Final answer:
To determine the correct time measurement for a 1.00 mm thick thermogel coating using an ultrasonic transducer, first calculate the speed of the ultrasonic waves in the coating given the frequency and wavelength, then apply the formula 'distance = speed × time'.
Step-by-step explanation:
The time recorded for a coating of 1.00 mm thickness using an ultrasonic transducer can be found using the formula for the speed of sound in a medium: speed = frequency × wavelength. Given the frequency (ƒ) of 25 kHz and the wavelength (λ) of 0.076 m, we can calculate the speed (v) of the ultrasonic waves in the coating. Once we have the speed, we can use the relationship distance = speed × time to find the time taken for the waves to travel through the coating and reflect back.
As the wave travels twice the coating thickness (once down and once back up), for 1.00 mm (or 0.001 m) total distance traveled is 0.002 m. Therefore, the equation to find the time (t) is t = total distance/speed. After calculating the speed v = ƒ × λ, t = 0.002 m / v will give us the required time measurement for a 1.00 mm thick coating.