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 = +27 centimeters, the type of mirror is convex, and then the distance between the focal point and the mirror is 35 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

here,

the object distance do = 27 cm

focal length , f = 37 cm

(a)

radius of curvature , r = 2 * f

r = 2 * 35

r = 70 cm

the radius of curvature is 70 cm

(b)

let the image distance be i

using the lens formula

1/f = 1/i + 1/do

1/35 = 1/i + 1/27

i = - - 118.13 cm

the image distance is - 118.13 cm

(c)

magnification , m = - i /do

m = 118.13/27

m = 4.38

the lateral magnification is 4.38

(d)

the image formed is virtual

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