Magnetic resonance imaging (MRI) is a common non-invasive medical imaging method with high resolution and soft tissue contrast. The main component of an MRI scanner is a very strong superconducting magnet with the magnetic field strength measured in Teslas (T). The magnet resembles a large pipe, 1.25 m long, open on both ends, with a bore diameter of 0.6 m.The magnetic field is generated by an electric current flowing in coils of superconducting wire. The superconductor is cooled to 4 K with liquid helium and has zero electrical resistance. Liquid helium that boils out of the MRI scanner is stored in a collection system, cooled back into a liquid, and returned to the MRI scanner.During imaging, the MRI scanner generates rapid magnetic field oscillations that cause vibrations and loud sounds. Researchers measured the sounds of MRI at different magnetic field strengths and compared them to common noise sources. Table 1 lists the sound intensity in decibels (dB) and predominant frequency for these sounds.Table 1 Sound Intensity and Predominant Frequency from Different Noise SourcesThe noise frequencies were determined using frequency selective RC circuits with a resistor R and capacitor C in series. Sounds with frequencies above the cutoff frequency fc of the circuit were suppressed. The value of fc in Hz was calculated with Equation 1.fc=12πRC𝑓c=12𝜋RCEquation 1MRI can be combined with another imaging method, positron emission tomography (PET), to detect cancer. PET imaging maps the uptake of a radioactive metabolite. The radioactive decay emits a positron that annihilates with an electron and forms gamma rays that are imaged by the scanner. Question 52According to the data in Table 1, which of the following makes noise at a frequency that resonates in the bore of an MRI magnet? (Note: The speed of sound in air is 350 m/s.)A.1.0 T MRIB.1.5 T MRIC.3.0 T MRID.Gas lawnmower
Question
Magnetic resonance imaging (MRI) is a common non-invasive medical imaging method with high resolution and soft tissue contrast. The main component of an MRI scanner is a very strong superconducting magnet with the magnetic field strength measured in Teslas (T). The magnet resembles a large pipe, 1.25 m long, open on both ends, with a bore diameter of 0.6 m.The magnetic field is generated by an electric current flowing in coils of superconducting wire. The superconductor is cooled to 4 K with liquid helium and has zero electrical resistance. Liquid helium that boils out of the MRI scanner is stored in a collection system, cooled back into a liquid, and returned to the MRI scanner.During imaging, the MRI scanner generates rapid magnetic field oscillations that cause vibrations and loud sounds. Researchers measured the sounds of MRI at different magnetic field strengths and compared them to common noise sources. Table 1 lists the sound intensity in decibels (dB) and predominant frequency for these sounds.Table 1 Sound Intensity and Predominant Frequency from Different Noise SourcesThe noise frequencies were determined using frequency selective RC circuits with a resistor R and capacitor C in series. Sounds with frequencies above the cutoff frequency fc of the circuit were suppressed. The value of fc in Hz was calculated with Equation 1.fc=12πRC𝑓c=12𝜋RCEquation 1MRI can be combined with another imaging method, positron emission tomography (PET), to detect cancer. PET imaging maps the uptake of a radioactive metabolite. The radioactive decay emits a positron that annihilates with an electron and forms gamma rays that are imaged by the scanner. Question 52According to the data in Table 1, which of the following makes noise at a frequency that resonates in the bore of an MRI magnet? (Note: The speed of sound in air is 350 m/s.)A.1.0 T MRIB.1.5 T MRIC.3.0 T MRID.Gas lawnmower
Solution
The question is asking which noise source resonates in the bore of an MRI magnet. To answer this, we need to calculate the resonant frequency of the MRI bore and compare it to the frequencies listed in Table 1.
The resonant frequency of a pipe open at both ends is given by the formula:
f = v / 2L
where:
- f is the frequency,
- v is the speed of sound in air (given as 350 m/s), and
- L is the length of the pipe (given as 1.25 m for the MRI bore).
Substituting the given values into the formula, we get:
f = 350 m/s / (2 * 1.25 m) = 140 Hz
Now we need to compare this frequency to the frequencies listed in Table 1. Unfortunately, Table 1 is not provided in the question. However, you would look for the source that has a frequency closest to 140 Hz. That would be the noise source that resonates in the bore of the MRI magnet.
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