Calculate the classical expectation of the power emitted

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Reference no: EM13982365

Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from a charge q with acceleration a is given by:

dE/dt = q²a²/6Πε₀c³

where c is the speed of light. This equation, known as the Larmor formula, is a good approximation for charges moving at speeds which are small compared to c.

[A] Use the Larmor formula to calculate the classical expectation of the power emitted by a hydrogen atom in its ground state. For this purpose, consider the hydrogen atom to be composed of an electron orbiting a proton with a radius of 0.0529 nm with a kinetic energy of 13.6 eV.

[B] Qualitatively, what will happen to the orbit?

[C] What does your result tell you about the (classical) stability of hydrogen? How long would you expect hydrogen to survive under these conditions?

Reference no: EM13982365

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