Question

Locate the image of the point object O in the situation shown in the figure with respect to the pole $P$ of the spherical surface. The point C denotes the centre of curvature of the refracting surface.

• A. $30cm$, Left
• B. $30cm$, Right
• C. $20cm$, Right
• D. $20cm$, Left
  

Answer 1

The correct option is A

$30cm$, Left

Given
Object distance (u) = -15 cm
Radius of curvature (R) = 30 cm

Refractive index of the medium from where light is emerging :
${\mu }_1$ = 1

Refracted index of the medium in which light got refracted :
${\mu }_2$ = 1.5.

Equation of refraction of light at curved surfaces is given as :

$\frac{{\mu }_2}{v}-\frac{{\mu }_1}{u}=\frac{{\mu }_2-{\mu }_1}{R}$

$\frac{1.5}{v}-\frac{1.0}{-15}=\frac{1.5-1}{30}$

$v=-30cm$

The image is formed 30 cm left to the spherical surface and is hence, virtual.