A concave mirror with a radius of curvature of 40 cm is positioned in front of an illuminated point source at a distance of 30 cm from it. Determine the location of the image.

Step-by-step solution

Given, radius of curvature of the concave mirror, R = -40 cm Focal length, f = R 2 = -20 cm Object distance, u = -30 cm Using the mirror formula: 1 v + 1 u = 1 f 1 v + 1 -30 = 1 -20 1 v = 1 30 - 1 20 1 v = 2 - 3 60 = - 1 60 v = -60 cm The negative sign indicates that the image is formed in front of the mirror, which is on the same side as the object. Therefore, the image is located 60 cm from the mirror on the side of the object.