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.

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?
  • A. 2.15 m
  • B. 1.33 m
  • C. 1.50 m
  • D. 1.92 m

Problem Answer:

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

Solution:

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