The image formed by a convex mirror of radius of curvature 30cm is a quarter of the object. What's the distance of object from the mirror?
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Answered by
1
Answer:
answer is 90cm
Explanation:
The focal length of the convex mirror is f=30cm and the magnification of the image is m=1/4
We have to calculate the object distance u.
According to sign convention, the measurements along the direction of light are taken as positive and opposite to the light taken as negative. The transverse measurement above the principal axis is taken as positive and below the principal axis is taken as negative.
Thus, f=+30cm and m=+1/4=+0.25
Using formula, ,m = f/f-u
or mf - mu =f
or u = mf - f /m = m-1/mf =0.25 -1/0.25(30) =-90cm
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