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Chapter 5: Q1E (page 1151)

A candle4.85cm tall is39.2cm to the left of a plane mirror. Where is the image formed by the mirror, and what is the height of this image?

Short Answer

Expert verified

The distance of the image from the candle is 4.85cm.

Step by step solution

01

Calculate the point where image is formed

Given that y=4.85cmand s=39.2cm.

In case of plane mirrors, the distance of the image from the mirror is same as distance of the object from the mirror.So, the distance of the image is 39.2cm.

02

Calculate the height from magnification

The ratio of the distance of the object to distance of the image is called the lateral magnification. It is given by

m=-s's=-39.239.2=-1

Also, the lateral magnification is of the formm=-y'y , wherey is the height of the object andy' is the height of the image. So,

y'=myy'=-1×4.85y'=4.85cm

So, the distance of the image from the candle is 4.85cm.

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