object placed at a distance of 30 cm from a concave lens of focal length 15cm find the position magnification and nature of image
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You should already know that a concave lens produces a virtual, erect diminished image. The only question is whereabouts? and how diminished?
Using Real Is Positive RIP Convention, u=30 and f=-15
1/u + 1/v = 1/f
1/30 + 1/v = -1/15
1/v = -1/15 - 1/30 = -3/30 = -1/10
v = -10 M=v/u = -1/3
So image is erect, virtual, 1/3 size of object, and 10 cm from the lens, (between lens and object)
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u = -30 cm , f = -15 cm , v = ? , m = ?
1/v - 1/u = 1/f
1/v = 1/f + 1/u
1/v = 1/-15 + 1/-30
1/v = 1/-15 - 1/30
= -2 - 1/30
= -3/30
v = 30/-3
v = -10 cm
m = v/u
m = -10/-30
m = 1/3
m = 0.33
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