A person has been using spectacles of power -1.0 dioptre for distant vision and a separate reading glass of power 2.0 dioptres. What is the least distance of distinct vision for this person

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50 cm

40 cm

30 cm

10 cm

answer is B.

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Detailed Solution

Focal length of convex lens (reading glass)
$\begin{array}{l} f = \frac{100}{2} = 50 cm \\ \frac{1}{v} - \frac{1}{u} = \frac{1}{f} \\ \Rightarrow \frac{1}{- x} - \frac{1}{- 25} = \frac{1}{50} \end{array}$
Near point of defect eye x=50 cm

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