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?

Answer 1

a) 0.068rad

b) 0.11rad

Step-by-step explanation:

The explanation is given the the attached picture

Answer 2

Answer: a) 0.068 rad b) 0.1334 rad

Step-by-step explanation: Angular size is an apparent size of an object seen by an individual. To calculate it, in radians, the formula is:

θ =
`(S_(ap))/(l)`, where:

`S_(ap)` is the apparent size measured;

l is the distance between the object and the observer;

a) For you, the dime's angular size is

θ =
`(1.7)/(25)` = 0.068rad

b) For your uncle:

θ =
`(1.7)/(15)` = 0.1134rad

So, for your uncle, due to his myopia, the dime seems bigger than for you, who has normal vision.