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What is Bohr's correspondence principle? |
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Answer» Solution :As is know, Bohr's atom model has been replaced by quantum machanical model. According to this model, electrons in an atom do not move AROUND the nucleus in definite orbits. However, the probability of finding the electron is high NEAR the Bohr orbit radius, and at the same time, the probability of finding the electron between these orbits is not zero. According to Bohr's correspondence principle, the predictions of quantum theory must corresponds to the predictions of classical theory in the regions of sizes where classical theory must corresponds to the predictions of classical theory in the regions of sizes where classical theory holds. for large size wherein classical theory holds good, quantum number n becomes large. We MAY thereofore rewrite Bohr's correspondence principle as: `underset(ntooo)(LIMIT)`[quantum physics]=(Clasical Physics) for example, quantum condition for EMISSION of radiation is `hv=E_i-E_f` And Maxwell's classical theory says that an electron revolving with orbital frequency f must radiate light waves of frequency f. Calculations show that for quantum number number n as large as 10000, the difference in v and f is less than 0.015%. Thus Bohr's correspondence principle is established. |
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