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When the distance from a light source is doubled, the light intensity at that point will:Select one:a.Doubleb.Stay the samec.Reduce to one quarterd.Halve

Question

When the distance from a light source is doubled, the light intensity at that point will:

Select one:

  • a. Double
  • b. Stay the same
  • c. Reduce to one quarter
  • d. Halve
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Solution

Break Down the Problem

  1. Identify the relationship between distance from a light source and light intensity.
  2. Understand the inverse square law of light intensity.

Relevant Concepts

  1. The inverse square law states that the intensity of light (I) from a point source is inversely proportional to the square of the distance (d) from the source: I1d2 I \propto \frac{1}{d^2}

Analysis and Detail

  1. If the distance from the light source is doubled (2d), the new intensity (I') can be calculated as follows: I1(2d)2=14d2 I' \propto \frac{1}{(2d)^2} = \frac{1}{4d^2}
  2. Comparing the new intensity (I') with the original intensity (I), we have: I=14I I' = \frac{1}{4} \cdot I Thus, the intensity reduces to one quarter of the original intensity when the distance is doubled.

Verify and Summarize

  1. By analyzing the relationship, we confirm that doubling the distance results in the intensity decreasing to one quarter of its original value.

Final Answer

The light intensity at that point will reduce to one quarter (option c).

This problem has been solved

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