A 6.05-mm-high firefly sits on the axis of, and 10.3 cm in front of, the thin le

Question

A 6.05-mm-high firefly sits on the axis of, and 10.3 cm in front of, the thin lens A, whose focal length is 5.07 cm. Behind lens A there is another thin lens, lens B, with focal length 22.9 cm. The two lenses share a common axis and are 56.7 cm apart.

Is the image of the firefly that lens B forms real or virtual?

-Real

-Virtual

How far from lens B is this image located (expressed as a positive number)?

____________ cm

What is the height of this image (as a positive number)?

____________ mm

Is this image upright or inverted with respect to the firefly?

-Upright

-Inverted

THIS QUESTION HAS FOUR PARTS, PLEASE SHOW WORK

Explanation / Answer

The image is Real.

for the first lens,

(1/10.3)+(1/v)=(1/5.07)

or v = 9.98 cm

now u = 56.7 - 9.98 = 46.72

so,

(1/46.72)+(1/v)=(1/22.9)

or v =44.9 cm.

so it is situated at a distance of 44.9 cm from the lens B.

s/6.05 =(9.98/10.3)*(44.9/46.72)

or s = 5.63 mm

The image formed is upright.

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