- #1
pavadrin
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Here is the question:
A factory uses a beam of light to allow workers to visually check the temperature of a liquid. A semi-circular crown glass (refractive index (n) =1.75) block is placed in a liquid X whose refractive index n changes with temperature T (in °C) according to the formula:
n = 2.25 – 0.025T
A light ray may be directed to the centre of the glass block makes and angle Ө = 60° with the normal
If the ray is totally reflected at O, find the refractive index and the corresponding temperature of liquid X.
My working:
[tex]\theta_{critical}=\frac{n_{1}}{n_{2}}[/tex]
from this point onwards I am stuck, any post regarding hints/working/solution will be greatly appreciated
Thank you,
Pavadrin
A factory uses a beam of light to allow workers to visually check the temperature of a liquid. A semi-circular crown glass (refractive index (n) =1.75) block is placed in a liquid X whose refractive index n changes with temperature T (in °C) according to the formula:
n = 2.25 – 0.025T
A light ray may be directed to the centre of the glass block makes and angle Ө = 60° with the normal
If the ray is totally reflected at O, find the refractive index and the corresponding temperature of liquid X.
___________________________________________
My working:
[tex]\theta_{critical}=\frac{n_{1}}{n_{2}}[/tex]
from this point onwards I am stuck, any post regarding hints/working/solution will be greatly appreciated
Thank you,
Pavadrin