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GATE 2026 MT – Question 36

Materials Science and Non-Metallic Materials · Crystal structures and bonding · 2 marks · Multiple choice

Match the crystal systems in Column I with the corresponding axial lengths and interaxial angles in Column II.

Column I:

(P) Tetragonal

(Q) Rhombohedral

(R) Orthorhombic

(S) Monoclinic

Column II:

(1) $a\ne b\ne c,\ \alpha=\beta=\gamma=90^\circ$

(2) $a=b\ne c,\ \alpha=\beta=\gamma=90^\circ$

(3) $a\ne b\ne c,\ \alpha=\gamma=90^\circ\ne\beta$

(4) $a=b=c,\ \alpha=\beta=\gamma\ne90^\circ$

  1. P-3, Q-1, R-2, S-4
  2. P-2, Q-3, R-4, S-1
  3. P-4, Q-3, R-2, S-1
  4. P-2, Q-4, R-1, S-3

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Show answer and explanation

Correct answer: (D) P-2, Q-4, R-1, S-3

Explanation

Tetragonal has a=b≠c with all angles 90° (2). Rhombohedral has a=b=c and equal nonright angles (4). Orthorhombic has unequal axes with right angles (1). Monoclinic has two right angles and one unequal angle (3). Therefore **P2,Q4,R1,S3, D**.