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Chapter 34: Q. 77 (page 994)

A 2.0cmtall object is placed in front of a mirror. A 1.0cmtall upright image is formed behind the mirror, 150cmfrom the object. What is the focal length of the mirror?

Short Answer

Expert verified

The focal length of the mirror is1m.

Step by step solution

01

Given information

We have given,

Height of the object = 2cm

Height of the image = 1cm

distance between he object and image = 150cm

We have to find the focal length of the mirror.

02

Simplify

Magnification of the mirror

m=HeightoftheimageHeightoftheobject=h'h=12m=-imagedistanceobjectdistance=-vuu=-2v

we know that

v-u=150cm

then,

v+2v=150v=50cmu=-100cm

Using mirror equation

localid="1649081898164" 1f=1v+1u1f=150+1-100f=100cm=1m

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