Here is the question:(adsbygoogle = window.adsbygoogle || []).push({});

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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Refractive index to measure temperature

**Physics Forums | Science Articles, Homework Help, Discussion**