Solveeit Logo

Question

Question: According to Bohr correspondence principle when quantum number is very large –...

According to Bohr correspondence principle when quantum number is very large –

A

Frequency of revolution of electron in an orbit is equal to the frequency of photon emitted when electron jumps from that orbit to next lower orbit

B

Classical physics approaches quantum physics

C

Wavelength of electron De Broglie wavelength does not depend on kinetic energy of electron

D

Energy of electrons are not quantized

Answer

Frequency of revolution of electron in an orbit is equal to the frequency of photon emitted when electron jumps from that orbit to next lower orbit

Explanation

Solution

Frequency of revolution of electron is f µ 1n3\frac{1}{n^{3}}

frequency of photon emitted

n µ (1(n1)21n2)\left( \frac{1}{(n - 1)^{2}} - \frac{1}{n^{2}} \right)

n µ[n2(n1)2n(n1)]2]\left\lbrack \frac{n^{2} - (n - 1)^{2}}{n(n - 1)\rbrack^{2}} \right\rbrack

n µ [(2n1)]n2(n1)2\frac{\lbrack(2n - 1)\rbrack}{n^{2}(n - 1)^{2}}

when n >> 1

n µ 2nn4\frac{2n}{n^{4}}

n µ 1n3\frac{1}{n^{3}}