# Homework 4 5.6

```Homework 4
5.6
Show that, in the paraxial domain, the magnification produced by a single
spherical interface between two continuous media is given by
MT = –
n1 si
.
n2 s 0
n1
y0
n2
C
θi
θt
yi
S0
Si
5.14
A 35-mm camera has a single thin lens having a 50.0-mm focal length. A
woman 1.7m tall stands 10.0 m in front of the camera. (a) Show that the
lens-film distance must be 50.3 mm. (b) How tall is her image on the
film?
5.18
A parallel bundle of rays from a very distant point source is incident on a
thin negative lens having a focal length of -50 cm. The rays make an
angle of 6 with the optical axis of the lens. Locate the image of the
source.
Fi
S1
6&ordm;
y0
S2
yi
5.25
A candle that is 6 cm tall is standing 10 cm from a thin concave lens
where focal length is -30 cm. Determine the location of the image and
describe it in detail. Draw an appropriate ray diagram.
Sol:
Fi
y0
yi
S0
f
Si
5.33
Two positive lenses with focal lengths of 0.30m and 0.50m are separated
by a distance of 0.20m. A small butterfly rests on the central axis 0.50m
in front of the first lens. Locate the resulting image with respect to the
second lens.
```