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Exercise:
A watchman stands beside a pool at night holding a flashlight hO above the water's surface. He directs a narrow beam of light onto the water with the beam hitting the water's surface dO away from his feet. If the pool is tO deep where will the light spot reach the bottom of the pool measured from the wall directly beneath the watchman's feet?

Solution:
The beam's angle measured from the ray to the surface of the water is alpha' arctan leftfrac..right ang. Hence the beam hits the water at an angle of alphagrad to the optical axis. Since the refractive index of water is . according to Snelliu's Law the beam travels o the water at an angle of sin beta fracn_n_ sin alpha beta arcsin leftfracn_n_ sin alpharight ang.. Because the depth of the water is pq.m the light travels x h tan beta pq.m tan .grad pq.m in horizontal direction measured from the po of entrance o the water. From the watchmans feet that's pq.m+pq.mpqm.
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Exercise:
A watchman stands beside a pool at night holding a flashlight hO above the water's surface. He directs a narrow beam of light onto the water with the beam hitting the water's surface dO away from his feet. If the pool is tO deep where will the light spot reach the bottom of the pool measured from the wall directly beneath the watchman's feet?

Solution:
The beam's angle measured from the ray to the surface of the water is alpha' arctan leftfrac..right ang. Hence the beam hits the water at an angle of alphagrad to the optical axis. Since the refractive index of water is . according to Snelliu's Law the beam travels o the water at an angle of sin beta fracn_n_ sin alpha beta arcsin leftfracn_n_ sin alpharight ang.. Because the depth of the water is pq.m the light travels x h tan beta pq.m tan .grad pq.m in horizontal direction measured from the po of entrance o the water. From the watchmans feet that's pq.m+pq.mpqm.
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Attributes & Decorations
Tags
geometric, geometry, glas, index, law, light, optics, physics, ray, refraction, refractive, sin, snelliu's, snellius, tan, water, wave
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Difficulty
(2, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link