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GATE 2020 BM – Question 52

Medical Imaging Systems · Ultrasound Imaging · 2 marks · Multiple choice

A 3 MHz transducer sends a three-cycle pulse normally toward a fat–liver boundary. Use tissue speed 1500 m/s, fat speed 1450 m/s,liver speed 1570 m/s, fat density 920 kg/m³,liver density 1060 kg/m³. Find axial resolution in mm and pressure-amplitude reflection coefficient.

  1. 0.5,0.22
  2. 0.75,0.22
  3. 0.5,0.11
  4. 0.75,0.11

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Correct answer: (D) 0.75,0.11

Explanation

Tissue wavelength is 1500/(3×10⁶)=.5 mm. Three-cycle spatial pulse length is 1.5 mm and axial resolution is half that, .75 mm. Acoustic impedances are Zfat=920×1450=1.334×10⁶ and Zliver=1060×1570=1.6642×10⁶. Pressure reflection coefficient=(Zliver−Zfat)/(Zliver+Zfat)≈.1101. Thus D.

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