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Problem 8 Easy Difficulty

The two mirrors in Figure P22.8 meet at a right angle. The beam of light in the vertical plane $P$ strikes mirror 1 as shown. (a) Determine the distance the reflected light beam travels before striking mirror 2 (b) In what direction does the light beam travel after being reflected from mirror 2$?$

Answer

a. $x=1.94 m$
b. $\text { The reflected ray travels in the antiparallel direction of the incident ray. }$

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Top Physics 103 Educators
Andy C.

University of Michigan - Ann Arbor

LB
Liev B.

Numerade Educator

Farnaz M.

Other Schools

Jared E.

University of Winnipeg

Video Transcript

for party of our question were asked to determine the distance. The reflected light beam travels before starting the mirror. So if you look at figure 22.8, you see that the distance from 0.0 to point B is equal to 1.25 meters and this angle here they'd as equal to 50 degrees. So the distance from Odo Prime, which we call D Odo Prime, uh, can be found using the Trigana metric identity where the co sign of the angle data, it's equal to the adjacent. So oh, to be over the hype oddness, which is what we want to find Odo Prime. So this is part, eh? Let's go ahead and indicate that. So solving for the distance from Odo Prime, we find that this is equal to the distance for motive, be divided by the co sign of the angle data, which is the incident angle plugging those values into this expression, we find that this is equal to one 0.94 in the units here. Our meters, which we can box in, is their solution. For part a part B assets to, uh, figure out the direction the light beam travels after reflecting on the mirror. So this is going to be 50 degrees to the horizontal. Or, uh, this is also equivalent to anti parallel with the incident Ray on the first year. So we go ahead, type this out so 50 degrees to the horizontal or anti parallel with incident rate, this could be boxed in as our solution for part B.

University of Kansas
Top Physics 103 Educators
Andy C.

University of Michigan - Ann Arbor

LB
Liev B.

Numerade Educator

Farnaz M.

Other Schools

Jared E.

University of Winnipeg