Limitations of Rutherford's Atomic Model
The limitations of Rutherford's model are the failures that arise when classical electromagnetic theory is applied to orbiting electrons: it cannot explain atomic stability or the discrete line spectra of atoms.
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Student-friendly explanation
In Rutherford's model, electrons revolve around the nucleus like planets. An electron in circular motion is accelerating, and classical theory says an accelerating charge should radiate energy continuously. If that happened, the electron would lose energy, spiral into the nucleus, and the atom would be unstable. Rutherford's model also gives no rule for fixed electron energies, so it cannot explain why hydrogen gives sharp spectral lines instead of a continuous spectrum.
How to write this in exams
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Start with the exact idea
The limitations of Rutherford's model are the failures that arise when classical electromagnetic theory is applied to orbiting electrons: it cannot explain atomic stability or the discrete line spectra of atoms.
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Then show how to use it
Step 1: Identify electron motion as circular motion around nucleus. Step 2: State that circular motion involves acceleration. Step 3: Apply classical radiation idea. Step 4: Explain predicted collapse. Step 5: Add the separate spectral-line failure.
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Add one concrete example
Hydrogen emits definite spectral lines in the Balmer series in the visible region. Rutherford's model has no quantised energy levels, so it cannot predict these fixed wavelengths.
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Avoid this incomplete answer
A common wrong answer is: Rutherford's model failed because it had no nucleus. This is wrong; its success was the nuclear model, while its failure was explaining stable electron motion and spectra.
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Why does Rutherford's model fail to explain the stability of atoms?
In Rutherford's model, revolving electrons are accelerated charges. According to classical electromagnetic theory, they should radiate energy continuously, lose orbital energy, and spiral into the nucleus. Since real atoms are stable, the model fails to explain atomic stability.
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