> ANSWER 20 INTENSITY OF ILLUMINATION The intensity of illumination I from a source of light varies inversely as the square of the distance d from the source. (a) Express I in terms of d and a constant of variation k. (b) A searchlight has an intensity of 1,000,000 candlepower at a distance of 50 feet. Find the value of k in part (a). (c) Sketch a graph of the relationship between I and d for d > 0. (d) Approximate the intensity of the searchlight in part (b) at a distance of 1 mile.
> ANSWER 20 INTENSITY OF ILLUMINATION The intensity of illumination I from a source of light varies inversely as the square of the distance d from the source. (a) Express I in terms of d and a constant of variation k. (b) A searchlight has an intensity of 1,000,000 candlepower at a distance of 50 feet. Find the value of k in part (a). (c) Sketch a graph of the relationship between I and d for d > 0. (d) Approximate the intensity of the searchlight in part (b) at a distance of 1 mile.
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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20 INTENSITY OF ILLUMINATION The intensity of illumination I from a source of light varies inversely as the square of the
distance d from the source.
(a) Express I in terms of d and a constant of variation k.
(b) A searchlight has an intensity of 1,000,000 candlepower at a distance of 50 feet. Find the value of k in part (a).
(c) Sketch a graph of the relationship between I and d for d > 0.
(d) Approximate the intensity of the searchlight in part (b) at a distance of 1 mile.
21 PERIOD OFA PENDULUM The period P of a simple pendulum–that is, the time required for one complete oscillation-is
directly proportional to the square root of its length l.
(a) Express P in terms of l and a constant of proportionality k.
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