Physics Light, Vision & Optics Intensity 21357
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The illumination at a point is inversely proportional to the square of the distance of the point from the light source and directly proportional to the intensity of the light source. If two light sources are 30 feet apart and their intensities are 70 and 50 respectively, at what point will the sum of their illumination be minimum?

Â© BrainMass Inc. brainmass.com May 24, 2023, 1:26 pm ad1c9bdddf https://brainmass.com/physics/intensity/minimzation-21357
This shows how to find the minimum illumination from given light sources.

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Solution provided by:
Changping Wang, MA
Education BSc , Wuhan Univ. China MA, Shandong Univ. Recent Feedback
"Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain." "excellent work" "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!" "Thank you" "Thank you very much for your valuable time and assistance!"

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