Identical objects are located at the same distance from two spherical mirrors, A

Question

Identical objects are located at the same distance from two spherical mirrors, A and B. The magnifications produced by the mirrors are mA = 4.10 and mB = 1.60. Find the ratio fA/fB of the focal lengths of the mirrors. Identical objects are located at the same distance from two spherical mirrors, A and B. The magnifications produced by the mirrors are mA = 4.10 and mB = 1.60. Find the ratio fA/fB of the focal lengths of the mirrors. Identical objects are located at the same distance from two spherical mirrors, A and B. The magnifications produced by the mirrors are mA = 4.10 and mB = 1.60. Find the ratio fA/fB of the focal lengths of the mirrors.

Explanation / Answer

mA = - (i / o ) = 4.10

i = - 4.10o

Using lens equation,

1/f = 1/i + 1/o

1/fa = 1/(-4.10o) + 1/0

fa = 1.322o

for B:

- (i' / o ) = 1.60    (o (obeject distance are same)

i' = -1.60o

1/fb = 1/(-1.60) + 1/o

fb= 2.67o

fA / Fb = 1.332o / 2.667o = 0.495 Or 0.5

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