COMEDK · Physics · 28. Atomic Physics
According to Bohr's theory of hydrogen atom, the speed of the electron, its energy and radius of its orbit vary with the principal quantum number n , respectively as
- A \(\dfrac{1}{n}, n^2, \dfrac{1}{n^2}\)
- B \(\dfrac{1}{n^2}, \dfrac{1}{n}, n^2\)
- C \(\dfrac{1}{n}, \dfrac{1}{n^2}, n^2\)
- D \(n, \dfrac{1}{n^2}, n^2\)
Answer & Solution
Correct Answer
(C) \(\dfrac{1}{n}, \dfrac{1}{n^2}, n^2\)
Step-by-step Solution
Detailed explanation
According to Bohr's theory for a hydrogen-like atom, the radius of the \(n^{th}\) orbit is given by \(r_n = a_0 \dfrac{n^2}{Z}\), which implies \(r_n \propto n^2\). The velocity of the electron in the \(n^{th}\) orbit is given by \(v_n = v_0 \dfrac{Z}{n}\), which implies…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A disc of moment of inertia \(4 \mathrm{~kg}-\mathrm{m}^2\) revolving with \(16 \mathrm{rad} / \mathrm{s}\) is placed on another disc of moment of inertia \(8 \mathrm{Kg}-\mathrm{m}^2\) revolving \(4 \mathrm{rad} / \mathrm{s}\). The angular frequency of composite discCOMEDK 2022 Easy
- Water flows from a tap with steady flow, through a cross sectional area of \(10^{-3} \mathrm{~m}^2\) with a speed of \(0.5 \mathrm{~ms}^{-1}\). Assume the pressure is constant throughout the stream of water. The cross sectional area of the stream \(0.19 \mathrm{~m}\) below the tap isCOMEDK 2024 Medium
- A gas bubble of volume \(2 \mathrm{~cm}^3\) rises from the bottom of a pond of depth 10 m at \(17^0 \mathrm{C}\). What will be the volume of the bubble when it reaches the surface of the pond? Atmospheric temperature is \(27^{\circ} \mathrm{C}\) and the pressure at the bottom of the pond is double that of the pressure at the surface.COMEDK 2025 Medium
- Find the binding energy of the tritium nucleus:
[Given: mass of \(1 \mathrm{H}^3=3.01605 \mathrm{~u} ; \mathrm{~m}_{\mathrm{p}}=1.00782 \mathrm{~u} ; \mathrm{~m}_{\mathrm{n}}=1.00866 \mathrm{~u}\).]COMEDK 2024 Medium - The distance of closest approach when an alpha particle of kinetic energy \(6.5 \text{ MeV}\) strikes a nucleus of atomic number 50 isCOMEDK 2024 Medium
- A long spring, when stretched by a distance \(x\), has potential energy \(U\). On increasing the stretching to \(n x\), the potential energy of the spring will beCOMEDK 2023 Easy
More PYQs from COMEDK
- What is the dc component of the output voltage if a sinusoidal signal of 33 V peak voltage is the input of a half wave diode rectifier circuit?COMEDK 2025 Medium
- \(\lim _\limits{x \rightarrow 0} \dfrac{\sqrt{a+x}-\sqrt{a}}{x \sqrt{a(a+x)}}\) equals toCOMEDK 2024 Medium
- If \(\mathbf{a} \hat{\mathfrak{i}}=\mathbf{a}(\hat{\hat{i}}+\hat{\hat{j}})=\mathbf{a}(\hat{\mathbf{i}}+\hat{\hat{b}}+\hat{\mathbf{k}})=1\), then \(\mathbf{a}=\)COMEDK 2019 Easy
- In froth floatation process for the purification of ores, the particles of ore float becauseCOMEDK 2016 Medium
- If \(|\mathrm{a}|=8,|\mathrm{b}|=3\) and \(|\mathrm{a} \times \mathrm{b}|=12\), then find the angle between \(\mathrm{a}\) and \(\mathrm{b}\).COMEDK 2021 Easy
- Conjugate acid of \(\mathrm{NH}_{2}^{-}\)isCOMEDK 2019 Medium