Question

A charge q exists at a distance or R from a spherical concave mirror of mass of radius of curvature R, Let mirror subtends a half angle $\theta ={30}^{\circ }$ at the angle.
Flux passing through the mirror is

• A. $\frac{q{sin}^2{15}^{\circ }}{{\epsilon }_0}$
• B. $\frac{q{sin}^2{30}^{\circ }}{{\epsilon }_0}$
• C. $\frac{q{sin}^2{30}^{\circ }}{2{\epsilon }_0}$
• D. $\frac{q{sin}^2{15}^{\circ }}{2{\epsilon }_0}$

Answer 1

The correct option is A $\frac{q{sin}^2{15}^{\circ }}{{\epsilon }_0}$

$\theta ={30}^0$

Flux through the mirror

$\varphi =\frac{q_0}{{ϵ}_0}{\sin }^2\frac{\theta }{2}$

$=\frac{q.{\sin }^2{15}^0}{{ϵ}_0}$