A concave mirror has a radius of curvature of 24cm. It forms a real, inverted image of a candle 36cm in front of the mirror when the candle is placed on its principal axis.
(i) Calculate the focal length of the mirror.
(ii) Determine the distance of the candle from the mirror for the given image position.
(iii) The candle is now moved 8cm towards the mirror along the axis. Find the new image distance.
(iv) Compute the displacement of the image due to the movement of the candle and state whether the image moves towards or away from the mirror.