Firefly bioluminescence has a peak wavelength of around 600nm. From Wien’s blackbody radiation displacement law calculate the temperature if this were a blackbody spectrum. Could this be a blackbody spectrum and why or why not?

brasocas6

brasocas6

Answered question

2022-08-13

Firefly bioluminescence has a peak wavelength of around 600nm. From Wien’s blackbody radiation displacement law calculate the temperature if this were a blackbody spectrum. Could this be a blackbody spectrum and why or why not?

Answer & Explanation

Joe Sheppard

Joe Sheppard

Beginner2022-08-14Added 12 answers

Given:
The peak wavelength ( λ p e a k ) = 600   n m
According to Wien’s blackbody radiation displacement law,
λ p e a k T = 2.898 × 10 3   m K
The peak possible wavelength of blackbody is 579.6 nm that occurs at 5000 K temperature,
λ p e a k T = 2.898 × 10 3   m K λ p e a k = 2.898 × 10 3 5000 λ p e a k = 579.6   n m
Now the temperature for given wavelength,
λ p e a k T = 2.898 × 10 3   m K T = 2.898 × 10 3 600 × 10 9 T = 4830   n m
Answer:
The given wavelength is black body spectrum having peak wavelength of 600 nm and temperature of 4830 K.

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