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Q.

A convex lens is in contact with concave lens. The magnitude of the ratio of their focal length is 3 2 . Their equivalent focal length is 30 cm. What are their individual focal lengths?

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a

75, 50

b

15,10  

c

75,50

d

10,15

answer is D.

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Detailed Solution

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Let focal length of convex lens is , + f then focal length of concave lens would be -3f2

130=1f23f=13f

 From the given condition,  f=10cm

Therefore, focal length of convex lens = +10cm and that of concave lens = -15cm

Note Since the combination is behaving like a convex lens (as F is positive)

Hence, power of convex lens is more or its focal length is less.

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