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Assertion: The number of atoms in a face-centered cubic (FCC) unit cell is greater than that in a body-centered cubic (BCC) unit cell.

Reasoning: In an FCC unit cell, there are atoms located at each of the eight corners and at the centers of each of the six faces of the cube, whereas, in a BCC unit cell, there are only atoms located at the eight corners and one atom at the center of the cube.

 

Option: 1

Both Assertion and Reasoning are true, and the Reasoning is the correct explanation of the Assertion.

 


Option: 2

Both Assertion and Reasoning are true, but the Reasoning is not the correct explanation of the Assertion.


Option: 3

Assertion is true, but Reasoning is false.


Option: 4

Assertion is false, but Reasoning is true.


Answers (1)

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The number of atoms in an FCC unit cell is greater than that in a BCC unit cell because, in an FCC unit cell, there are atoms located at each of the eight corners and at the centers of each of the six faces of the cube, whereas, in a BCC unit cell, there are only atoms located at the eight corners and one atom at the center of the cube. The Reasoning is correct, and it provides a correct explanation for the Assertion.

 

Posted by

Pankaj Sanodiya

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