18.
The focal length of a convex lens is 50 cm. If an object is kept at a distance
of 75 cm from the lens, then find the image distance and magnification
produced by the lens.
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Explanation:
Focal length "f" = 50 cm
Distance of object = 75 cm
Image distance can be found by using lens formula.
The formula is
1/f = 1/u - 1/v
We have f = 50, u = -75
1/50 = 1/(-75) - 1/v
1/50 + 1/75 = - 1/v
3+2 / 150 = - 1/v
1/v = 1/30
v = -30
Magnification is M=-v/u
M = 30 / 75
M = 0.4
Hence the distance of image is v = -30 and magnification is 0.4.
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