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Anestetic [448]
3 years ago
13

A camera phone called the iPhone X has an image sensor size of 5 mm and a focal length of 4 mm. How long of a selfie-stick must

you use to take a picture of you and Liz Cambage of the Las Vegas Aces who stands at 2.032 meters and not be cropped (i.e., the image size can't exceed 5 mm)?
Physics
1 answer:
azamat3 years ago
4 0

Answer:

length of selfie-stick is 1.62 m

Explanation:

Given data

image size h1 = 5 mm = 5 ×10^{-3} m

focal length = 4 mm = 4 ×10^{-3} m

distance h2 = 2.032 m

to find out

How long of a selfie-stick

solution

here we find first magnification

that is M = h1 /h2

M = 5 ×10^{-3} / 2.032

M = 2.46 ×10^{-3}

and we know M = p/q

so p = Mq = 2.46 ×10^{-3} q

so we apply lens formula

1/f = 1/p - 1/q

1/ 4 ×10^{-3} = 1 / 2.46 ×10^{-3}  q - 1/q

q = 1.622 m

so length of selfie-stick is 1.62 m

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