There is a small air bubble at the centre of a solid glass sphere of radius ‘r’ and refractive index ‘μ’. What will be the apparent distance of the bubble from the centre of the sphere, when viewed from outside ?

Question

There is a small air bubble at the centre of a solid glass sphere of radius ‘r’ and refractive index ‘μ’. What will be the apparent distance of the bubble from the centre of the sphere, when viewed from outside ? (A) r (B) (r/μ) (C) r(r - (1/μ)) (D) 0

Tardigrade Admin · Accepted Answer

As the object is at centre of the sphere. ∴ All rays will fall normally on surface, hence they do not deflect. Thus, a virtual image is formed at the centre O. ∴ Apparent depth = Real depth

Q. There is a small air bubble at the centre of a solid glass sphere of radius ‘r’ and refractive index $‘ μ ’$ . What will be the apparent distance of the bubble from the centre of the sphere, when viewed from outside ?

$r$

$\frac{r}{μ}$

$r (r - \frac{1}{μ})$

0

As the object is at centre of the sphere.
$∴$ All rays will fall normally on surface, hence they do not deflect. Thus, a virtual image is formed at the centre $O$ .

$∴$ Apparent depth = Real depth

Q. There is a small air bubble at the centre of a solid glass sphere of radius ‘r’ and refractive index ‘μ’. What will be the apparent distance of the bubble from the centre of the sphere, when viewed from outside ?

r

μr​

r(r−μ1​)

0

As the object is at centre of the sphere. ∴ All rays will fall normally on surface, hence they do not deflect. Thus, a virtual image is formed at the centre O. ∴ Apparent depth = Real depth

Q. There is a small air bubble at the centre of a solid glass sphere of radius ‘r’ and refractive index $‘ μ ’$ . What will be the apparent distance of the bubble from the centre of the sphere, when viewed from outside ?

$r$

$\frac{r}{μ}$

$r (r - \frac{1}{μ})$

As the object is at centre of the sphere.
$∴$ All rays will fall normally on surface, hence they do not deflect. Thus, a virtual image is formed at the centre $O$ .

$∴$ Apparent depth = Real depth