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· · You are taking a photograph of a poster on the wall of
Chapter 27, Problem 11P(choose chapter or problem)
You are taking a photograph of a poster on the wall of your dorm room, so you can’t back away any farther than 3.0 m to take the shot. Tire poster is 0.80 m wide and 1.2 m tall, and you want the image to fit in the 24-mm × 36-mm frame of the film in your camera. What is the longest focal length lens that will work?
Questions & Answers
QUESTION:
You are taking a photograph of a poster on the wall of your dorm room, so you can’t back away any farther than 3.0 m to take the shot. Tire poster is 0.80 m wide and 1.2 m tall, and you want the image to fit in the 24-mm × 36-mm frame of the film in your camera. What is the longest focal length lens that will work?
ANSWER:
Step 1 of 3
Here we need to find the longest focal length of the lens which can be used for a given case.
Given data,
Object height, \(h_{o}=1.2 \mathrm{~m}\)
Image height, \(h_{i}=-36 \mathrm{~mm}=-36 \times 10^{-3} \mathrm{~m}\)
Object distance, \(d_{0}=3 m\)
To find,
Focal length, \(f=?\)
First we need to derive the equation for focal length of the lens in terms of given parameters.