Spherical mirrors. Object O stands on the central axis of a spherical mirror. Fo

Question

Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is rho_s = +22 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 12 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m, Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. Number________ Units Number__________ Units Number__________ Units

Explanation / Answer

a)
f = 12 cm
R = 2*f
= 2*12
= 24 cm

b)
f = 12 cm
do = 22 cm
use:
1/f = 1/di + 1/do
1/12 = 1/di + 1/22
di = 26.4 cm
Answer: 26.4 cm

c)
m = -di/do
= -26.4/22
= -1.2

d)
SInce di is positive, image is real

e)
inverted since image is real

f)
real image are formed on the same side
So answer is same side

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