A beam of light passes from quartz to zircon at an angle of 19°. What is the angle of refraction? What is the critical angle when passing from zircon to quartz?

Question

1619 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-03T08:49:07

#r=14.88 ^o#

#theta_C=51.98" "^o#

enter image source here

#"assuming "n_q=1.544 " , " " n_z=1.960 " ,"sin 19=0.326 #

#"using Snell law:"#

#n_q*sin i=n_z*sin r#

#1.544*sin 19=1.960* sin r#

#1.544*0.326=1.960*sin r#

#0.503344=1.960*sin r#

#sin r=(0.503344)/(1.960)#

#r=14.88 ^o#

#"critical angle for light passing from zircon to quartz:"#

#theta_C=" critical angle"#

#sin theta_C*n_z=sin 90*n_q#

#so; sin 90=1#

#sin theta_C*n_z=1*n_q#

#sin theta_C=n_q/n_z=(1.544)/(1.960)#

#theta_C=51.98" "^o#