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 ps = +21 centimeters, the type of mirror is convex, and then the distance between the focal point and the mirror is 17 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.

Explanation / Answer

f = 17 cm , Ps = 21 cm

(a) R=2f

R = 2*17= 34 cm

(b)using mirror formula

1/v+1/u=1/f

1/v=1/f-1/u

=1/21-1/17

=89.25 cm

(c) lateral magnification m = -pi/ps

m = 89.25/21 = -4.25

(d) object and image both are in same side of mirror,

so it is real image

(e) m is negative,so it is inverted mage

(f) it is in the same side of mirror

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