Key Equations

Sections
Key Equations

Key Equations

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
index of Refraction n=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
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