More mirrors. Object O stands on the central axis of a spherical or plane mirror

Question

More mirrors. Object O stands on the central axis of a spherical or plane mirror. For this situation (see the table below, all distances are in centimeters), find (a) the type of mirror (concave or convex), (b) the focal distance f, (c) the radius of curvature of the mirror (including sign), (d) image distance (including sign), whether (e) the image is real or virtual, (f) inverted (I) or noninverted (NI) from O, and (g) on the same side of the mirror as object O or on the opposite side Type R/V I/NI Side +36 0.41 (b) Number (c) Number (d) Number Units Units Units

Explanation / Answer

p = + 36

m = - 0.41

i = - p / m

i = 36 /0.41

i = 87.8 cm

1 / i + 1/ p = 1/ f

1 / 87.8 + 1 / 36 = 1 / f

f = 25.53 cm

r = 2 f

r = 2 X 25.53

r = 51.06 cm

f    r              p          i          m              R/V              I / NI                       side

25.53      51.06        +36      87.8         -0.41          R                  I                       Opposite

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