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)
Atomic Spectra
According to the Bohr model of an atom, the electron in an atom moves around a nucleus in fixed orbits with specific energies known as energy levels. The orbital energies are quantized. The electrons remain in these energy levels until they emit or absorb a photon of a particular wavelength, the quantum of energy. If the electron emits a photon, it then falls back to a lower energy level, and if it absorbs a photon, the electron rises to higher energy levels. The photons released or absorbed in these transitions of an electron are studied and analyzed on a screen as atomic spectra.
Ruby Lasers
Lasers are devices that emit light using atoms or molecules at a certain wavelength and amplify the light to produce a narrow beam of radiation. It works as per the principle of electromagnetic radiation. Their source of emission contains the same frequency and same phase. It was invented in the year 1960 by the great noble scientist, Theodore Maiman.
Balmer Series
The spectrum of frequency observed when electromagnetic radiation is emitted from an atom when it goes from higher energy state to lower state, is known as emission spectrum. This transition occurs when an excited electron moves from higher to lower state. It has many possible electron transitions and each transition has a specific energy difference.
Emission Spectrum
Every state of matter tries to be at minimum potential energy or it can be said that the atoms of element/ substance arrange themselves such that overall energy is minimum.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff76347ea-2b7c-4a9a-ac33-e39a62feec13%2F851341bd-800b-431e-9b54-3137ee83f97a%2Fz7i79a_processed.png&w=3840&q=75)
![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff76347ea-2b7c-4a9a-ac33-e39a62feec13%2F851341bd-800b-431e-9b54-3137ee83f97a%2Fpf62z4p_processed.png&w=3840&q=75)
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