The height of streetlight position to have the same illumination on the ground under the lamp.
Answer to Problem 70A
Explanation of Solution
Given:
The height of the streetlight bulbs above the ground is
Streetlight contains two identical bulbs that means the luminous intensity
One of the two lamps is removed.
Formula used:
From the inverse square law of illumination, illuminance
Where
Calculation:
When one of the two bulbs is removed from the streetlight, luminous intensity is reduced to half of its initial intensity. That means
Substituting this in equation
This shows that the total illuminance on the ground is reduced to half of the initial illuminance (compared to equation
Hence, the height at which the streetlight should be positioned to have the same illumination on the ground under the lamp, if one of the two bulbs is removed is
Conclusion:
The height of streetlight position to have the same illumination on the ground under the lamp is
Chapter 16 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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