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Myopia

A nearsighted...

Question

A nearsighted person cannot clearly see beyond 200 cm. Find the power of the lens needed to see objects at large distances.

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Solution

For a near-sighted person, u = ∞.
Now, we have:
v = – 200 cm = – 2 m
The lens formula is given by
$\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$
On putting the respective values, we get:
$\frac{1}{f} = \frac{1}{(- 2)} - \frac{1}{\infty} = - \frac{1}{2}$
∴ Power of the lens = $\frac{1}{f}$ = – 0.5 D

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