JEE Main 2022 · ChemistryMultiple choiceSingle correctMediumMulti-step

JEE Main 30 June 2022, Shift 1, Chemistry Q61

Question 61 of 90 in this shift, Chemistry question 1 of 30, Section A.

An element X has a body centred cubic (bcc) structure with a cell edge of 200 pm. The density of the element is 5 g cm

^{-3}

. The number of atoms present in 300 g of the element X is ___________. Given : Avogadro constant,

\mathrm{N_A}=6.0\times10^{23}

mol

^{-1}

(1)5 $\mathrm{N_A}$
(2)6 $\mathrm{N_A}$
(3)15 $\mathrm{N_A}$
(4)25 $\mathrm{N_A}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: The Solid State
Topic: Crystal Lattices
Idea tested: Unit Cell Density

Same idea in other shifts

Asked 9× in all

11 Apr 2023, Shift 1 · Q82An atomic substance A of molar mass $12\ \mathrm{g\ mol^{-1}}$ has a cubic crystal structure with edge length of 300 pm. The no. of atoms…MediumNumerical value
28 Jul 2022, Shift 1 · Q82An element M crystallises in a body centred cubic unit cell with a cell edge of 300 pm. The density of the element is…MediumNumerical value
28 Jul 2022, Shift 2 · Q52Metal M crystallizes into a fcc lattice with the edge length of $4.0\times10^{-8}$ cm. The atomic mass of the metal is ______ g/mol.…EasyNumerical value
25 Jun 2022, Shift 1 · Q82The distance between $\mathrm{Na^+}$ and $\mathrm{Cl^-}$ ions in solid NaCl of density $43.1\ \mathrm{g\ cm^{-3}}$ is __________…MediumNumerical value
25 Feb 2021, Shift 2 · Q52The unit cell of copper corresponds to a face centered cube of edge length 3.596 Å with one copper atom at each lattice point. The…MediumNumerical value
22 Jul 2021, Shift 2 · Q52A copper complex crystallising in a CCP lattice with a cell edge of 0.4518 nm has been revealed by employing X-ray diffraction studies.…MediumNumerical value
3 Sep 2020, Shift 1 · Q47An element with molar mass $2.7\times10^{-2}$ $\mathrm{kg\ mol^{-1}}$ forms a cubic unit cell with edge length 405 pm. If its density is…MediumNumerical value
5 Sep 2020, Shift 1 · Q40A diatomic molecule $\mathrm{X_2}$ has a body-centred cubic (bcc) structure with a cell edge of 300 pm. The density of the molecule is…MediumSingle 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.