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Assertion: The body-centred cubic lattice has a higher packing efficiency than the simple cubic lattice.
Reasoning: In the body-centred cubic lattice, the atoms are located at the corners and at the centre of the unit cell, which allows for a more efficient packing than the simple cubic lattice.
Both assertion and reasoning are true, and the reasoning is the correct explanation of the assertion.
Both assertion and reasoning are true, but the reasoning is not the correct explanation of the assertion.
The assertion is true, but the reasoning is false.
Both assertion and reasoning are false.
Answers (1)
The assertion that the body-centred cubic lattice has a higher packing efficiency than the simple cubic lattice is true. In the body-centred cubic lattice, the constituent particles are located at the corners and at the centre of the unit cell. This allows for a more efficient packing than the simple cubic lattice, where the particles are located only at the corners of the unit cell.
The reasoning that the atoms are located at the corners and at the centre of the unit cell in the body-centred cubic lattice, allowing for a more efficient packing than the simple cubic lattice is also correct. The body-centred cubic lattice has a packing efficiency of 68%, while the simple cubic lattice has a packing efficiency of only 52%.
Therefore, both the assertion and reasoning are true, and the reasoning correctly explains the assertion. The correct answer is a)
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