Visitors at a science museum are invited to sit in a chair to the right of a ful

Question

Visitors at a science museum are invited to sit in a chair to the right of a full-length diverging lens (f1 = -2.50 m) and observe a friend sitting in a second chair, 2.30 m to the left of the lens. The visitor then presses a button and a converging lens (f2 = +3.60 m) rises from the floor to a position 2.40 m to the right of the diverging lens, allowing the visitor to view the friend through both lenses at once. Find the overall magnification of the friend when viewed through both lenses. Be sure to include the algebraic sign (+ or -) with your answers.

Explanation / Answer

Given,

Focal length, f = -2.5 m

Object distance, u = 2.3 m

Using lens formula, (1/f) = (1/u) + (1/v)

Image distance, v = -1.198 m

Magnification, m = -v/u = 0.52

B)

Focal length, f = 3.6 m

Object distance, u = 3.598 m

Using lens formula, we get v = 6476.4 m

Magnification, m = 6476.4 / 3.598 = 1800

Total magnification, M = 1800 X 0.52 = 936

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