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

ID: 1564605 • Letter: M

Question

More mirrors. Object O stands on the central axis of a spherical or plane mirror. For this situation (The table below. All distances are in centimeters.) , find (a) the radius of curvature r (nonzero number or 0 if infinity), (b) the image distance i, (c) the lateral magnification m, whether (d) the image is real or virtual, (e) inverted or noninverted from O, and (f) on the same side of the mirror as object O or on the opposite side.

(a) (b) (c) (d) (e) (f) Type f r p i m R/V I/NI Side Concave 22 +11

Explanation / Answer

(a) ) r = 2f = 2(+22 cm) = +44 cm.

(b) The image distance is i = (1/f – 1/p) –1 = (1/22 cm – 1/11 cm)–1 = –22 cm

(c)  m = –i/p = –(–22 cm/11 cm) = +2.0.

(d)  The image is virtual (V).

(e)  The image is upright or not inverted (NI).

(f) A virtual image is formed on the opposite side of the mirror from the object.

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