Chapter 33: Problem 11
An atom in an excited state emits a burst of light. What happens to the atom's mass?
Short Answer
Expert verified
In principle, the atom loses an extremely minute amount of mass when it emits a burst of light, as per Einstein's theory of relativity. But this loss in mass is practically impossible to measure and is almost always ignored. So, for all intents and purposes, we consider the atom's mass to remain constant.
Step by step solution
01
Understand Atoms and Energy Transitions
An excited atom is one whereby electrons are at a higher energy level than their ground state. The atom can transition back down to a lower energy state by emitting a photon of light. The energy of that photon corresponds to the difference in energies of the two states. This is known as energy transition.
02
Einstein's Theory of Relativity
An important theory put forward by Einstein is his theory of relativity, embodied in the famous equation E=mc^2, where E is energy, m is mass, and c is the speed of light. The equation suggests that mass and energy are interchangeable.
03
Relation between Mass and Energy
From the above points, we know that when a photon is emitted, the atom loses energy. But from Einstein's equation, when an object loses energy, it also loses mass. However, it's important to note that the mass lost in the process during atomic transitions is extremely small and practically impossible to measure. It's so small that in basically all instances we can consider the mass of the atom to remain constant even after the photon has been emitted.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Atomic Energy Transitions
When discussing atomic energy transitions, it's crucial to start by understanding what happens within an atom. Atoms consist of electrons orbiting a nucleus; these electrons can occupy different energy levels. In their most stable, low-energy state, also known as the ground state, electrons require a certain amount of energy to move up to a higher energy level, resulting in what is known as an excited state.
But what goes up must come down, and this is true for electrons too. When an electron transitions back to a lower energy state, it releases energy in the form of light, which we observe as a photon. This photon's energy is exactly equal to the difference between the high and low energy levels involved in the transition. This process is fundamental to many phenomena in physics and chemistry, and it's how we get the beautiful glow of neon lights and the critical data from spectral analysis used in astronomy and other sciences.
But what goes up must come down, and this is true for electrons too. When an electron transitions back to a lower energy state, it releases energy in the form of light, which we observe as a photon. This photon's energy is exactly equal to the difference between the high and low energy levels involved in the transition. This process is fundamental to many phenomena in physics and chemistry, and it's how we get the beautiful glow of neon lights and the critical data from spectral analysis used in astronomy and other sciences.
Einstein's Theory of Relativity
Einstein's theory of relativity revolutionized the way we think about space, time, and gravity. At its core, it challenges the notion of absolute time and space, introducing a framework where the laws of physics are the same for all non-accelerating observers and where the speed of light within a vacuum is the same no matter the speed at which an observer travels. This theory is divided into special relativity and general relativity, with special relativity focusing on the absence of gravity and providing us with the famous E=mc^2 equation.
Impact on Modern Physics
Relativity has had an enormous impact on modern physics, influencing the understanding of black holes, the Big Bang, and even time dilation – an effect which causes time to be measured differently by observers in different states of relative motion.The E=mc^2 Equation
E=mc^2 stands for energy equals mass times the speed of light squared. It's a succinct way of expressing the relationship between mass and energy. What this groundbreaking equation tells us is that energy and mass are interchangeable; they are two forms of the same thing. This has profound implications for our understanding of the universe. In the context of an excited atom, when an electron drops to a lower energy level and emits a photon, the energy carried away by the photon was part of the atom's mass. Therefore, as the atom emits energy, it experiences a minuscule decrease in mass.
Understanding Mass-Energy Equivalence
But don't forget, the change in mass is so tiny that it's negligible for practical purposes. The E=mc^2 equation, however, is pivotal in scenarios involving nuclear reactions, where mass changes significantly, such as in the sun or in nuclear power plants.Photon Emission
Photon emission is a term that signals the release of a photon, which is a particle representing a quantum of light. This event occurs during atomic energy transitions, such as when an atom shifts from an excited state back to its ground state. It's the way atoms dispose of excess energy. The emitted photons carry specific amounts of energy, correlating to specific wavelengths of light, and this is why distinct elements emit light of unique colors when heated or electrically stimulated.