To determine the distance of the image, we can use the magnification equation, which is given by:
Magnification = - image distance / object distance
Since the magnification is 23, we can write the equation as:
23 = - image distance / 14 cm
To find the image distance, we rearrange the equation and solve for it:
Image distance = -23 * 14 cm = -322 cm
Since the image distance is negative, it means that the image is formed on the same side of the lens as the object. Thus, the correct answer is:
a) 322 cm
