Chapter 34, Problem 019 More mirrors. Object O stands on the central axis of a s

Question

Chapter 34, Problem 019 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 object distance, (d) the magnification (including sign), whether (e) the image is real or virtual, (f) inverted (I) or noninvertec (NI) from O, and (9) on the same side of the mirror as object O or on the opposite side. Type f pm R/V I/N Side -40 -9.0 (b) Number (c) Number (d) Number Units Units Units

Explanation / Answer

a)

since r<0 then f<0 ,which means the mirror is convex

b)

f=r/2 =-40/2 =-20 cm

c)

From thin lens formula

1/f =1/p +1/i

-1/20 =1/p -1/9

p=16.36 cm

d)

M=-i/p =-(-9)/16.36

M=0.55

e)

since image distance is negative means image is virtual

f)

since M>0 ,image is not inverted (NI)

g)

opposite side

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