyadip

MCQ

A linear charge having linear charge density $\lambda$ , penetrates a cube diagonally and then it penetrate a sphere diametrically as shown. What will be the ratio of flux coming cut of cube and sphere

A
$\frac{1}{2}$
B
$\frac{2}{{\sqrt 3 }}$
✓
$\frac{{\sqrt 3 }}{2}$
D
$\frac{1}{1}$

✓

Answer

Correct option: C.

$\frac{{\sqrt 3 }}{2}$

c
(c) Flux coming out of the cube ${\phi _1} = \frac{{\lambda \,.\,a\sqrt 3 }}{{{\varepsilon _0}}}$ ......$(i)$
and from sphere ${\phi _2} = \frac{{\lambda \cdot \,2a}}{{{\varepsilon _0}}}$ ......$(ii)$
$\therefore$ $\frac{{{\phi _1}}}{{{\phi _2}}} = \frac{{\sqrt 3 }}{2}$

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