Solution: At what point from A on the line AB will the intensity of illumination be least?

At any distance x from the source of light, the intensity of illumination varies directly as the intensity of the source and inversely as the square of x. Suppose that there is a light at A, and another at B, the one at B having an intensity 8 times that of A. The distance AB is 4 m. At what point from A on the line AB will the intensity of illumination be least?

At what point from A on the line AB will the intensity of illumination be least?

Problem Statement: EE Board October 1993

At any distance x from the source of light, the intensity of illumination varies directly as the intensity of the source and inversely as the square of x. Suppose that there is a light at A, and another at B, the one at B having an intensity 8 times that of A. The distance AB is 4 m. At what point from A on the line AB will the intensity of illumination be least?

Problem Answer:

At 1.50 m from A on the line AB will the intensity of illumination be least

Solution:

Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES)


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