Chapter 34, Problem 017 More mirrors. Object O stands on the central axis of a s

Question

Chapter 34, Problem 017 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 radilus of curvature r (nonzero number or O 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. Concave 21 (a) Number (b) Number (c) Number Units Units Units Show Work is REQUIRED for this question: Open Show Work

Explanation / Answer

Given

spherical mirror because for plane mirror the radius of curvture is zero

concave mirror of

we have the relation 1/p + 1/i = 1/f = 2/R

focal length f = 21 cm ==> R = 2*f = 2*21 = 42 cm

a. 42 cm

b. p = 11 cm infront of focal point

1/p + 1/i = 1/f

1/i = 1/f -1/p

1/i = 1/21 -1/11

i = -23.1 cm

c. lateral magnification is m = -i/p = - (-23.1)/11 = 2.1

d. the image is virtual forms on the other side

e. the image is non inverted image

f. image formed on the other side of the mirror

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