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In a certain experiment, a filament in an evacuated lightbulb carries a current ...

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In a certain experiment, a filament in an evacuated lightbulb carries a current I1 and you measure the spectrum of light emitted by the filament, which behaves as a black body at temperature T1. The wavelength emitted with highest intensity (symbolized by λmax) has the value λ1. You then increase the potential difference across the filament by a factor of 8, and the current increases by a factor of 2. After this change, what is the new value of the temperature of the filament?
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