Question 15 Marks
$i.$ Draw a labelled ray diagram to show the path of a ray of light incident obliquely on one face of a glass slab.
$ii. $Calculate the refractive index of the material of a glass slab. Given that the speed of light through the glass slab is $2 \times 10^8 m / s$ and in air is $3 \times 10^8 m / s$.
$iii.$ Calculate the focal length of a lens, if its power is $- 2.5 D.$
$ii. $Calculate the refractive index of the material of a glass slab. Given that the speed of light through the glass slab is $2 \times 10^8 m / s$ and in air is $3 \times 10^8 m / s$.
$iii.$ Calculate the focal length of a lens, if its power is $- 2.5 D.$
Answer
View full question & answer→$i.$ The ray diagram shows the path of a ray of light incident obliquely on one face of a glass slab:

$ii.$ The glass refractive index is defined as the ratio between the speed of light in the vacuum and the speed of light in the glass. Refractive index of glass $(n_g) =$ Speed of light in vacuum/speed of light in the glass.
$ n _{ g } =\frac{3 \times 10^8}{2 \times 10^3}$
$n _{ g } =1.5$
$iii P=\frac{1}{f(\text { inmeter })}$
$f=\frac{1}{P}=\frac{1}{2.5}=\frac{1}{-25}$
$\Rightarrow f=\frac{-100}{25} \ cm=-40 \ cm$
The focal length $(f)$ of a concave lens is always negative.

$ii.$ The glass refractive index is defined as the ratio between the speed of light in the vacuum and the speed of light in the glass. Refractive index of glass $(n_g) =$ Speed of light in vacuum/speed of light in the glass.
$ n _{ g } =\frac{3 \times 10^8}{2 \times 10^3}$
$n _{ g } =1.5$
$iii P=\frac{1}{f(\text { inmeter })}$
$f=\frac{1}{P}=\frac{1}{2.5}=\frac{1}{-25}$
$\Rightarrow f=\frac{-100}{25} \ cm=-40 \ cm$
The focal length $(f)$ of a concave lens is always negative.



