A person has been using spectacles of power –1.0 D for distant vision and a separate reading glass of power 2.0 D. What is the least distance of distinct vision for this person [2023]

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Solution

Q.
A person has been using spectacles of power –1.0 D for distant vision and a separate reading glass of power 2.0 D. What is the least distance of distinct vision for this person [2023]

1 10 cm

2 40 cm

3 30 cm

4 50 cm

Ans.
(4)

$\frac{1}{v} - \frac{1}{u} = \frac{1}{f}, P = 2 D$

$\Rightarrow \frac{1}{f} = \frac{2}{100} {cm}^{- 1}$

$\frac{1}{v} - (- \frac{1}{25}) = \frac{2}{100}$

$\Rightarrow \frac{1}{v} = \frac{1}{50} - \frac{1}{25} \Rightarrow v = - 50 cm$

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