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91Ó°ÊÓ

A cheese enchilada is4.00cmin front of a converging lens. The magnification of the enchilada is-2.00. What is the focal length of the lens?

Short Answer

Expert verified

Focal length of the lens isf=2.67cm

Step by step solution

01

Listing the given quantities 

m=-2.0p=4.0cm

02

Understanding the concepts of magnification

We will use the relation between object distance, image distance, and focal length for the converging lens.

Formula:

1p+1i=1f

Magnification

m=-ip=HiHp

03

Calculation of the focal length of the lens

We have magnification as

m=-ip2p=i

Distance of the object isi=8.0cm

Now, to find focal length, we will use the following relation:

1f=1p+1if=10.375=2.67cm

Focal length of the lens isf=2.67cm

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