WBJEE · Chemistry · Structure of Atom
Consider an electron moving in the first Bohr orbit of a \(\mathrm{He}^{+}\)ion with a velocity \(\mathrm{v}_1\). If it is allowed to move in the third Bohr orbit with a velocity \(v_3\), then indicate the correct \(v_3: v_1\) ratio
- A \(3: 1\)
- B \(2: 1\)
- C \(1: 3\)
- D \(1: 2\)
Answer & Solution
Correct Answer
(C) \(1: 3\)
Step-by-step Solution
Detailed explanation
\(v=v_0 \frac{z}{n}\) For 1st orbit of \(\mathrm{He}^{+} \quad v_1=v_0 \frac{2}{1}\) For \(3^{\text {rd }}\) orbit of \(\mathrm{He}^{+} \quad v_3=v_0 \frac{2}{3}\) \(v_3: v_1=1: 3\)
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 Chemistry
- The molecular shapes of \(\mathrm{SF}_4, \mathrm{CF}_4\) and \(\mathrm{XeF}_4\) areWBJEE 2023 Hard
- Among the following compounds, the onele that gives (give) effervescence with aqueoug \(\mathrm{NaHCO}_{3}\) solution is (are)
WBJEE 2014 Easy - The total number of alkyl bromides (including stereoismers) formed in the reaction \(\mathrm{Me}_{3} \mathrm{C}-\mathrm{CH}=\mathrm{CH}_{2}+\mathrm{HBr} \rightarrow\) will beWBJEE 2020 Medium
- In which of the following mixed aqueous solutions, \(\mathrm{pH}=\mathrm{p} K_{a}\) at equilibrium?
(1) \(100 \mathrm{mL}\) of \(0.1 \mathrm{M} \mathrm{CH}_{3} \mathrm{COOH}+100 \mathrm{mL}\) of \(0.1 \mathrm{MCH}_{3} \mathrm{COONa}\)
(2) \(100 \mathrm{mL}\) of \(0.1 \mathrm{MCH}_{3} \mathrm{COOH}+50 \mathrm{mL}\) of 0.1 \(\mathrm{M} \mathrm{NaOH}\)
(3) \(100 \mathrm{mL}\) of \(0.1 \mathrm{M} \mathrm{CH}_{3} \mathrm{COOH}+100 \mathrm{mL}\) of \(0.1 \mathrm{M} \mathrm{NaOH}\)
(4) \(100 \mathrm{mL}\) of \(0.1 \mathrm{M} \mathrm{CH}_{3} \mathrm{COOH}+100 \mathrm{mL}\) of \(0.1 \mathrm{M} \mathrm{NH}_{3}\)WBJEE 2016 Hard - A gas can be liquefied at temperature T and pressure \(p\) providedWBJEE 2015 Easy
- In which of the following molecules is hydrogen bridge bond present?WBJEE 2010 Medium
More PYQs from WBJEE
- \(\text {If } \log _{0.2}(x-1)>\log _{0.04}(x+5), \text { then }\)WBJEE 2015 Easy
- Two identical cells each of emf \(\mathrm{E}\) and internal resistance \(\mathrm{r}\) are connected in parallel with an external resistance \(\mathrm{R}\). To get maximum power developed across \(R\), the value of \(R\) isWBJEE 2009 Medium
- If the charge on a capacitor is increased by 2 coulomb, the energy stored in it increases by \(21 \%\). The original charge on the capacitor isWBJEE 2009 Hard
- The value of \(1000\left[\frac{1}{1 \times 2}+\frac{1}{2 \times 3}+\frac{1}{3 \times 4}+\ldots+\frac{1}{999 \times 1000}\right]\) isWBJEE 2013 Medium
- The white precipitate \((Y)\), obtained on passing colourless and odourless gas \((X)\) through an ammoniacal solution of \(\mathrm{NaCl}\), loses about \(37 \%\) of its weight on heating and a white residue \((\mathrm{Z})\) of basic nature is left. Identify \((\mathrm{X}),(\mathrm{Y})\) and \((\mathrm{Z})\) from following sets.WBJEE 2021 Medium
- The force \(\mathrm{F}\) acting on a particle moving in a straight line is shown below. What is the work done by the force on the particle in the \(1^{\text {st }}\) meter of the trajectory?
WBJEE 2009 Easy