Question

A solid, transparent sphere has a small, opaque dot at its center. when observed from outside, the apparent position of the dot will be

• A. closer to the eye than its actual position
• B. father away from the eye than its actual position
• C. the same as its actual position
• D. independent of the refractive index of the sphere

Answer 1

Answer: (C), (D)

the same as its actual position
independent of the refractive index of the sphere

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

Here, ${\mu }_1=\mu =$refractive index of glass, ${\mu }_2=1,u=-R=$ radius of sphere, $r=-R$

$\frac{1}{v}-\frac{\mu }{-R}-\frac{1-\mu }{-R}$
$or\frac{1}{v}=\frac{1}{-R}orv=-R$