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Problem 10 Medium Difficulty

The drawing shows two plane mirrors that intersect at an angle of $50^{\circ} .$ An incident light ray reflects from one mirror and then the other. What is the angle $\theta$ between the incident and outgoing rays?

Answer

$100^{\circ}$

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Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg

Meghan M.

McMaster University

Video Transcript

in this problem, We're going to calculate the angle between my incident Where that uh What's going rate? That is a twitter. So from the figure weakened white Peter plus Phi is equals toe wanted to degree So this can be sold for feta as if he dies equals two. When did you get E minus five? And we call it equating about one. Now we look at some off the interior angles for driving is 1 80 degrees. To apply this to the trying to weaken white too far plus two times off beat up Plus Fiza goes to wanted to degree So from here we can write the square for fires Bicycles to what did you do? G minus two times off so far plus beater We could equate in about two applying the central to the room Any point Weaken white He plus gamma plus 50 degrees equals two 1 80 dignity Now we call it equating about three We can white for this Yes musicals toe 90 degree minus vita And for them awaken white Your musicals too 90 duty Mind is hell for now we're sitting these two values into equation about three weaken right 90 duty minus Be a phone for Are so here we have Peter. Plus, I wanted to do beauty minus, uh So far, must 50 degrees equals to 1 80 So from your recon white formula for all four plus vita as a I'll focus Vita is equals to 50 degree while sitting this well, you into equation about to weaken white bicycles to 1 80 degree, minus two in tow, 50 degrees. So this will you have the value for the fires? Bicycles to, uh, and your dignity? Well, now we can sit this way living to equity number one to get the very for Peter and ties. It goes to 1 80 dignity minus, uh, fight, which had developed for Eddie dignity. So this would be where the value for the tires two days equals two, 100 degrees. So this is around. Thank you.

Other Schools
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg

Meghan M.

McMaster University