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GATE 2025 BM – Question 64

Biomaterials and Tissue Engineering · Biomaterial Properties · 2 marks · Numerical answer

A collagen gel has storage modulus G′ proportional to concentration cubed. At 1 mg/mL, G′=100 Pa. Find G′ at 3 mg/mL, nearest integer Pa.

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Correct answer: 2700 to 2700

Explanation

The proportionality constant cancels in the ratio: G′(3)/G′(1)=(3/1)³=27. Therefore G′(3)=100×27=2700 Pa. The cube applies to concentration, not to the original modulus.

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