A lens of focal length 20cm is used to produce a ten times magnified image of a film slide on a screen . how far must the slide be placed from the lens ?
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220 cm
Explanation:
Focal length = F = 20 cm
object distance = - u
image distance = v
magnification = m = -10 [- sign is used because the image is real since it is obtained on screen]
We know, m = v/ - u
-10 = v / - u
10u = v
using $$,$ 4
1/f = 1/v -1/ -u
1/20 = 1 /10u + 1/u
1/20 = 1 + 10 / 10u
10u/20 = 11
u = 22 cm
therefore, the object distance is 22 cm
now v = 10x22 = 220 cm
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