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Find the edge length of bcc unit cell if radius of metal atom is 126 pm.

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Question

Find the edge length of bcc unit cell if radius of metal atom is 126 pm.

Options

  • 2.91 × 10–8 cm

  • 4.52 × 10–8 cm

  • 3.50 × 10–8 cm

  • 6.30 × 10–8 cm

MCQ
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Solution

2.91 × 10–8 cm

Explanation:

For bcc unit cell, 4r = `sqrt3 a`

`therefore a = 4r/sqrt3`

`(4xx126)/1.732`

= 291 pm

= 291 × 10–10 cm

= 2.91 × 10–10 cm

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