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GATE 2026 BM – Question 20

Biomechanics · Soft Tissue Mechanics · 1 mark · Multiple choice

An incompressible cylindrical tissue initially has diameter 2 cm and height 3 cm. It undergoes homogeneous axial stretching by 10%. Find its final diameter in cm.

  1. 2.4
  2. 2.2
  3. 1.6
  4. 1.9

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Correct answer: (D) 1.9

Explanation

Incompressibility preserves cylinder volume, so d²h is constant. New height is 1.1 times the original, giving d_new²×1.1=d_old². Thus d_new=2/√1.1≈1.907 cm, closest to 1.9, D. Treating incompressibility as fixed diameter would incorrectly increase volume.

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