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प्रश्न
If ‘a’ is the length of the side of the cube, the distance between the body-centered atom and one corner atom in the cube will be ______.
पर्याय
`(2/sqrt 3) a`
`(4/sqrt 3) a`
`(sqrt 3/4) a`
`(sqrt 3/2) a`
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उत्तर
If ‘a’ is the length of the side of the cube, the distance between the body-centered atom and one corner atom in the cube will be `bbunderline((sqrt 3/2) a)`.
Explanation:
In a body-centred cubic (BCC) structure:
The body-centred atom is at the centre of the cube.
The corner atom is at one of the cube's corners.
The distance between them is half the body diagonal of the cube.
∴ Full body diagonal = `sqrt3 a`
∴ Distance between corner and body-centred atom = `sqrt3/2 * a`
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