Assertion :The distance between nearest lattice points in BCC is greater than the same in FCC having same edge length. Reason: FCC has greater packing efficiency than BCC.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
In BCC nearest lattice point is $\frac{a \sqrt{3}}{2}$ while in FCC it is $\frac{a}{\sqrt{2}}$ because the packing fraction of BCC $(0.68)$ is less than that of FCC $(0.74)$ .

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Similar questions

Q. Assertion :Nearest neighbour distance in bcc unit cell is greater than that of fcc having same edge length. Reason: Bcc has greater packing efficiency than fcc.

In the following questions a statement of Assertion (A) followed by a statement of Reason (R) is given. Choose the correct answer out of the following choices.

(a) Assertion and Reason both are correct statements an Reason is correct explanation for Assertion.

(b) Assertion and Reason both are correct satements but Reason is not correct explanation for Assertion.

(d) Assertion is wrong statement but Reason is correct statement.

Assertion (A) The packing efficiency is maximum for the fcc structure.

Reason (R) The coordination number is 12 in fcc structures.

Assertion: Be and Al have similar properties.

Reason: $B e^{2 +}$ and $A l^{3 +}$ have nearly the same charge/volume ratios and similar polarising power.

Q. Assertion
If BOD level of water in reservoir is less than 5 ppm it is not polluted.

Reason
High biological oxygen demand means low activity of bacteria in water.

Q. Assertion: The compressibility factor for

H_{2}

and

H e

(1 + \frac{P b}{R T})

Reason: The compressibility factor for

H_{2}

and

H e

can be derived from Van der Waal's equation.

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Assertion :The distance between nearest lattice points in BCC is greater than the same in FCC having same edge length. Reason: FCC has greater packing efficiency than BCC.

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for AssertionIn BCC nearest lattice point is a√32 while in FCC it is a√2 because the packing fraction of BCC (0.68) is less than that of FCC (0.74).

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
In BCC nearest lattice point is $\frac{a \sqrt{3}}{2}$ while in FCC it is $\frac{a}{\sqrt{2}}$ because the packing fraction of BCC $(0.68)$ is less than that of FCC $(0.74)$ .