Magnifying mirror produces upright virtual image 2.5 time as high as an object 24 cm in front of it. Radius?
Find the Radius of Curvature
Somebody is going to have to check my math (and proper equation usage), it has been a long time since I took physics.
given:
m = y'/y = -s'/s
1/s + 1/s' = 2/R
m = 2.5
y' > 0 (upright)
s = 24
Find R
therefore:
m = -s'/s => 2.5 = -s'/24 => s' = -60
1/s + 1/s' = 2/R => 1/24 + -1/60 = 2/R => 1/40 = 2/R => R = 80
The radius of the mirror is 80 cm.
(Also, I think the mirror is concave)
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