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OpenStudy (anonymous):
Physics
For a 225-Watt bulb, the intensity I of light in lumens at a distance of x feet is I = 225/x^2.
a. What is the intensity of light 5 ft from the bulb?
b. Suppose your distance from bulb doubles. How does the intensity of the light change? Explain.
OpenStudy (anonymous):
@TuringTest
OpenStudy (anonymous):
@electrokid
OpenStudy (anonymous):
considering the light bulb to be a point source, the light is dispersed in all directions. hence, the points with same power or intensity form a sphere.
Total power of the bulb is spead over the entire surface area of the cube.
Intensity of light = power per unit area
OpenStudy (anonymous):
that is why you have that equation.
\[I={P\over x^2}\]
plug in the value for P and x and calculate I
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OpenStudy (anonymous):
for part b, the question says, that "x" gets doubled. what do you think will happen?
OpenStudy (anonymous):
x ^2
OpenStudy (anonymous):
How can i find x?
OpenStudy (anonymous):
read the question. it tells you what "x" is
OpenStudy (anonymous):
5 ft?
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OpenStudy (anonymous):
yep
OpenStudy (anonymous):
When it says x doubles, do i have to do x squared?
OpenStudy (anonymous):
yes
but what will be "x"?
OpenStudy (anonymous):
for part a I = 225/5 or I=225/5^2
OpenStudy (anonymous):
you know the answer for that.
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OpenStudy (anonymous):
is it I=225/5^2 which equals 9
OpenStudy (anonymous):
good.
OpenStudy (anonymous):
ok, and for part b how can i do it? so x is 25, does that mean i should double it?
OpenStudy (anonymous):
"x" is what?
OpenStudy (anonymous):
25. because x^2 and x was 5
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OpenStudy (anonymous):
"x" is still "5"
OpenStudy (anonymous):
\(x^2=25\) and \(x=5\) are two different things.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
If you got 5 bucks and your uncle doubled it, how much would you have?
OpenStudy (anonymous):
10 lol
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