A concave spherical mirror has a radius of curvature of 14.0 cm. Locate the imag

Question

A concave spherical mirror has a radius of curvature of 14.0 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 = 28.0 cm
? M =  , =cm

? 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 = 14.0 cm
? M =  , = cm  ---

?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 = 7.0 cm
?M =  , =cm

?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

Part A)

f = R/2 = 7 cm

Apply 1/f =1/p + 1/q

1/7 = 1/28 + 1/q

q = 9.33 cm

M = -q/p = -9.33/28

M = -.333

Thus the image is in front of the mirror, real, smaller, and inverted

Part B)

1/7 = 1/14 + 1/q

q = 14 cm

M = -q/p = -14/14

M = -1

Thus the image is in front of the mirror, real, the same size as the object, and inverted

Part C)

1/7 = 1/7 + 1/q

q = infinity

Thus no image is formed and you need to enter a "0" for image distance and magnification.

So d = 0 and M = 0

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