NEET Physics Question - Modern Physics

Assertion (A): In a Bohr's atom, frequency of revolution of an electron in its orbit is same as frequency of spectral line, for transition between large quantum numbers.

Reason (R): As Principal quantum number increases in a Bohr's atom, energy gap between the energy levels decreases.

Both (A) & (R) are true and the (R) is the correct explanation of the (A)

Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(A) is true but (R) is false

Both (A) and (R) are false

Solution:

Assertion (A) is true due to the correspondence principle where for large \(n\), \(f_{\text{rev}} \propto 1/n^3\) and \(f_{\text{spectral}} \propto 1/n^3\).

Reason (R) is true because \(E_n \propto -1/n^2\), so \(Delta E = |E_{n+1} - E_n| \propto 1/n^3\). Reason (R) correctly explains why the spectral lines become closer, aligning with the classical revolution frequency for large \(n\).

Rankers Physics

Bohr’s Atom Frequencies and Energy Gaps

Solution:

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