A particle of mass $m$ and charge $q$ is kept at the top of a fixed frictionless sphere. $A$ uniform horizontal electric field $E$ is switched on. The particle looses contact with the sphere, when the line joining the center of the sphere and the particle makes an angle $45^o$ with the vertical. The ratio $\frac{qE}{mg}$ is :-
A particle of mass $m$ and charge $q$ is kept at the top of a fixed frictionless sphere. $A$ uniform horizontal electric field $E$ is switched on. The particle looses contact with the sphere, when the line joining the center of the sphere and the particle makes an angle $45^o$ with the vertical. The ratio $\frac{qE}{mg}$ is :-
- A
$\frac{3}{{3 + 2\sqrt 2 }}$
- B
$\frac{{3 + 2\sqrt 2 }}{3}$
- C
$\frac{3}{{3 - 2\sqrt 2 }}$
- D
$\frac{{3 - 2\sqrt 2 }}{3}$
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