The radius of curvature of a concave spherical mirror is 25.5 cm. (Make sure to

Question

The radius of curvature of a concave spherical mirror is 25.5 cm. (Make sure to use the appropriate sign in your final answers.) Find the image distance and magnification if an object is placed 75.0 cm in front of the mirror? d_i = __________ cm M = __________ Is this Image real or virtual? real virtual Is it upright or inverted? upright inverted Find the image distance and magnification if an object is placed 25.5 cm in front of the same mirror? d_i = ___________ cm M = __________ Is this image real or virtual? real virtual Is it upright or inverted? upright inverted

Explanation / Answer

R = -25.5 cm
f = -25.5/2 = -12.75 cm ( concave mirror)

a. u = -75 cm
1/f = 1/v + 1/u
-1/12.75 = 1/v - 1/75
v = -15.361 cm ( left of mirror, image distance)
d = -15.861 cm
M = -v/u = -0.2048 ( real image)

Real image

Inverted

b) u = -25.5 cm
-1/12.75 = 1/v - 1/25.5
v = -25.5 cm = d
M = -v/u = -1

Real image

inverted

  

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