JEE Main 2022 · ChemistryMultiple choiceSingle correctEasyCalculation

JEE Main 26 June 2022, Shift 1, Chemistry Q63

Question 63 of 90 in this shift, Chemistry question 3 of 30, Section A.

If the radius of the 3

^{rd}

Bohr's orbit of hydrogen atom is r

_3

and the radius of 4

^{th}

Bohr's orbit is r

_4

. Then :

(1) $r_4=\frac{9}{16}r_3$
(2) $r_4=\frac{16}{9}r_3$ Official answer
(3) $r_4=\frac{3}{4}r_3$
(4) $r_4=\frac{4}{3}r_3$

Official answer

Option 2

NTA final key.

Chapter: Structure of Atom
Topic: Bohr's Atomic Theory
Idea tested: Bohr Radius Calculation

Same idea in other shifts

Asked 8× in all

4 Apr 2026, Shift 2 · Q52The species having identical radii according to the Bohr's theory are: A. H (first orbit) B. $\mathrm{He^+}$ (first orbit) C.…EasyOther
6 Apr 2026, Shift 2 · Q52The Bohr radius of a hydrogen like species is 70.53 pm. The species and the stationary state ( $n$ ) are respectively (Given : Hydrogen atom…EasySingle correct
2 Apr 2025, Shift 1 · Q52According to Bohr's model of hydrogen atom, which of the following statement is incorrect ?EasySingle correct
3 Aug 2021, Shift 2 · Q53The ratio of radii for the first and third orbits of hydrogen atom is $1 : x$ . The value of $x$ is $\underline{\hspace{2em}}$ . (Integer…EasyNumerical value
8 Jan 2020, Shift 2 · Q29The radius of the second Bohr orbit, in terms of the Bohr radius, $\mathrm{a_0}$ , in $\mathrm{Li^{2+}}$ is :EasySingle correct
5 Sep 2020, Shift 1 · Q41The difference between the radii of $3^{\mathrm{rd}}$ and $4^{\mathrm{th}}$ orbits of $\mathrm{Li^{2+}}$ is $\Delta R_1$ . The difference…MediumSingle correct
2 Apr 2017 (offline) · Q38The radius of the second Bohr orbit for hydrogen atom is : (Planck's Const. $h=6.6262\times10^{-34}$ Js; mass of electron…EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.