Question

Two identical diverging lenses are separated by 14 cm. The focal length of each lens is -9.5 cm. An object is located 3.9 cm to the left of the lens that is on the left. Determine the final image distance relative to the lens on the right

Answer #1

D = distance between two lens = 14 cm

for the left diverging lens :

f = - 9.5 cm

d_{o} = object distance = 3.9 cm

d_{i} = image distance = ?

using the lens equation

1/d_{o} + 1/d_{i} = 1/f

1/3.9 + 1/d_{i} = 1/(-9.5)

d_{i} = - 2.76 cm

for the diverging lens on right

f = - 9.5 cm

d_{o} = object distance = 2.76 + 14 = 16.76 cm

d_{i} = image distance = ?

using the lens equation

1/d_{o} + 1/d_{i} = 1/f

1/16.76 + 1/d_{i} = 1/(-9.5)

d_{i} = - 6.06 cm

so the image is 6.06 on the left of right diverging lens

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