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, (b) the focal length of the mirror (including sign), (c) the radius of curvature r (nonzero number or O if infinity), (d) the image distance i, whether (e) the image is real or virtual, (f) inverted or noninverted 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 +7.8 -0.30 (b) Number (c) Number (d) Number Units Units Units

Explanation / Answer

a)

Concave

b)

Magnification

M=-i/p

=>i=-(-0.3)*(7.8)

i= 2.34 cm

From thin lens formula

1/f =1/i +1/p

1/f =1/2.34 +1/7.8

f =+ 1.8 cm

c)

radius of curvature

r=2f =2*1.8

r= + 3.6 cm

d)

Image distance

i=+2.34 cm

e)

Image is real since i>0

f)

Image is inverted

since magnification M<0

g)

real image is formed on the same side as the object

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