Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2022
Exam
NEET
Year
2022
Subject
Physics
Chapter
Atomic Physics

NEET 2022 · Physics · Atomic Physics

Let R_1 be the radius of the second stationary orbit and R_2 be the...

Let R1R_1 be the radius of the second stationary orbit and R2R_2 be the radius of the fourth stationary orbit of an electron in Bohr's model. The ratio R1R2\frac{R_1}{R_2} is:

Options

  1. A0.25
  2. B0.5
  3. C2
  4. D4

Correct answer

A. 0.25

Step-by-step solution

As, Rn=0.529n2Z Hence, R1R2=0.529n12Z10.529n22Z2R1R2=n12n22=(2)2(4)2∴R1R2=14=0.25\begin{aligned} \mathrm{R}_n & =0.529 \frac{n^2}{\mathrm{Z}} \\ \text{ Hence, } \quad \frac{\mathrm{R}_1}{\mathrm{R}_2} & =\frac{0.529 \frac{n_1^2}{\mathrm{Z}_1}}{0.529 \frac{n_2^2}{\mathrm{Z}_2}} \\ \frac{\mathrm{R}_1}{\mathrm{R}_2} & =\frac{n_1^2}{n_2^2}=\frac{(2)^2}{(4)^2} \\ \therefore \quad \frac{\mathrm{R}_1}{\mathrm{R}_2} & =\frac{1}{4}=0.25 \end{aligned} (where, the symbols have their usual meanings)
Practice Atomic Physics on Quantrex Academy →

More from Atomic Physics

The energy levels of certain atom are represented in the following figure. During the… MHT CET Medical 2026The ratio of ionization energy of a hydrogen atom in fifth excited state to second… MHT CET Medical 2026The wavelength of radiation emitted is ' λ ' when an electron jumps from second to first… MHT CET Medical 2026The angular momentum of an electron in Bohr's hydrogen atom having energy -0.544 eV is (h… MHT CET Medical 2026An electron of mass ' m_e ' and charge ' e ' revolving around the nucleus in n^ th orbit… MHT CET Medical 2026The ratio of angular frequency (ω ) of an electron to the total energy ( E) of an… MHT CET Medical 2026The ratio between the areas of Bohr's first three orbits of the hydrogen atom are MHT CET Medical 2026A hydrogen atom in its ground state is irradiated by light of wavelength 1026\ Å . The… MHT CET Medical 2026 Full Atomic Physics list All NEET PYQs