# NEET Physics Nuclei Questions Solved

In the Bohr model of the hydrogen atom, let R, v and E represent the radius of the orbit, the speed of electron and the total energy of the electron respectively. Which of the following quantity is proportional to the quantum number n

(a) R/E               (b) E/v
(c) RE                (d) vR

(d) Rydberg constant $\mathrm{R}=\frac{{\mathrm{\epsilon }}_{0}{\mathrm{n}}^{2}{\mathrm{h}}^{2}}{{\mathrm{\pi mZe}}^{2}}$
Velocity $\mathrm{v}=\frac{{\mathrm{Ze}}^{2}}{2{\mathrm{\epsilon }}_{0}\mathrm{nh}}$ and energy $\mathrm{E}=-\frac{{\mathrm{mZ}}^{2}{\mathrm{e}}^{4}}{8{\mathrm{\epsilon }}_{0}^{2}{\mathrm{n}}^{2}{\mathrm{h}}^{2}}$
Now, it is clear from above expressions R.v ∝ n

Difficulty Level:

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