Spherical mirrors Object O stands on the central axis of a s

Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is p_2 = +18 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 13 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 non inverted, and (f) on the same side of the mirror as O or on the opposite side.

Solution

Answer:

We have position of object p = + 18 cm this means that mirror has a focal length with same sign as object F =+ 13 cm

(a) R = + 2 F = + 26 cm

(b) 1/F = 1/q + 1/p

1/(+13) = 1/(+18) + 1/q

q = - 46.8 cm

(c) m = - q/p = - (-46.8)/18 = 2.6

(d) virtual

(e) non inverted

(f) opposite side of mirror