Reflection of a object created in a mirror is a linear magnification 2.5. What is the point
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Given:
The magnification of the mirror m= 2.5
To find:
The focal length that is the point.
Solution:
Let the height of object= u
The height of image = v
Using the magnification formula
m= -v/u
2.5=-v/u or 2.5/v=-1/u
Now using the lens formula
1/f=1/v-1/u
1/f=1/v+2.5/v
1/f=3.5/v
f=v/3.5
So, the point is f=v/3.5
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