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 p_s = + 22 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 38 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. (a) Number Units (b) Number Units (c) Number Units (d) (e) (f)

Explanation / Answer

From the given question,

object distance(u)=-22cm

type of mirror=concave

focal length(f)=-38cm

a) Radius of curvature(R)=2f= 2 x -38cm= -76cm

b)image distance(v)=v

1/u + 1/v =1/f

1/(-22) +1/v = 1/(-38)

1/v= 1/22 - 1/38

v= (38x22)/(38-22)=52.25

image distance is 52.25cm behind mirror.

c) lateral magnification= -v/u= -(52.25)/(-22)=2.375

d)Image is virtual

e)Image is non inverted

f)Image is formed on opposite side of mirror.

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