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A concave spherical mirror has a radius of curvature of 20.0 cm. Locate the imag

ID: 1375523 • Letter: A

Question

A concave spherical mirror has a radius of curvature of 20.0 cm. Locate the image for each of the following object distances. (Enter 0 for M and the distance if no image is formed.)

(a) do = 40.0 cm
M =  ,
di =  cm,

and  ---Orientation--- in front of the mirror, real, and upright in front of the mirror, real, and inverted behind the mirror, virtual, and upright behind the mirror, virtual, and inverted no image is formed

(b) do = 20.0 cm
M =  ,
di =  cm,

and  ---Orientation--- in front of the mirror, real, and upright in front of the mirror, real, and inverted behind the mirror, virtual, and upright behind the mirror, virtual, and inverted no image is formed

(c) do = 10.0 cm
M =  ,
di =  cm,

and  ---Orientation--- in front of the mirror, real, and upright in front of the mirror, real, and inverted behind the mirror, virtual, and upright behind the mirror, virtual, and inverted no image is formed

Explanation / Answer

R = 20 cm

f = R/2 = 20/2 = +10cm

a) do = 40 cm

1/f = 1/do + 1/di

1/10 = 1/40 + 1/di

di = 13.33 cm

M = -di/do = -13.33/40 = 0.333

image is real, inverted, diminished and infront of the mirror

b) do = 20 cm

1/f = 1/do + 1/di

1/10 = 1/20 + 1/di

di = 20 cm

M = -di/do = -20/20 = +1

image is real, inverted, same size and infront of the mirror

c) do = 10 cm

1/f = 1/do + 1/di

1/10 = 1/10 + 1/di

1/di = 0

di cannot be determined

M = -di/do = cannot be determined

image is not formed

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