GATE 2025 BM – Question 61
Suture strength obeys σ=σ0−2 ln(t) for t≥1 week. If strength is 2 MPa at week 4, find strength at week 8 in MPa to two decimal places.
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Show answer and explanation
Correct answer: 0.60 to 0.62
Explanation
Subtracting the equation at four weeks from that at eight eliminates σ0: σ(8)−σ(4)=−2 ln(8/4)=−2 ln2. Therefore σ(8)=2−1.386294≈0.613706 MPa, rounded to 0.61 MPa.
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