Question

An object O in glass ($\mu =1.5$) is situated at a distance of 5 cm from a spherical surface of diameter 40 cm as shown in the figure. Find the distance of the image from the surface.

• A. -5 cm
• B. 3.63 cm
• C. -3.63 cm
• D. 5 cm

Answer 1

The correct option is C -3.63 cm

It is given that

$u=-5cm$

$R=-20cm$

${\mu }_1=1.5$

${\mu }_2=1$

Put all these values in the equation

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

$\frac{1}{v}-\frac{1.5}{(-5)}=\frac{1-1.5}{-20}$

$v=-3.63cm$