Answered: You need to replace the light bulb in…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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You need to replace the light bulb in your bedroom. Your roommate bought an incandescent bulb from Target. The bulb consumes 90 watts of electrical power and provides 10 lumens for every Watt of electric power. You ordered another incandescent bulb from Amazon. This bulb consumes 100 watts of electrical power and provides 12 lumens for every Watt of electric power. Please calculate the intensity of both bulbs.

Expert Solution

Step 1

Given that,

the electric power of the first bulb is $P_{1} = 90 (W)$

And the output in each watt is $ρ_{1} = 10 (l u m e n / W)$

the electric power of the second bulb is $P_{2} = 100 (W)$

And the output in each watt is $ρ_{2} = 12 (l u m e n / W)$

So the total output due to the first bulb is

$\begin{array}{rcl} Φ_{1} & = & ρ_{1} P_{1} \\ = & 10 (l u m e n / W) \times 90 (W) \\ = & 900 (l u m e n) \end{array}$

And the total output due to the second bulb is

$\begin{array}{rcl} E_{2} & = & ρ_{2} P_{2} \\ = & 12 (l u m e n / W) \times 100 (W) \\ = & 1200 (l u m e n) \end{array}$

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