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Physics

Key Equations

PhysicsKey Equations

16.1 Reflection

lens/mirror equation (reciprocal version) 1 f = 1 d i + 1 d o 1 f = 1 d i + 1 d o
lens/mirror equation (solved version) f= d i d o d o + d i f= d i d o d o + d i
magnification equation m= h i h o = − d i d o m= h i h o = − d i d o
radius/focal length equation R = 2f

16.2 Refraction

index of Refraction n=cvn=cv
Snell’s law n 1 sin θ 1 = n 2 sin θ 2  or  n 1 n 2 = sin θ 2 sin θ 1 n 1 sin θ 1 = n 2 sin θ 2  or  n 1 n 2 = sin θ 2 sin θ 1
>Snell’s law in terms of speed sin θ 1 sin θ 2 = v 1 v 2 sin θ 1 sin θ 2 = v 1 v 2
critical angle θ c = sin −1 ( n 2 n 1 ), for  n 1 > n 2 θ c = sin −1 ( n 2 n 1 ), for  n 1 > n 2

16.3 Lenses

power and focal length P= 1 f P= 1 f
mirror/lens (or thin-lens) equation 1 f = 1 d i + 1 d o 1 f = 1 d i + 1 d o
rearranged mirror/lens equation d i = f d o d o −f d i = f d o d o −f
magnification equation m= h i h o =− d i d o m= h i h o =− d i d o
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