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GATE 2020 MT – Question 13

Mechanical Behaviour of Materials · Dislocations and strengthening · 1 mark · Multiple choice

A slip system consists of a slip plane and slip direction. Which is NOT valid in FCC copper?

  1. $(111)[\bar110]$
  2. $(\bar111)[011]$
  3. $(1\bar11)[10\bar1]$
  4. $(11\bar1)[101]$

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Show answer and explanation

Correct answer: (B) $(\bar111)[011]$

Explanation

FCC slip uses {111} planes and ⟨110⟩ directions lying in those planes. Test the dot product of the plane normal (h,k,l) with the direction [u,v,w]; it must vanish. A, C and D give zero. For B, $(-1)(0)+(1)(1)+(1)(1)=2$, so its direction is not in the stated plane. Thus B is invalid.

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