[Classical Lifetime of a Rutherford Atom] A Rutherford atom initially with radius a, radiates classically until the electron collapses into the nucleus. Find expressions for r andw as functions of time and calculate the life time of the atom e2 ·w+r2 in SI units in order to set up a 6περC3 dE (Hint: Use the rate of energy dissipation into radiation dt differential equation for r.)
[Classical Lifetime of a Rutherford Atom] A Rutherford atom initially with radius a, radiates classically until the electron collapses into the nucleus. Find expressions for r andw as functions of time and calculate the life time of the atom e2 ·w+r2 in SI units in order to set up a 6περC3 dE (Hint: Use the rate of energy dissipation into radiation dt differential equation for r.)
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![[Classical Lifetime of a Rutherford Atom] A Rutherford atom initially with radius ao radiates classically
until the electron collapses into the nucleus. Find expressions for r andw as functions of time and
calculate the life time of the atom
e2
·w4r2 in SI units in order to set up a
dE
(Hint: Use the rate of energy dissipation into radiation
dt
differential equation for r.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7acc2cc-d74e-49d3-b5f3-209741f49b0b%2F29c124ae-52a1-462d-aef1-e1ae8eedd150%2Fhacsqri_processed.png&w=3840&q=75)
Transcribed Image Text:[Classical Lifetime of a Rutherford Atom] A Rutherford atom initially with radius ao radiates classically
until the electron collapses into the nucleus. Find expressions for r andw as functions of time and
calculate the life time of the atom
e2
·w4r2 in SI units in order to set up a
dE
(Hint: Use the rate of energy dissipation into radiation
dt
differential equation for r.)
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