A person cannot see any object placed beyond 50cm from his eye. Calculate the power of the lens which will enable him to see the distant stars clearly.
A
-1 D
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B
+1 D
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C
+2 D
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D
-2 D
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Solution
The correct option is D -2 D As the person cannot see the objects clearly beyond 0.5m, (or 50cm). He wants to see the distant stars clearly. To do so, he should use lens which forms the image of a distant object (u=−∞) at a distance of 50cm in front of it.
So, from lens formula,
1v−1u=1f ⇒1−50−1−∞=1f ⇒f=−50cm=−0.5m
or Power P = 1f=−10.5=−2D