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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

The metal M crystallizes in a body cantered lattice with cell edge...

The metal M\text{M} crystallizes in a body cantered lattice with cell edge 400pm\text{400}\text{pm}. The atomic radius of M\text{M} is

Correct answer

173

Step-by-step solution

a=400pm\text{a}\text{=}\text{400}\text{pm}
In body central lattice 3a=4r\sqrt{3}a = 4r
r=3a4r = \dfrac{\sqrt{3}a}{4}
r=34×400r = \dfrac{\sqrt{3}}{4} \times 400
r=3×100=173pmr = \sqrt{3} \times 100 = 173pm
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