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IP A typical light bulb contains a tungsten filament that

Chapter 30, Problem 9P

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QUESTION:

Problem 9P

IP A typical light bulb contains a tungsten filament that reaches a temperature of about 2850 K, roughly half the surface temperature of the Sun. (a) Treating the filament as a blackbody, determine the frequency for which its radiation is a maximum. (b) Do you expect the light bulb to radiate more energy in the visible or in the infrared part of the spectrum? Explain.

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QUESTION:

Problem 9P

IP A typical light bulb contains a tungsten filament that reaches a temperature of about 2850 K, roughly half the surface temperature of the Sun. (a) Treating the filament as a blackbody, determine the frequency for which its radiation is a maximum. (b) Do you expect the light bulb to radiate more energy in the visible or in the infrared part of the spectrum? Explain.

ANSWER:

Step 1 of 2:-

a)

Here, we have to find the frequency for which the radiation will be maximum.

Given that,

.

We know from Wien’s displacement law that,

         

          .

So, the frequency at which the radiation will be maximum is .

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