R(t) = At² exp(-Bt), where A and B are constants, and t is the time in seconds, for the numerical values of A = 2.802 × 10¹⁰ and B 4.30. 0.0 0.5 1.0 1.5 2.0 2.5 3.0 Time t (s) (a) What are the SI units of A and B? Explain your answer. Photon emission rate R(t) (108 s-¹)

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R(t) = At² exp(-Bt),
where A and B are constants, and t is the time in seconds, for the numerical values of A = 2.802 × 10¹⁰
and B 4.30.
0.0
0.5
1.5
2.0
2.5
3.0
Time t (s)
(a) What are the SI units of A and B? Explain your answer.
Photon emission rate R(t) (108 s-¹)
1.0
Transcribed Image Text:R(t) = At² exp(-Bt), where A and B are constants, and t is the time in seconds, for the numerical values of A = 2.802 × 10¹⁰ and B 4.30. 0.0 0.5 1.5 2.0 2.5 3.0 Time t (s) (a) What are the SI units of A and B? Explain your answer. Photon emission rate R(t) (108 s-¹) 1.0
Bioluminesence is the production and emission of light by living organisms from chemical reactio
utilising luciferin and luciferase. Many deep sea creatures exhibit bioluminescence for a variety
reasons, including mating, feeding, and camouflage. A model for a flash of bioluminescence, givin
the rate of photons (light particles) being emitted per second is
R(t) = At² exp(-Bt),
=
where A and B are constants, and t is time in seconds. The derivative of this function is
R'(t) = 2At exp(-Bt) – BAt² exp(-Bt).
Transcribed Image Text:Bioluminesence is the production and emission of light by living organisms from chemical reactio utilising luciferin and luciferase. Many deep sea creatures exhibit bioluminescence for a variety reasons, including mating, feeding, and camouflage. A model for a flash of bioluminescence, givin the rate of photons (light particles) being emitted per second is R(t) = At² exp(-Bt), = where A and B are constants, and t is time in seconds. The derivative of this function is R'(t) = 2At exp(-Bt) – BAt² exp(-Bt).
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