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GATE 2026 BM – Question 33

Medical Imaging Systems · Magnetic Resonance Imaging · 1 mark · Numerical answer

An MRI signal has T2=100 ms and initial intensity 500 a.u. Find the intensity at t=50 ms, rounded to one decimal place.

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Correct answer: 300.0 to 305.0

Explanation

Transverse relaxation follows $S(t)=S(0)e^{-t/T_2}$. Substituting gives 500e⁻⁰·⁵≈303.2653 a.u. Therefore the requested value is 303.3 a.u., within the official numerical range.

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