Problem 25.09 You want to take a full-length photo of your friend who is 1.86 m
ID: 1602127 • Letter: P
Question
Problem 25.09
You want to take a full-length photo of your friend who is 1.86 m tall, using a 35.0 mm camera having a 50.0 mm lens. The image dimensions of 35.0 mm film are 24.0 mm × 36.0 mm and you want to make this a vertical photo in which your friend's image completely fills the image area.
Part A
How far should your friend stand from the lens?
Express your answer with the appropriate units.
Part B
How far is the lens from the film?
Express your answer with the appropriate units.
Problem 25.09
You want to take a full-length photo of your friend who is 1.86 m tall, using a 35.0 mm camera having a 50.0 mm lens. The image dimensions of 35.0 mm film are 24.0 mm × 36.0 mm and you want to make this a vertical photo in which your friend's image completely fills the image area.
Part A
How far should your friend stand from the lens?
Express your answer with the appropriate units.
d=Part B
How far is the lens from the film?
Express your answer with the appropriate units.
s=Explanation / Answer
Let distance of friend from the lens = do
The magnification is,
m = hi / ho
Here, hi = 36 mm
ho = 1.86 m
m = -36.0*10^(-3) / 1.86 = -0.01935
m = -di / do
-0.01935 = -di / do
di = 0.01935*do
Apply the lens equation,
1 / di + 1 / do = 1 / f
1 / 0.01935*do + 1/ do = 1 / 50*10^(-3)
1.01935 / 0.01935*do = 1 / 50*10^(-3)
do = 2.63 m
(b)
distance of lens from the film,
di = 0.01935*2.63
di = 5.094 cm
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