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pter 23 Chapter 24-Fall 2017 PHYchapter 23.pdf chapter 24 pdf webcourses niu edu

ID: 1788218 • Letter: P

Question

pter 23 Chapter 24-Fall 2017 PHYchapter 23.pdf chapter 24 pdf webcourses niu edubb eswebda /chapte 24.2 PROBLEM TO WORK ON TOGETHER A tourist is taking photos of the Chicago bean ("Cloud Gate") from a distance of 200 m. The bean is 20.0 m long, and the image ends just fitting on the camera's 1.50 cm-long sensor. (We'll worry about the length and not the height) (a) What focal length lens was used? (b) What would be the size of the image if a lens of 32.0 mm focal length was used instead? (c) How close to the bean would the person have to be to capture the image on that 1.50-cm-long sensor using a 32.0-mm lens?

Explanation / Answer

(A) m = -q / p = - hi / ho

q / p = 1.50 / 2000

q = (7.5 x 10^-5) p


object distance, p = 200 m

image distance, q = (7.5 x 10^-4)(200) = 0.15 m

1/f = 1/p + 1/q

1/f = 1/0.15 + 1/200

f = 0.149 m Or 14.9 cm

(B) f = 0.032 m

1/0.032 = 1/200 + 1/q

q = 0.032

m = 0.032 / 200 = hi / 20

hi = 3.2 x 10^-3 m Or 3.2 mm

(C) 0.015 / 20 = q / p

q = 0.00075 p


1/f = 1/p + 1/q

1/0.032 = 1/p + 1/0.00075p

31.25 = (1 + 1333.33)/p  

p = 42.7 m