Two converging lenses having focal lengths of f1 = 12.5 cm and f2 = 19.5 cm...

Two converging lenses having focal lengths of f₁ = 12.5 cm and f₂ = 19.5 cm are placed a distance d = 48.5 cm apart as shown in the figure below. The image due to light passing through both lenses is to be located between the lenses at the position x = 32.5 cm indicated.

Four objects are arranged along a horizontal line. From left to right, they are:

An arrow, labeled "Object", begins on the line and points upward;
A converging lens, labeled f₁, is centered on the horizontal line so that the line passes through the widest part of the lens;
A point labeled "Final image position";
A converging lens, labeled f₂, is centered on the horizontal line so that the line passes through the widest part of the lens.

The horizontal distance between the object and lens f₁ is p. The horizontal distance between lens f₁ and the final image position is x. The horizontal distance between lens f₁ and lens f₂ is d.

(a) At what value of p should the object be positioned to the left of the first lens?
cm

(b) What is the magnification of the final image?

Expert Solution

genius_generous answered 2 years ago

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