An object is placed at a distance of 40 cm from a thin,convex lens along its axis.The lens has a focal length of 10 cm.What are the values,respectively,of the image distance and magnification?
A) 13.3 cm and −0.33
B) 13.3 cm and 0.33
C) 60 cm and 2.0
D) 60 cm and −0.50

Question

Quizplus · Accepted Answer

We can use the thin lens formula to determine the image distance:

1/f = 1/do + 1/di

where f is the focal length of the lens, do is the object distance, and di is the image distance.

Plugging in the given values, we get:

1/10 = 1/40 + 1/di

Solving for di, we get:

di = 13.3 cm

To find the magnification, we can use the formula:

m = -di/do

Plugging in the values we get:

m = -13.3/40 = -0.33

Therefore, the answer is A) 13.3 cm and −0.33.

An Object Is Placed at a Distance of 40 Cm