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Problem 23.18 Some rearview mirrors produce images of cars to your rear that are

ID: 1393502 • Letter: P

Question

Problem 23.18
Some rearview mirrors produce images of cars to your rear that are smaller than they would be if the mirror were flat.

Part A) What is a mirror's radius of curvature if cars 18.0({ m ;m}) away appear 0.37 their normal size? Follow the sign conventions. Express your answer to two significant figures and include the appropriate units.
Problem 23.18
Some rearview mirrors produce images of cars to your rear that are smaller than they would be if the mirror were flat.

Part A) What is a mirror's radius of curvature if cars 18.0({ m ;m}) away appear 0.37 their normal size? Follow the sign conventions. Express your answer to two significant figures and include the appropriate units.
Problem 23.18
Some rearview mirrors produce images of cars to your rear that are smaller than they would be if the mirror were flat.

Part A) What is a mirror's radius of curvature if cars 18.0({ m ;m}) away appear 0.37 their normal size? Follow the sign conventions. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

the formula for magnification is given as ::

m = -di/do

given in the question :: m = 0.37 and do = 18 m

so -di = m do

di = - m do = - (0.37) (18)

di = -6.66 m

Using the mirror equation ::

1/f = 1/di + 1/do

1/f = 1/(-6.66) + 1/(18)

f = - 10.57 m

radius of curvature is given as

R = 2f = 2 (-10.57) = -21.14 m

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