an object is placed 18cm in front of spherical mirror. if the image is formed at 4cm to the right of the mirror calculate its focal lenght is the mirror concave or convex what is the nature of image?what is the radius of curvature of the mirror?
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u = - 18 cm
v = 4 cm
1 / f = 1 / v + 1 / u
1 / f = 1 / 4 + 1 / (- 18)
1 / f = 1 / 4 - 1 / 1 8
1 / f = 9 - 2 / 36 = 7 / 36
f = 36 / 7 cm
focal length is positive so mirror is convex.
R = 2 × 36 / 7
= 72 / 7
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