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solniwko [45]
3 years ago
11

What is the focal length of a concave mirror that magnifies, by a factor of +3.2, an object that is placed 30 cm from the mirror

?
A. 23cm
B. 32cm
C. 44cm
D. 46cm
Physics
1 answer:
vazorg [7]3 years ago
8 0

Answer:

C. 44 cm

Explanation:

We can solve the problem by using the lens equation:

\frac{1}{f}=\frac{1}{p}+\frac{1}{q}

where

f is the focal length

p = 30 cm is the distance of the object from the mirror

q is the distance of the image from the mirror

We also know that the magnification is

M=-\frac{q}{p}=+3.2

So

q=-3.2p=-3.2(30)=-96 cm

Substituting into the first equation, we find f:

\frac{1}{f}=\frac{1}{30}-\frac{1}{96}=0.0229 cm^{-1} \rightarrow f=43.7 cm \sim 44 cm

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