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A short sighted person can see objects most distinctly at a distance of 16 cm. If he wears spectacles at a distance of 1 cm from the eye, then their focal length to see distinctly at a distance of 26 cm

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25cm, convex

25 cm, concave

37.5 cm, convex

37.5 cm, concave

answer is D.

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Detailed Solution

$v = - (16 - 1) = - 15 cm \begin{array}{l} u = 26 - 1 = 25 cm and \frac{1}{f} = \frac{- 1}{15} + \frac{1}{25} = \frac{- 25 + 15}{25 \times 15} = \frac{- 10}{25 \times 15} \\ f = \frac{25 \times 15}{- 10} = 37 .5 cm \end{array}$

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