Free FRCR Physics questions

40 practice questions in the same format as the First FRCR Physics exam: a stem and five items, each one true or false. Answer them, check, and read why every answer is right. No sign-up.

How the exam marks these

The RCR paper has 40 questions like these, 200 true/false items in two hours. Each item is marked on its own and there is no negative marking, so answer every one. Read each item as a complete sentence: one wrong word, such as “always” or a unit off by a factor of ten, makes it false.

For how the exam works and how to plan your revision, read what FRCR Physics is and the true/false traps examiners set.

X-ray physics questions

Question 1

Regarding the anode (target) of a diagnostic X-ray tube:

  1. ATungsten is used mainly because of its high atomic number and high melting point.

  2. BMost of the energy of the electrons striking the target is converted into X-rays.

  3. CRhenium is alloyed with tungsten in the target to reduce surface cracking.

  4. DA rotating anode allows a higher tube rating than a stationary anode with the same focal spot size.

  5. EDuring an exposure, the anode is held at a negative potential relative to the filament.

Question 2

Concerning the X-ray spectrum from a tungsten target:

  1. AThe maximum photon energy in keV is numerically equal to the tube voltage in kVp.

  2. BTungsten K-characteristic radiation is produced at a tube voltage of 50 kVp.

  3. CBremsstrahlung output increases with the atomic number of the target.

  4. DThe energies of the characteristic lines rise as the tube voltage increases.

  5. EBremsstrahlung produces a continuous spectrum of photon energies.

Question 3

Increasing the tube voltage (kVp), with all other settings unchanged:

  1. AIncreases both the maximum and the mean photon energy of the beam.

  2. BIncreases the X-ray output approximately in proportion to kVp squared.

  3. CReduces subject contrast between soft tissue and bone.

  4. DHas no effect on the amount of scatter reaching the detector.

  5. EIncreases the proportion of photoelectric interactions in soft tissue.

Question 4

Concerning Compton scattering:

  1. AIt involves an outer-shell, loosely bound electron.

  2. BIts probability per electron is largely independent of atomic number.

  3. CThe scattered photon has the same energy as the incident photon.

  4. DIt is the dominant interaction in soft tissue above about 30 keV.

  5. EBack-scattered photons carry more energy than forward-scattered photons.

Question 5

Regarding attenuation and the half-value layer (HVL):

  1. AAfter two HVLs, 25% of a narrow monoenergetic beam remains.

  2. BThe HVL equals 0.693 divided by the linear attenuation coefficient.

  3. CThe linear attenuation coefficient of water does not depend on photon energy.

  4. DFor a polyenergetic beam, the second HVL is thicker than the first.

  5. EBroad-beam geometry gives a smaller measured HVL than narrow-beam geometry.

Question 6

Regarding the focal spot and geometric unsharpness:

  1. AGeometric unsharpness equals the focal spot size multiplied by the object-to-image distance divided by the source-to-object distance.

  2. BA steeper (smaller) target angle makes the focal spot look smaller from the patient’s side.

  3. CIncreasing the source-to-image distance increases geometric unsharpness.

  4. DA smaller anode angle increases the field size the beam can cover.

  5. EBecause of the heel effect, beam intensity is higher on the anode side of the field.

More on this topic: X-ray physics question bank

CT questions

Question 7

Regarding CT numbers and display:

  1. AWater is 0 HU and air is approximately −1000 HU.

  2. BThe CT number of every tissue is independent of the tube voltage.

  3. CFat measures around −100 HU.

  4. DIncreasing the window width increases the displayed contrast.

  5. EThe window level sets the CT number shown at the middle of the grey scale.

Question 8

Regarding CT dose descriptors:

  1. ACTDIvol takes helical pitch into account.

  2. BDLP equals CTDIvol multiplied by the scan length.

  3. CCTDIvol is the absorbed dose received by the individual patient.

  4. DDoubling the scan length, all else equal, doubles the DLP but not the CTDIvol.

  5. EAutomatic tube current modulation raises the dose to thinner parts of the body.

Question 9

Regarding noise in CT images:

  1. AQuantum noise is proportional to 1/√mAs.

  2. BHalving the reconstructed slice thickness increases noise by about √2.

  3. CA sharp (bone) reconstruction kernel reduces image noise.

  4. DIterative reconstruction can reduce noise for a given dose.

  5. EImage noise does not depend on patient size.

Question 10

Regarding CT artefacts:

  1. ABeam hardening can cause cupping in images of a uniform phantom.

  2. BA faulty detector element on a third-generation scanner produces a ring artefact.

  3. CPartial volume artefact is reduced by using thinner slices.

  4. DMotion artefact is reduced by using a longer rotation time.

  5. EPhoton starvation streaks are worst along the shortest path through the patient.

Question 11

Regarding helical multislice CT:

  1. APitch is the table travel per rotation divided by the total collimated beam width.

  2. BIncreasing the pitch with the mAs unchanged increases patient dose.

  3. CIsotropic voxels allow images to be reformatted in any plane without loss of resolution.

  4. DThe reconstructed slice thickness is fixed by the detector row width and cannot be changed after the scan.

  5. EOverbeaming is proportionally worse for narrow total beam collimations.

More on this topic: CT question bank

Ultrasound questions

Question 12

Regarding the propagation of ultrasound:

  1. AScanners assume a speed of sound of 1540 m/s in soft tissue.

  2. BThe speed of sound in tissue depends on the ultrasound frequency.

  3. CThe wavelength of 5 MHz ultrasound in soft tissue is about 0.3 mm.

  4. DSound travels faster in air than in soft tissue.

  5. EAcoustic impedance is the product of density and the speed of sound.

Question 13

Regarding reflection and attenuation of ultrasound:

  1. AThe fraction reflected at an interface depends on the difference in acoustic impedance across it.

  2. BAlmost all of the beam is reflected at a soft tissue–air interface.

  3. CAttenuation in soft tissue is roughly 0.5–1 dB per cm per MHz.

  4. DHigher-frequency ultrasound penetrates deeper into tissue.

  5. ETime gain compensation corrects for refraction of the beam.

Question 14

Regarding spatial resolution in ultrasound:

  1. AAxial resolution is about half the spatial pulse length.

  2. BIncreasing the transmit frequency improves axial resolution.

  3. CLateral resolution is best in the focal zone.

  4. DDamping the transducer element lengthens the pulse.

  5. EElevation (slice-thickness) resolution is determined by the pulse length.

Question 15

Regarding Doppler ultrasound:

  1. AThe Doppler shift is proportional to the cosine of the angle between the beam and the direction of flow.

  2. BIn pulsed Doppler, aliasing occurs when the Doppler shift exceeds half the pulse repetition frequency.

  3. CIncreasing the transmitted frequency reduces aliasing.

  4. DWith the beam at 90° to the flow, no Doppler shift is measured.

  5. EVelocity estimates are more accurate at an insonation angle of 80° than at 45°.

Question 16

Regarding ultrasound artefacts:

  1. AAcoustic shadowing occurs behind strongly attenuating or reflecting structures such as gallstones.

  2. BPosterior acoustic enhancement occurs behind fluid-filled structures.

  3. CReverberation produces equally spaced repeated echoes.

  4. DMirror-image artefact places a duplicate structure on the transducer side of a strong reflector.

  5. ESide-lobe artefacts are caused by setting the pulse repetition frequency too high.

More on this topic: Ultrasound question bank

MRI questions

Question 17

Regarding precession and resonance in MRI:

  1. AThe Larmor frequency is proportional to the main magnetic field strength.

  2. BThe Larmor frequency of hydrogen at 1.5 T is about 64 MHz.

  3. CDoubling B₀ halves the Larmor frequency.

  4. DThe RF pulse must be at the Larmor frequency to tip the magnetisation.

  5. EAt equilibrium, the net magnetisation lies perpendicular to B₀.

Question 18

Regarding relaxation:

  1. AT1 describes the recovery of longitudinal magnetisation.

  2. BIn tissue, T2 is never longer than T1.

  3. CT2* is longer than T2.

  4. DT1 values of tissues generally increase with field strength.

  5. EFat has a long T1 compared with water.

Question 19

Regarding image weighting in spin echo MRI:

  1. AT1 weighting uses a short TR and a short TE.

  2. BT2 weighting uses a long TR and a long TE.

  3. CCSF is bright on T1-weighted images.

  4. DFat appears bright on both T1-weighted and fast spin echo T2-weighted images.

  5. EProton density weighting uses a short TR and a long TE.

Question 20

Regarding MRI safety:

  1. AOn a superconducting scanner, the static magnetic field is present even when no scan is running.

  2. BSpecific absorption rate (SAR) relates to heating of the patient by RF energy.

  3. CThe loud acoustic noise comes mainly from the RF coils.

  4. DRapidly switched gradients can cause peripheral nerve stimulation.

  5. ETitanium implants are strongly attracted by the static magnetic field.

More on this topic: MRI question bank

Nuclear medicine questions

Question 21

Regarding technetium-99m:

  1. AIt emits a gamma photon of 140 keV.

  2. BIts physical half-life is about 66 hours.

  3. CIt is obtained from a molybdenum-99 generator.

  4. DIts decay changes the atomic number of the nucleus.

  5. EMolybdenum breakthrough can be checked by measuring the eluate inside a lead shield.

Question 22

Regarding the gamma camera:

  1. AThe sodium iodide crystal converts gamma photons into light.

  2. BPhotomultiplier tubes convert the light into an electrical signal and amplify it.

  3. CIncreasing the crystal thickness sharpens the intrinsic resolution of the camera.

  4. DWith a parallel-hole collimator, spatial resolution worsens with distance from the collimator face.

  5. EA high-sensitivity collimator has longer, narrower holes than a high-resolution collimator.

Question 23

Regarding positron emission tomography (PET):

  1. AAnnihilation produces two 511 keV photons travelling in almost opposite directions.

  2. BThe radionuclide in FDG decays with a half-life of a little under two hours.

  3. CCoincidence detection removes the need for a lead collimator.

  4. DThe fluorine-18 used for FDG is made by neutron irradiation in a reactor.

  5. ERandom coincidences increase as the activity in the field of view falls.

Question 24

Regarding radioactive decay and half-life:

  1. AActivity is measured in becquerels, where 1 Bq is one decay per second.

  2. BAfter four half-lives, about 6% of the original activity remains.

  3. CThe effective half-life is longer than the physical half-life.

  4. DIf the physical and biological half-lives are both 6 hours, the effective half-life is 3 hours.

  5. EThe physical half-life of a radionuclide depends on its temperature and pressure.

More on this topic: Nuclear medicine question bank

Radiation protection questions

Question 25

Regarding radiation dose quantities:

  1. AAbsorbed dose is measured in gray, where 1 Gy is 1 joule per kilogram.

  2. BEquivalent dose is absorbed dose multiplied by the radiation weighting factor.

  3. CThe radiation weighting factor for X-rays is 20.

  4. DThe tissue weighting factors used to calculate effective dose add up to 1.

  5. EEffective dose can be measured directly with a dosemeter placed on the patient.

Question 26

Under the Ionising Radiations Regulations 2017 (IRR17):

  1. AThe annual effective dose limit for an employee aged 18 or over is 50 mSv.

  2. BThe annual equivalent dose limit for the lens of the eye of an employee is 20 mSv.

  3. CThe annual effective dose limit for a member of the public is 1 mSv.

  4. DThe annual equivalent dose limit for the skin of an employee is 150 mSv.

  5. EEmployees likely to receive an effective dose above 6 mSv a year must be designated as classified persons.

Question 27

Regarding staff protection in fluoroscopy:

  1. ADoubling the distance from a point source reduces the dose rate to a quarter.

  2. BThe main source of staff dose is scatter from the patient.

  3. CWith a lateral C-arm projection, staff on the image detector side receive more dose than those on the tube side.

  4. DLead aprons are designed to protect against the primary beam.

  5. EAn under-couch tube gives a lower dose to the operator's head and eyes than an over-couch tube.

Question 28

Under the Ionising Radiation (Medical Exposure) Regulations, IR(ME)R:

  1. AThe referrer must supply the medical information needed to justify the exposure.

  2. BThe practitioner is responsible for justifying the exposure.

  3. CAn operator is a person entitled by the employer to carry out practical aspects of an exposure.

  4. DA repeat examination on the same patient does not need to be justified.

  5. EDiagnostic reference levels are dose limits that must not be exceeded for any patient.

More on this topic: Radiation protection question bank

Digital radiography questions

Question 29

Regarding flat panel detectors:

  1. AIndirect conversion detectors use a scintillator such as caesium iodide.

  2. BDirect conversion detectors use amorphous selenium to convert X-rays to charge.

  3. CColumnar caesium iodide crystals reduce lateral spread of light.

  4. DDirect conversion detectors suffer more from light spread than indirect detectors.

  5. EThe thin-film transistor array is read out by laser scanning.

Question 30

Regarding digital image matrix and file size:

  1. AA 2048 × 2048 image stored at 16 bits per pixel needs about 8 MB.

  2. BThe limiting spatial frequency of a digital detector is 1 / (2 × pixel pitch).

  3. CHalving the pixel pitch on a detector of the same size doubles the number of pixels.

  4. DA 10-bit image can display 1024 grey levels.

  5. ELossless compression permanently discards some image data.

Question 31

Regarding PACS and DICOM:

  1. AThe DICOM header carries patient and acquisition information with the image.

  2. BHL7 is the messaging standard commonly used between the RIS and the hospital information system.

  3. CA modality worklist reduces manual entry of patient details at the scanner.

  4. DDICOM is a lossy image compression method.

  5. EReporting monitors need no quality control once installed.

Question 32

Regarding exposure in digital radiography:

  1. ADigital detectors have a wider dynamic range than film-screen systems.

  2. BOverexposure can go unnoticed because image processing normalises brightness.

  3. CThe exposure index reflects the exposure reaching the detector, not the patient dose.

  4. DUnderexposed digital images appear too light.

  5. EDoubling the mAs halves the quantum noise.

More on this topic: Digital radiography question bank

Image quality questions

Question 33

Regarding the modulation transfer function (MTF):

  1. AThe MTF describes how well a system transfers contrast at each spatial frequency.

  2. BThe MTF increases with spatial frequency.

  3. CAt a given spatial frequency, a system with a higher MTF reproduces that detail with more contrast.

  4. DThe MTF of a complete imaging chain is the sum of its components' MTFs.

  5. ESpatial resolution is commonly expressed in line pairs per millimetre.

Question 34

Regarding noise in X-ray images:

  1. AQuantum noise follows Poisson statistics.

  2. BSignal-to-noise ratio improves with the square root of the number of detected photons.

  3. CQuadrupling the dose halves the relative quantum noise.

  4. DThe detective quantum efficiency (DQE) of a well-designed detector can exceed 1.

  5. EIncreasing the pixel size increases the quantum noise in each pixel.

Question 35

Regarding scatter and anti-scatter grids:

  1. AGrid ratio is the height of the lead strips divided by the width of the gaps between them.

  2. BA higher grid ratio removes more scatter.

  3. CUsing a grid increases patient dose.

  4. DGrids are routinely needed for adult extremity radiographs.

  5. EThe air-gap technique reduces scatter without increasing magnification.

Question 36

Regarding contrast in X-ray imaging:

  1. ASubject contrast falls as kVp increases.

  2. BIodine contrast is most effective at photon energies just above 33 keV.

  3. CScattered radiation reduces image contrast.

  4. DCT has poorer contrast resolution than plain radiography.

  5. EThe K-edge of barium is lower than that of iodine.

Fluoroscopy questions

Question 37

Regarding patient dose in fluoroscopy:

  1. APulsed fluoroscopy at a lower pulse rate reduces patient dose.

  2. BLast-image hold helps reduce screening time.

  3. CElectronic magnification on an image intensifier increases the patient entrance dose rate.

  4. DMoving the patient closer to the X-ray tube reduces skin dose.

  5. ERaising the image detector further from the patient reduces patient dose.

Question 38

Regarding the image intensifier:

  1. AThe input phosphor is usually caesium iodide.

  2. BBrightness gain equals minification gain multiplied by flux gain.

  3. CPincushion distortion arises from the curved input surface.

  4. DThe electron image is magnified onto the output screen.

  5. EVeiling glare improves image contrast.

Question 39

Regarding the kerma-area product (KAP):

  1. AKAP stays the same at any distance from the source, ignoring attenuation and scatter.

  2. BKAP is usually measured with a transmission ionisation chamber at the collimator.

  3. CLong interventional procedures can cause deterministic skin injury.

  4. DKAP is a good measure of peak skin dose.

  5. ECollimating the beam more tightly increases the KAP.

More on this topic: Fluoroscopy question bank

Mammography questions

Question 40

Regarding mammography:

  1. ATypical tube voltages are in the range 25–35 kV.

  2. BA molybdenum target produces characteristic X-rays at about 17.5 and 19.6 keV.

  3. CThe cathode is positioned at the chest wall side.

  4. DStandard mammography uses a tungsten target with 2 mm of aluminium filtration.

  5. EBreast compression increases the dose to the breast.

That's all 40. The full bank has 3,500 items.

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