Chapter 34, Problem 022 More mirrors. Object O stands on the central axis of a s

Question

Chapter 34, Problem 022 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; the given value of fis a magnitude with unknown sign), find (a) the type of mirror, (b) the radius of curvature r (nonzero number or O if infinity), (c) the object distance p, (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 orn the opposite side. Type R/V I/NI Side 15.0 +0.300

Explanation / Answer

magnification positive indicates the image is upright image.

usually upright image forms by convex mirror(unless until if you place the object between F and P in concave mirror).

radius of curvature is 2f =30cm

we know that 1/u + 1/v =1/f and (m=v/u=0.3 therefore v=0.3u )substitute and gives the result as u=65cm and v=19.5cm

image is virtual and on the opposite side of the mirror.

observe the image formation of convex mirror.

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