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Understand and calculate refracted light angles using Snell's Law with a prism. Measure deviations from theoretical values accurately.
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1. Shine laser incident to side of prism 70 Incident Ray 55 55
2. Draw normal (90 to prism where incident ray hits side ) 70 3. Measure angle i Normal i Incident Ray 55 55
4. Calculate r' Use Snell's Law n sin = n sin r ' i Air Prism 1.45 sin 1.00 sin = r ' = r'
r' 5. Measure with respect to the normal as shown Extend line until it meets side of prism 70 Normal i Incident Ray r' 55 55
6. Draw normal (90 to where extended line meets side) 70 ' 7. Measure i Normal Normal i Incident Ray r' ' i 55 55
Calculate 8. r Use Snell's Law n sin = n sin ' r i Air Prism = 1.45 sin 1.0 sin r = r
r 9. Measure with respect to the normal as shown This is the refracted ray 70 apex angle Normal Normal i r Incident Ray ' r' i Refracted Ray 55 55
r Compare measured to theoretical r Snell's Law n sin = n sin i r Physics Physics Geometry Air Prism Internal Air Prism n sin = n sin n sin = n sin ' r' r' i i + (180 - apex angle) + = 180 i' r 1.0 sin = 1.45 sin = 50 1.45 sin 1.0 sin r' or 38.11 r r r r (90 - ) + apex angle + (90 - ) = 180 i' r' 31.89 + (180 - 70) + = 180 or (90 - 31.89) + 70 + (90 - ) = 180 i' i' = r' 63.50 = 31.89 r = 38.11 i' % deviation = ABS ((63.5 - )/63.5) * 100
Find the Refracted Ray 70 Incident Ray 55 55
3. = 60 2. 1 sin 60 = 1.45 sin = 36.67 r' 1. i' =35 4. 1.45 sin 35 = 1 sin = 56.27 i r r' r 70 Normal Normal i r i' r' Incident Ray Refracted Ray 55 55
r Compare measured to theoretical r Snell's Law n sin = n sin i r Physics Physics Geometry Air Prism Internal Air Prism n sin = n sin n sin = n sin ' r' r' i i + (180 - apex angle) + = 180 i' r 1.0 sin = 1.45 sin 60 = 1.45 sin 1.0 sin 33.33 r' or r r r r (90 - ) + apex angle + (90 - ) = 180 i' r' 36.67 + (180 - 70) + = 180 or (90 - 36.67) + 70 + (90 - ) = 180 i' i' = r' 36.67 = 52.82 r = 33.33 i' % deviation = ABS ((52.82 - 56.27)/52.82) * 100 6.5 %
Find the refracted ray 70 Incident Ray 55 55
1. 3. = 45 i' i = 42 2. 1 sin 45 = 1.45 4. 1.45 sin 42 = 1 sin r sin r' r' r =29.19 = 75.99 70 Normal Normal i Incident Ray r' i' r Refracted Ray 55 55
r Compare measured to theoretical r Snell's Law n sin = n sin i r Physics Physics Geometry Air Prism Internal Air Prism n sin = n sin n sin = n sin ' r' r' i i + (180 - apex angle) + = 180 i' r 1.0 sin = 1.45 sin 45 = 1.45 sin 40.81 1.0 sin r' or r r r r (90 - ) + apex angle + (90 - ) = 180 i' r' 29.19 + (180 - 70) + = 180 or (90 - 29.19) + 70 + (90 - ) = 180 i' i' = r' 71.38 = 29.19 r = 40.81 i' % deviation = ABS ((71.38 - 75.99)/71.38) * 100 6.5 %
REFRACTION - PRISM KS MARCH 2008