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GATE 2026 BM – Question 34

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

The gyromagnetic frequency ratio of ³¹P is 17.23 MHz/T. Find its Larmor frequency at 3 T, rounded to one decimal place in MHz.

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Correct answer: 51.0 to 52.0

Explanation

The given gyromagnetic ratio is already in cycles per second per tesla rather than angular units. Multiply directly by field strength: f=17.23×3=51.69 MHz. Rounded to one decimal place this is 51.7 MHz; no extra 2π factor is needed.

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