Question

13) In the clinical use of ultrasound, a thin layer of gel is put on the skin before the device that emits and receives the reflected sound waves-- the transducer--is placed on the skin This transducer is usually made of a ceramic, barium titanate, which has a density of 5600 kg/m' and through which sound waves travel at 5500 m/s. a) Calculate the values of acoustic impedance for the gel, for air, and for barium titanate. The speed of sound in air is 340 m/s and its density is 1.3 kg/m', while the same properties for the gel are approximately equal to those of water (1500 m/s and 1000 kg/m', respectively). b) Calculate the intensity reflection and transmission coefficients, R and T. between transducer material and air. c) Calculate the intensity reflection and transmission coefficients. R and T. between transducer material and gel. d) Based on the results of your calculations, explain why the gel is used.

I'm not sure how to solve for these materials, could I get help with parts a,b,c,d

Answer 1

13) Acusipdae lefiond ad z fore 000 x 150O 15 XD 2 for aire Zas 340x 13 442 hg/m5 for barium titbnat Zr 550 x 5600 30.9x10 affirind ahe Ihombrlucsr and aire is + Za - 442 30.x1 +442 30.x10 0.99997

Teanb missin cffaentl9butwuen noair rnd olu tore 2 Zo 2x 42 30.8X10442 . 00 00 27 Reflaubin cafficient (R) bufuun thanslon 30. X1o 5xI0 30-Px 10+15x105 .907 fficdent ) butmen teands ab 7 rand onission cur and gel 2Z3 x5 X10 30.gx1015x10 a.093

d) As transmissin efiit bhuen gl and tonbdar hihre otrend mision fiisntn btuem ill is wsol. aire nd frandcar mare ruah do th andole casheent for a tean