Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

A solid XY has NaCl structure. If radius of X^ + is 100 pm. What is...

A solid XY\text{XY} has NaCl\text{NaCl} structure. If radius of X+X^{+} is 100 pm.\text{100 pm}\text{.} What is the radius of Y−Y^{-} ion:

Options

  1. A120 pm\text{120 pm}
  2. B136.6\text{136}\text{.6} to 241.6 pm\text{241}\text{.6 pm}
  3. C136.6pm136.6\text{pm}
  4. D241.6pm241.6\text{pm}

Correct answer

B. 136.6\text{136}\text{.6} to 241.6 pm\text{241}\text{.6 pm}

Step-by-step solution

For NaCl\text{NaCl} like structure. The radius ratio should be 0.4140.414 to 0.7320.732

\dfrac{r^{+}}{r^{-}} = \dfrac{100}{{r}_\max^{-}} = 0.414

\dfrac{100}{{r}_\min^{-}} = 0.732

∴ {r}_\max^{-} = 241.6pm

∴ {r}_{\text\min} = 136.6\text{pm}
Practice Solid State on Quantrex Academy →

More from Solid State

The density (in g cm^ -3 ) of the metal which forms a cubic close packed (ccp) lattice… JEE Advanced 2025Atoms of metals x, y and z form face-centred cubic (fcc) unit cell of edge length L _ x… JEE Advanced 2023Which of the following expressions is correct in case of a CsCl unit cell (edge length… JEE Main 2023Sodium metal crystallises in a body centred cubic lattice with unit cell edge length of… JEE Main 2023An atomic substance A of molar mass 12g mol ^ – 1 has a cubic crystal structure with edge… JEE Main 2023The correct relationships between unit cell edge length ‘ a ’ and radius of… JEE Main 2023Number of crystal systems from the following where body centred unit cell can be found… JEE Main 2023A compound is formed by two elements X and Y . The element Y forms cubic close packed… JEE Main 2023 Full Solid State list All NTA Abhyas JEE Main PYQs