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The power of a combination of two lenses X and Y is 5 D. If the focal length of lens X be 15 cm : (a) calculate the focal length of lens Y. (b) state the nature of lens Y.

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The power of a combination of two lenses X and Y is 5 D. If the focal length of lens X be 15 cm :

(a) calculate the focal length of lens Y.

(b) state the nature of lens Y.

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(a) P = Px + PY

P = \(\frac{1}{f_x}\) + \(\frac{1}{f_Y}\)

5 = \(\frac{100}{15}\) + \(\frac{1}{f_Y}\)

\(\frac{1}{f_Y}\) = 5 - \(\frac{100}{15}\)

= \(\frac{-25}{15}\)

\(f_Y\) = -0.6 m = -60 cm

(b) Lens Y is a concave lens since it has negative focal length.

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