A person can see clearly only the objects situated in the range \( 50 \mathrm{~cm} \) to \( 300 ...

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A person can see clearly only the objects situated in the range \( 50 \mathrm{~cm} \) to \( 300 \mathrm{~cm} \). He went to an optometrist who prescribed him a lens of certain power to increase the maximum distance of his vision to infinity, i.e., it corrected the near-sightedness. However, upon using the prescribed lens the person discovered that the near point of his vision has shifted from \( 50 \mathrm{~cm} \) to a - distance \( d \) . What is the value of d? [NTSE 2016]
a. \( 60 \mathrm{~cm} \)
b. \( 100 \mathrm{~cm} \)
c. \( 40 \mathrm{~cm} \)
d. \( 500 \mathrm{~cm} \)
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