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 magnitude of the distance of the image to the lens.
A)10 cm
B)20 cm
C)6.7 cm
D)5.2 cm
E)8.5 cm

Question

Quizplus · Accepted Answer

Since the lens is diverging, the image formed will always be virtual and upright. Using the lens formula, 1/f = 1/u + 1/v, where f is the focal length, u is the distance of the object from the lens, and v is the distance of the image from the lens:
1/20 = 1/10 + 1/v
Solving for v, we get:
v = 6.7 cm
Therefore, the magnitude of the distance of the image to the lens is 6.7 cm. Hence, the correct answer is option C.

A Diverging Lens Has a Focal Length of Magnitude 20