1.) A concave spherical mirror has a radius of curvature of20.9 cm. Find the loc

Question

1.) A concave spherical mirror has a radius of curvature of20.9 cm. Find the location of the imagefor the following object distances. For each case, state whetherthe image is real or virtual and upright or inverted and find themagnification. (In each case, use the correct sign conventions forall answers. If the image is located at infinity, enter the wordinfinity for the image distance and for the magnification.) (a) object distance = 39.0 cm
image distance cm
magnification
X
real virtual upright inverted no imageis formed (a) object distance = 39.0 cm
image distance cm
magnification
X
real virtual upright inverted no imageis formed real virtual upright inverted no imageis formed

Explanation / Answer

Given that      R = 20.9 cm      f = R / 2 = 10.45 cm      do = 39.0 cm      di = ?      m = ? We know that        1 / f = 1 / do + 1 / di     ==> di = f * do / do - f                = 10.45 * 39 / 39.0 - 10.45                = 14.27 cm magnification m = - di / do                         = - 14.27 / 39.0                         = - 0.366 real, inverted if do > f

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