) Two lenses are centered on and perpendicular to the optic axis and separated b

Question

) Two lenses are centered on and perpendicular to the optic axis and separated by 10 cm. An object is located 20 cm in front of the first lens which has a focal length of +10 cm. The second lens has a focal length of -20 cm.
Calculate the position of the final image (measured from the second lens).
Is this final image real or virtual? ) Two lenses are centered on and perpendicular to the optic axis and separated by 10 cm. An object is located 20 cm in front of the first lens which has a focal length of +10 cm. The second lens has a focal length of -20 cm. ) Two lenses are centered on and perpendicular to the optic axis and separated by 10 cm. An object is located 20 cm in front of the first lens which has a focal length of +10 cm. The second lens has a focal length of -20 cm.
Calculate the position of the final image (measured from the second lens). Calculate the position of the final image (measured from the second lens).
Is this final image real or virtual? Is this final image real or virtual?

Explanation / Answer

first lens

1/i + 1/o = 1/f

1/i + 1/20 = 1/10

1/i = 1/10 - 1/20 = 1/20

i = 20 cm

this acts as object for second lens

o = 20-10 = 10 cm

1/i + 1/o = 1/f

1/i + 1/10 = 1/-20

1/i = -1/10 - 1/20 = -3/20

i = -20/3 = -6.67 cm

virtual

so this is 6.67 cm to the right of second lens

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