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Wave Optics

Question
CBSEENPH12040102

A convex lens and a concave lens, each having same focal length of 25 cm, are put in contact to form a combination of lenses. The power in diopters of the combination is

  • 25

  • 50

  • infinite

  • zero

Solution

D.

zero

Focal length of combination of lenses placed in contact is
                       1 over straight F space equals space 1 over straight f subscript 1 space plus space 1 over straight f subscript 2
For convex lens,   straight f subscript 1 space equals space 25 space cm
For concave lens, straight f subscript 2 space equals space minus 25 space cm
Hence,         1 over straight F space equals space 1 over 25 plus fraction numerator 1 over denominator negative 25 end fraction
                                equals 1 over 25 minus 1 over 25 space equals space 0
therefore                           straight F space equals space 1 over 0 space equals space infinity
Hence, power of combination
                    straight P space equals space 1 over straight F space equals space 0 space straight D

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