An object is located 4 cm from a converging lens of focal length 3 cm.The magnitude of the magnification of the image is
A)3
B)4
C)9
D)12
E)16

Question

Quizplus · Accepted Answer

The magnification (M) of a lens is given by the formula M = -d_i / d_o, where d_i is the image distance and d_o is the object distance. First, we need to find the image distance (d_i) using the lens equation: 1/f = 1/d_o + 1/d_i. Plugging in the given values (f = 3 cm, d_o = 4 cm), we get 1/3 = 1/4 + 1/d_i, which simplifies to 1/d_i = 1/3 - 1/4 = 1/12. Therefore, d_i = 12 cm. The magnitude of the magnification is |M| = |-d_i / d_o| = |-12 / 4| = 3.

An Object Is Located 4 Cm from a Converging Lens