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Electric Charges And Fields

Question
CBSEENPH12039136

A convex lens of focal length 25 cm is placed coaxially in contact with a concave lens of focal length 20 cm. Determine the power of the combination. Will the system be converging or diverging in nature?         

Solution

Given, a convex lens placed coaxially in contact with a concave lens. 
Power of convex lens, P1fraction numerator 1 over denominator plus space straight f subscript 1 end fraction space equals space fraction numerator 100 over denominator f subscript 1 left parenthesis space i n space c m right parenthesis end fraction space equals space fraction numerator 100 over denominator plus 25 end fraction space equals space 4 D
Power of concave lens, P2fraction numerator 1 over denominator plus space straight f subscript 2 end fraction space equals space fraction numerator 100 over denominator f subscript 2 left parenthesis space i n space c m right parenthesis end fraction space equals space fraction numerator 100 over denominator negative 20 end fraction space equals space minus 5 space D

So, Power of combination, P = P1 + P
                                                       =  4 D space plus space left parenthesis negative 5 D right parenthesis
                                                      equals space minus 1 D
Since, power has negative magnitude; system of lenses is diverging in nature.