Final answer:
The minification gain of an image intensifier with a 15-inch input phosphor and a 1-inch output phosphor is calculated using the formula of the square of the ratio of the diameters which results in a gain of 225.
Step-by-step explanation:
The question refers to calculating the minification gain of an image intensifier, a device used in radiology to enhance the brightness of images produced by X-rays. The minification gain is calculated using the diameters of the input and output phosphors of the image intensifier. The formula for minification gain is the square of the ratio of the input phosphor diameter to the output phosphor diameter:
Minification Gain = (Diameter of Input Phosphor / Diameter of Output Phosphor)^2
Given the input phosphor diameter of 15 inches and the output phosphor diameter of 1 inch, we calculate the minification gain as follows:
Minification Gain = (15 / 1)^2 = 15^2 = 225
Therefore, the minification gain is 225, which means that the image on the input phosphor has been reduced in size by a factor of 225 times when projected on the output phosphor.