JEE Mains · Chemistry · STD 11 - 2. structure of atom
The Bohr radius of a hydrogen like species is \(70.53\) pm. The species and the stationary state \((n)\) are respectively (Given : Hydrogen atom Bohr radius is \(52.9\) pm)
- A \(\text{Li}^{2+}, 3\)
- B \(\text{He}^+, 3\)
- C \(\text{He}^+, 2\)
- D \(\text{Li}^{2+}, 2\)
Answer & Solution
Correct Answer
(D) \(\text{Li}^{2+}, 2\)
Step-by-step Solution
Detailed explanation
The radius of the \(n\)-th Bohr orbit for a hydrogen-like species is given by the formula: \(r_n = a_0 \dfrac{n^2}{Z}\) where \(a_0\) is the Bohr radius of the hydrogen atom (\(52.9\) pm), \(n\) is the principal quantum number, and \(Z\) is the atomic number. Given…
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
- Number of compounds/species from the following with non-zero dipole moment is _______.
[\(\mathrm{BeCl}_2, \mathrm{BCl}_3, \mathrm{NF}_3, \mathrm{XeF}_4, \mathrm{CCl}_4, \mathrm{H}_2 \mathrm{O} \mathrm{H}_2 \mathrm{~S}, \mathrm{HBr}\), \(\mathrm{CO}_2, \mathrm{H}_2, \mathrm{HCl}\)]JEE Mains 2024 Medium - If compound A reacts with \(B\) following first order kinetics with rate constant \(2.011 \times 10^{-3} s ^{-1}\). The time taken by \(A\) (in seconds) to reduce from \(7\,g\) to \(2\,g\) will be \(.........\) (Nearest Integer) \([\log 5=0.698, \log 7=0.845, \log 2=0.301]\)JEE Mains 2023 Medium
- Consider the following aqueous solutions.
I. 2.2 g Glucose in 125 mL of solution.
II. 1.9 g Calcium chloride in 250 mL of solution.
III. 9.0 g Urea in 500 mL of solution.
IV. 20.5 g Aluminium sulphate in 750 mL of solution.
The correct increasing order of boiling point of these solutions will be:
[Given: Molar mass in \(g mol^{-1}\): \(H=1, C=12, N=14, O=16, Cl=35.5, Ca=40, Al=27, S=32\)]JEE Mains 2026 Hard - The group number, number of valence electrons and valency of an element with atomic number \(15\), respectively, areJEE Mains 2019 Hard
- Quantitative analysis of an organic compound (X) shows following % composition.
C : \(14.5 \%\)
Cl : 64.46%
H: 1.8 %
(Empirical formula mass of the compound \((\mathrm{X})\) is __________ \(\times 10^{-1}\)
(Given molar mass in \(\mathrm{g} \mathrm{mol}^{-1}\) of \(\mathrm{C}: 12, \mathrm{H}: 1, \mathrm{O}: 16, \mathrm{Cl}: 35.5\))JEE Mains 2025 Medium - A sugar ' \(X\) ' dehydrates very slowly under acidic condition to give furfural which on further reaction with resorcinol gives the coloured product after sometime. Sugar ' \(X\) ' isJEE Mains 2022 Medium
More PYQs from JEE Mains
- The total number of four digit numbers such that each of the first three digits is divisible by the last digit, is equal toJEE Mains 2022 Medium
- Consider the efficiency of Carnot's engine is given by \(\eta=\frac{\alpha \beta}{\sin \theta} \log _{e} \frac{\beta x}{k T}\), where \(\alpha\) and \(\beta\) are constants. If \(T\) is temperature, \(k\) is Boltzman constant, \(\theta\) is angular displacement and \(x\) has the dimensions of length. Then, choose the incorrect option.JEE Mains 2022 Hard
- Correct statements regarding Arrhenius equation among the following are:
(A) Factor \(e^{-Ea/RT}\) corresponds to fraction of molecules having kinetic energy less than Ea.
(B) At a given temperature, lower the Ea, faster is the reaction.
(C) Increase in temperature by about \(10^{\circ}C\) doubles the rate of reaction.
(D) Plot of log k vs \(\frac{1}{T}\) gives a straight line with \(slope = -\frac{Ea}{R}\).
Choose the correct answer from the options given below :JEE Mains 2026 Easy - \(20\,mL\) of \(0.02\,M\) hypo solution is used for the titration of \(10\,mL\) of copper sulphate solution, in the presence of excess of \(KI\) using starch as an indicator. The molarity of \(Cu ^{2+}\) is found to be \(\times 10^{-2}\,M\)[nearest integer]Given : \(2 Cu ^{2+}+4 I ^{-} \rightarrow Cu _{2} I _{2}+ I _{2}\) \(I _{2}+2 S _{2} O _{3}{ }^{2-} \rightarrow 2 I ^{-}+ S _{4} O _{6}{ }^{2-}\)JEE Mains 2022 Medium
- A compound '\(A\)' on reaction with ' \(X\) ' and ' \(Y\) produces the same major product but different by product '\(a\)' and '\(b\)'. Oxidation of '\(a\)' gives a substance produced by ants. '\(X\) ' and ' \(Y\) ' respectively are :
JEE Mains 2022 Medium - The frequencies at which the current amplitude in an \(LCR\) series circuit becomes \(\frac{1}{\sqrt{2}}\) times its maximum value, are \(212\,rad\,s ^{-1}\) and \(232\,rad\,s ^{-1}\). The value of resistance in the circuit is \(R =5 \Omega\). The self inductance in the circuit is \(.........mH\)JEE Mains 2022 Medium