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Question

A concave mirror produces three times enlarged image of an object placed 10cm in front of it. Calculate the focal length of the mirror -vu.


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Solution

Step 1: Given data

m(magnification power) = +3

u(object distance) = -10cm (taken negatively because it is on the left side )

Step 2: Formulae used

From magnification formula m= -vu

From mirror formula 1v+1u=1f

Step 3: Solution

On substituting values in the magnification formula:

v=-(3)(-10)=(30)cm

From mirror formula

1v+1u=1f130+1-10=1f-230=1ff=-15cm

The focal length of the mirror is 15cm.


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