A diverging lens has a focal length of magnitude 20 cm.An object is placed 10 cm in front of the diverging lens.Calculate the magnification of the image and whether it is upright or inverted.
A)0.67 upright
B)0.52 upright
C)0.67 inverted
D)1.5 upright
E)0.85 inverted

Question

Quizplus · Accepted Answer

The magnification (m) is given by the formula m = - (image distance/object distance). For a diverging lens, the image distance is negative. Using the lens formula 1/f = 1/v - 1/u, where f = -20 cm (since it's diverging), u = -10 cm (object distance is taken as negative in lens formula), we find v = -6.67 cm. Thus, magnification m = -(-6.67/-10) = 0.67, and since it's positive, the image is upright.

A Diverging Lens Has a Focal Length of Magnitude 20