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Answers
Explanation:
We have given;
radius of curvature = 20cm
magnification = 5
Image is virtual;
Formula to be applied;
Mirror formula : 1/f = 1/v + 1/u
Magnification : -v/u
In case of virtual image in mirror, v = +v.
From the magnification of the object, we can write;
-(+v)/u = 5
-v = 5u
v = -5u
Radius of curvature = 20cm
Thus, focal length = 20/2 = 10cm
Since, its concave mirror, thus focal length = -10cm;
Now, u or object distance equals;
1/f = 1/v + 1/u. (mirror formula)
1/(-10) = 1/(-5u) + 1/u
1/-10 = (-1 + 5)/5u
5u = 4 × (-10)
u = -40/5
u = -8 cm.
Its magnification is 5. Thus the image formed is 5 times larger than the object hieght. The image is virtual thus,
Magnification = +5.
That's all.
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