Silver metal crystallises in a cubic closed packed arrangement with edge length 404 pm .Thus radius of the silver atom is

Options

A. `203.5`
B. `176.23`
C. `143.9`
D. `287.7`

Answer

C

Explanation

`AC^(2)+AB^(2)=BC^(2)`
`a^(2)+a^(2)=(4r)^(2)`
`r=(a)/(sqrt(8))`
`r=(407)/(sqrt(8))`
`r=143.9` pm