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# A ray of light strikes a flat block of glass $(n=1.50)$ of thickness 2.00 $\mathrm{cm}$ at an angle of $30.0^{\circ}$ with the normal. Trace the light beam through the glass and find the angles of incidence and refraction at each surface.

## $\dot{1}_{2}=19 \cdot 47^{\circ}$$\quad i_{2}=x$

### Discussion

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##### Andy C.

University of Michigan - Ann Arbor

##### Jared E.

University of Winnipeg

### Video Transcript

let me draw the block here. Uh, this is the block, right? And the thickness off the block is two centimeter. So the thickness off the blanc is two centimeter. And let me draw the normal on block. The normal ease aligned. It is perpendicular, uh, to the surface, to the surface of the medium. And here is the incident light. So this is the incident light? No. And this is angle of incidents and angle of incidence is equal to 30 degrees well, after the light enters in the medium light, the fact towards the normal right and this angle the angle between normal and refracted rays called angle of refraction. And let's go normal here. Right? And let's see this angle here is I do. Okay. Now we use Snell's law. Well, according to Snell's long sign off angle of incidents divided by sine off angle over a fraction is equal do and two divided by N one. We have incident angle equal to 30 degrees and then we have into will end to is 1.5 and in one is equal to one. We need to find out our which is the angle of refraction. Now sign of finger off incidents sign. Well, finger loop. So the diffraction is equal to sign off incidents divided by and to right, and this is equal to sign off. 30 degrees, divided by 1.5. And therefore, Anglo for a fraction is equal to signing worse in 20.333 which is a cool to 19 point for seven degrees. All right, now, from the figure, it is obvious date. Um, here, um, I tour is also equal to 19.47 degrees because I two is equal to Anglo for a fraction because both are ultimate ing angles.

##### Andy C.

University of Michigan - Ann Arbor

##### Jared E.

University of Winnipeg