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A concave spherical mirror has a radius of curvature of 7.00 cm. A) Calculate th

ID: 1271629 • Letter: A

Question

A concave spherical mirror has a radius of curvature of 7.00 cm.

A) Calculate the location of the image formed by a 5.00 mm-tall object whose distance from the mirror is 14.0 cm
s'1 = __________ cm

B) Calculate the location of the image formed by a 5.00 mm-tall object whose distance from the mirror is 7.0 cm
s'2 = __________ cm

C) Calculate the location of the image formed by a 5.00 mm-tall object whose distance from the mirror is 1.75 cm
s'3 = _____________ cm

D) Calculate the location of the image formed by a 5.00 mm-tall object whose distance from the mirror is 10.0 cm
s'4 = ___________cm

Explanation / Answer

f = R/2 = 7/2 = 3.5 cm

A)
1/s + 1/s' = 1/f

1/s' = 1/f - 1/s

1/s' = 1/3.5 - 1/14

s' = 4.67 cm
B)
1/s + 1/s' = 1/f

1/s' = 1/f - 1/s

1/s' = 1/3.5 - 1/7

s' = 7 cm
C)
1/s + 1/s' = 1/f

1/s' = 1/f - 1/s

1/s' = 1/3.5 - 1/1.75

s' = -3.5 cm
D)
1/s + 1/s' = 1/f

1/s' = 1/f - 1/s

1/s' = 1/3.5 - 1/10

s' = 5.38 cm

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