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Asked: 2020-04-11T04:47:48+05:30 In:

GATE MT 2016 Q.54 A liquid phase sintered SiC-Ni composite has a solid-solid grain boundary energy (γSiC-SiC) of 0.80 J.m-2 and a solid-liquid (γSiC-Ni) interfacial energy of 0.45 J.m-2. For a SiC grain size of 20 µm, the average interparticle (SiC-SiC) neck size (in µm) is:

Poll Results

2.13%(A) 3.03 ( 1 voter )
17.02%(B) 4.28 ( 8 voters )
68.09%(C) 9.16 ( 32 voters )
12.77%(D) 18.32 ( 6 voters )
Based On 47 Votes

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GATE MT 2016 Q.54 A liquid phase sintered SiC-Ni composite has a solid-solid grain boundary energy (γSiC-SiC) of 0.80 J.m-2 and a solid-liquid (γSiC-Ni) interfacial energy of 0.45 J.m-2. For a SiC grain size of 20 µm, the average interparticle (SiC-SiC) neck size (in µm) is:
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      Gold official account of Askmemetallurgy

      Correct answer is option C. Given that, (γSiC-SiC)= 0.805 J.m-2 (γSiC-Ni) = 0.45 J.m-2 Using surface energy balanced theorem, 2γSiC-Ni = γSiC-SiC 2×0.45cos(Φ/2)=0.8 cos(Φ/2)=8/9 From the figure, sin(Φ/2)=(x/2)/(D/2) = x/D √1-cos2(θ/2)= x/D x=20√(81-64)/81 = 9.16

      Correct answer is option C.

      Given that, (γSiC-SiC)= 0.805 J.m-2

      (γSiC-Ni) = 0.45 J.m-2

      Using surface energy balanced theorem,

      2γSiC-Ni = γSiC-SiC

      2×0.45cos(Φ/2)=0.8

      cos(Φ/2)=8/9

      From the figure, sin(Φ/2)=(x/2)/(D/2) = x/D

      √1-cos2(θ/2)= x/D

      x=20√(81-64)/81 = 9.16

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