Energy/Light-Some problem set questions

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SUMMARY

The forum discussion centers on solving problems related to light intensity and distance using formulas from physics. Participants discuss two specific questions involving lamps with different intensities and distances, applying the formulas P=4πI and Eill=P/(4πd²) to find the required values. Key insights include the distinction between lumens and candelas, and the importance of understanding the round trip of light when calculating distance. The correct answers for the problems posed are confirmed by other users, emphasizing the need for clarity in applying physics principles.

PREREQUISITES
  • Understanding of light intensity and distance relationships in physics
  • Familiarity with the formulas P=4πI and Eill=P/(4πd²)
  • Knowledge of the difference between lumens and candelas
  • Basic principles of wave propagation and speed of light
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  • Study the derivation and application of the formula I=x/r² for light intensity
  • Learn about the relationship between lumens and candelas in lighting design
  • Explore practical applications of light intensity calculations in real-world scenarios
  • Investigate the effects of distance on illumination using different light sources
USEFUL FOR

Students and educators in physics, lighting designers, and anyone interested in understanding the principles of light intensity and its practical applications in various fields.

jefgreen
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Q1:

Two lamps illuminate a screen equally. The first lamp has an intensity of 12.5cd and is 3.0m from the screen. The second lamp is 9.0m from the screen. What is its intensity?

I know I need to use P=4*pi*(I), but there is no variable included for distance (d). Another formula given is: Eill=P/(4*pi*d^2). How should I go about solving this problem now?
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Q2:

A 15cd point source lamp provide equal illuminations on a wall. if the 45cd lamp is 12m away from the wall, how far from the wall is the 15cd lamp.

Again, there is no variable for distance in the equation: P=4*pi*I.
 
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d = v/t is wrong. It should be d = vt. Where did you get 343? you should be using the speed of light
 
For #1: d=vt.

d=(3x10^8m/s)(__t__)
What value would I use for t? I've tried everything...
 
bump. Please help me.
 
for #1, after you do the d = v * t using the speed of light, don't forget to halve the distance, since that's round trip.
 
What would my value for t be?
 
If the signal takes 0.003 seconds for the round trip, how long does it take to go up and how long does it take to come back down? :rolleyes:
 
half of 0.003?
 
The answer I have is: 450,000 or 4.5x10^5m

But, my instructor tells me the answer is 4.5x10^8
:confused:
 
  • #10
And is my answer for #2 correct?
 
  • #11
jefgreen said:
The answer I have is: 450,000 or 4.5x10^5m

But, my instructor tells me the answer is 4.5x10^8
:confused:

Then your instructor is wrong.

It's useful to have a sense of scale. Earth is 40 000 km in circumference. Low Earth orbit (where the Space Shuttle orbits) is around 300 km from the ground. Geosynchronous orbit, the highest useful orbit, is 36 000 km from Earth's center.
 
  • #12
So, my answer is correct?
 
  • #13
jefgreen said:
Find the illumination 8.0m below a 405lm lamp. The answer I received was: .504lx. Is this answer correct?
Yes.

Two lamps illuminate a screen equally. The first lamp has an intensity of 12.5cd and is 3.0m from the screen. The second lamp is 9.0m from the screen. What is its intensity?

I know I need to use P=4*pi*(I), but there is no variable included for distance (d). Another formula given is: Eill=P/(4*pi*d^2). How should I go about solving this problem now? Lastly, I am cognizant that 1lm=1cd.

First, a lumen is not equal to a candela. A candela measures power per steradian, whereas a lumen measures total power.

Are you aware of the formula I=x/r^2, where x is power/steradian?
 
  • #14
No, I'm not familiar with the latter formula. Is my answer to the Cape Canaveral question correct?
 
  • #15
Yes.
 
  • #16
Could you help me with my NEW #1 and 2 questions? Those are the last in the problem set our Physics teacher gave us.
 
  • #17
ideasrule said:
Yes.

Thank you so much :smile:.
 
  • #18
bump. Please help me with questions 1 and 2.
 
  • #19
bump. Help please..
 
  • #20
You should start a new thread if you want to ask new questions.
 

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