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Consider a cube of body-centerd cubic un...

Consider a cube of body-centerd cubic until cell of edge length a. Now atom at the body centre can be viewed to be lying on the corner of another cube 2 Find the volume common to cube 1 and cube 2.

A

`(a^(3))/(27)`

B

`(a^(3))/(64)`

C

`(a^(3))/(2sqrt2)`

D

`(a^(3))/(8)`

Text Solution

Verified by Experts

The correct Answer is:
D
Common volume `= ((a)/(2))^(3) = (a^(3))/(8)` [`:.` common vol is a cube of edge length `(a)/(2)`]
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