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The near point for your myopic uncle is 15 cm. Your own vision is normal; that is, your near point is 25 cm. Suppose you and your uncle hold
Question
The near point for your myopic uncle is 15 cm. Your own vision is normal; that is, your near point is 25 cm. Suppose you and your uncle hold dimes (which are 1.7 cm in diameter) at your respective near points.a. What is the dime’s angular size, in radians, according to you?b. What is the dime’s angular size, in radians, according to your uncle?
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4 years
2021-08-18T20:06:31+00:00
2021-08-18T20:06:31+00:00 2 Answers
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Answers ( )
Answer: a) 0.068 rad b) 0.1334 rad
Explanation: Angular size is an apparent size of an object seen by an individual. To calculate it, in radians, the formula is:
θ =
, where:
l is the distance between the object and the observer;
a) For you, the dime’s angular size is
θ =
= 0.068rad
b) For your uncle:
θ =
= 0.1134rad
So, for your uncle, due to his myopia, the dime seems bigger than for you, who has normal vision.
Answer:
a) 0.068rad
b) 0.11rad
Explanation:
The explanation is given the the attached picture