Final answer:
The focal length of a makeup mirror with a power of 1.50 D is 0.67 meters. The formula for calculating focal length from power is f = 1/P, leading to the correct option being (a) 0.67 m.
Step-by-step explanation:
The question asks about a makeup mirror with a given power of 1.50 diopters (D) and what the focal length of that mirror would be. The formula used to find the focal length (f) when the power (P) is given is P = 1/f. Remember that power is inversely related to focal length and is expressed in diopters, which means that one diopter is equal to one inverse meter.
By rearranging the formula to solve for f, we get f = 1/P. Therefore, for a mirror with a power of 1.50 D, the focal length is given by f = 1/1.50 meters. Calculating this we get that the focal length is 0.67 meters. So, the correct option is: (a) 0.67 m. This means that the makeup mirror with a power of 1.50 D has a focal length of 0.67 meters, which allows the mirror to magnify the image accordingly for makeup application purposes.