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GATE 2022 BM – Question 34

Medical Imaging Systems · Ultrasound Imaging · 1 mark · Numerical answer

A PZT5A ultrasound transducer must resonate at 5 MHz. Sound speed in the crystal is 4350 m/s. Find the required thickness in mm to three decimals.

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Correct answer: 0.434 to 0.436

Explanation

In the fundamental thickness mode, the crystal thickness is half a wavelength: d=c/(2f). Substituting gives 4350/(2×5×10⁶)=.000435 m=.435 mm. Thus the three-decimal thickness is 0.435 mm.

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