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Question

A thin concave and a thin convex lens are in contact. The ratio of the magnitude of power of two lenses is 2/3 and focal length of combination is 30cm, then the focal length of individual lenses are

A
15 cm, 10 cm
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B
75 cm, 50 cm
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C
50 cm, - 50 cm
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D
50 cm, 75 cm
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Solution

The correct option is C 15 cm, 10 cm
Let the power of thin concave lens be -2P and power of thin convex lens be 3P.
Hence 2P+3P=130
P=130cm1
Thus focal length of concave lens is 12P=15cm
Focal length of convex lens is 13P=10cm

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