b$.$ Draw a ray diagram for an object in front of a LENS according to the following:

Focal length $($ f $)$ in cm$=$ the number of the first letter of your FIRST NAME $($ie$.,$ D$)$

If female, focal length is positive; if male, focal length is negative $($Male

Object distance $($ p $)$ in cm$=$ the number of your birth MONTH $($October$)$

For example, I would use

f$=+13$cm $($ M$=13^("$th $")$ letter and I$\text{'}$m still female$)$

p$=6$cm $($I was born in the $6^($th$)$m

$000$ here is a fancy little glass prism. A laser beam

hits the face of the prism, as shown, at an angle theta to

the horizontal. The angle, in degrees, is equal to your

birth MONTH $($October$).$ At what angle with respect to the

horizontal does the beam exit the prism?

To prove to yourself that light acts like a wave when we can't tell which way it went, you shine a

green laser beam with a wavelength of $565$ nm on a diffraction grating with separation d between

the slits. The value of d in micrometers is equal to the number of your birth MONTH $($October$).$ You set the

screen $50$ cm away from the grating. You indeed see an interference pattern since photons are

inclusive little bastards. $($Keep $6$ decimal places in calculation.$)$

a$)$ How far is the second maximum $($n$=2)$ from the central max $($ where n$=0)?$

b$)$ How far is the third minimum from the central max $($where n$=0)?$