Solid State - Result Question 32

####32. The volume of this hep unit cell is

(a) 242r3

(b) 162r3

(c) 122r3

(d) 64r333

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Answer:

Correct Answer: 32. (a)

Solution:

  1. In close packed arrangement, side of the base =2r

RS=r

Also MNR is equilateral triangle, PRS=30

In triangle PRS,cos30=RSPR=32

PR=23RS=23r

In right angle triangle PQR:PQ=QR2PR2=223r

Height of hexagon =2PQ=423r

Volume = Area of base × height =634(2r)2×423r

=242r3



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