A convex mirror produces a magnification of 1 2


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A convex mirror produces a magnification of 1/2 when the object is placed at a distance of 60 cm from it . where should the object be place so that size of the image becomes 1/3 of the object​

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Answer:

The object should be placed in front of the mirror, at a distance of 120 cm from it.

Explanation:

m = + 1/2

u = -60 cm

So,

-v/u = + 1/2

or v = -u/2 = -(-60)/2 = 30 cm

1/f = 1/v + 1/u

1/f = 1/30 - 1/60 = (2-1)/(60) = 1/60

Therefore, f = + 60 cm

Now, m = + 1/3

-v/u = 1/3

-v = u/3

v = -u/3

1/f = 1/v + 1/u

1/60 = 1/-u/3 + 1/u = -3/u + 1/u = (-3+1)/u = -2/u

u = -2*60 = -120 cm

u = -120 cm

Therefore, the object should be placed in front of the mirror, at a distance of 120 cm from it.


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