Neet Solved Paper 2015 Question 18

Question: A given metal crystallizes out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, what is the radius of one atom?

Options:

A) 40 pm

B) 127 pm

C) 80 pm

D) 108 pm

Show Answer

Answer:

Correct Answer: B

Solution:

  • Given, edge length = 361 pm Four metal atoms in one unit cell i.e. effective number in unit cell (z) = 4 (given)
    $ \therefore $ It is a FCC Structure
    $ \therefore $ Face diagonal = 4r $ \sqrt{2}a=4r\Rightarrow r=\frac{\sqrt{2}+361}{4}=127pm $