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If calcium crystallizes in bc c arrangem...

If calcium crystallizes in `bc c` arrangement and the radius of `Ca` atom is `96 pm`, then the volume of unit cell of `Ca` is

A

`10.9 xx 10^(-36) m^(3)`

B

`10.9 xx 10^(-30) m^(3)`

C

`21.8 xx 10^(-30) m^(3)`

D

`21.8 xx 10^(-36) m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
For bcc latice, `sqrt(3)a = 4R rArr a = (4 xx 96)/(sqrt(3))` pm
`= 22.17` pm
(where `R` is the radius of `Ca` atom)
Volume of unit cell `= a^(3) = (22.17 xx 10^(-12))^(3) = m^(3)`
`= 10.9 xx 10^(-30) m^(3)`
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