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a man holds a spherical shaving mirror of radius of curvature 60cm and focal length 20cm at a distance of 15 cm from his noise find the position of image and calculate the magnification
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Radius of curvature, R = -60cm (concave mirror)
F = -30cm, u = -15cm
We have
1/v + 1/u = 1/f
1/v + 1/-15 = 1/-30
1/v = 1/15 + 1/-30
1/v = 1/30
V = 30 cm
m = - (v/u)
m = - (30/-15)
m = 2
so, the image is formed 30 cm behind the mirror and the magnification is +2.
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