Question

A change q exists at a distance of R from a spherical concave mirror of curvature R. Let mirror subtends a half angle $\theta ={30}^o$ at the change.Flux passing through the mirror is

• A. $2q{sin}^2{15}^o$
• B. $q{sin}^2{30}^o$
• C. $2q{sin}^2{30}^o$
• D. $q{sin}^2{15}^o$

Answer 1

The correct option is B $q{sin}^2{30}^o$

distance $=R$

$\theta ={30}^0$

$\varphi =\frac{q}{{ϵ}_0}$ (Using Gauss law)

$=q\sin \theta .\sin \theta$

$=q{\sin }^2\theta$

$=q{\sin }^2{30}^0$