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The power of a combination of two lenses XY is $5 D$ . If the focal length of lens X is $15 cm$ . Choose the correct statement about lens Y.

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Lens Y is a concave lens, and its power is

\frac{5}{3} D

Lens Y is a concave lens, and its power is

- \frac{5}{3} D

Lens Y is a convex lens, and its power is

\frac{5}{3} D

Lens Y is a concave lens, and its power is

- \frac{5}{3} D

answer is B.

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Detailed Solution

Lens Y is a concave lens, and its power is

- \frac{5}{3} D

Power of lens X = \frac{1}{Focal length of lens (in m)}

P_{X} = \frac{100}{15} D

Power of combination of lenses

= + 5 D

\Rightarrow

P_{X} + P_{Y} = + 5 D

\Rightarrow

\frac{100}{15} D + P_{Y} = + 5 D

\Rightarrow

P_{Y} = + 5 D - \frac{100}{15} D

\Rightarrow

P_{Y} = - \frac{5}{3} D

The power of the lens is negative.

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The power of a combination of two lenses XY is 5D. If the focal length of lens X is 15 cm. Choose the correct statement about lens Y.

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The power of a combination of two lenses XY is $5 D$ . If the focal length of lens X is $15 cm$ . Choose the correct statement about lens Y.