A converging lens has a focal length of 19.1 cm. Give the image distance and mag

Question

A converging lens has a focal length of 19.1 cm. Give the image distance and magnification for the following object distances, using the correct sign conventions. Select a options that correctly de the image. If the image is located at infinity, enter "infinity" for the image distance and for the magnification, and select "no image is formed (a) object distance 40.9 cm image distance 232 Your response differs from the correct answer by more than 100%. Cm magnification 3232 The response you submitted has the wrong sign.x

Explanation / Answer

from the lens formula

1/f = 1/p + 1/q

1/q = 1/f- 1/p

=1/19.1 - 1/40.9

q = 35.83 cm

magnification

m = -q/p = -35.83 cm/40.9 cm =- 0.876

when object distance p = 10 cm

1/f = 1/p + 1/q

1/q = 1/f- 1/p

=1/19.1 - 1/10.6

q = -23.81 cm

magnification

m = -q/p = -(-23.81 cm/10.6 cm =2.24

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