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Friday, March 25, 2016

X - Questions markscheme

1.       (a)     (to a maximum of 7 marks) e.g.
•    X-ray source + detectors round patient …
•    … rotated around patient …/ the signal / X-ray passes through the
same section of the body from different directions.
•    … producing a (thin) slice / cross-section.
•    Idea of absorption / less gets through / more is absorbed …
•    by dense material / bone / material of high Z / High Z related to
materials such as bone / Low Z to materials such as soft tissue
•    attenuation is by the photo-electric effect
•    the possibility of using a contrast medium.
•    better than a simple X-ray at differentiating other organs.
•    patient is moved a small distance and the process is repeated /
process continues in a spiral.
•    a computer (analyses the data) / identifies the position of organ/bone …
•    … and forms a 3-D image.                                                                          7
  (b)   •    Patients are exposed to ionising radiation. (1)
•    (Ionising radiation) could cause cancer / damage cells (1)
          Plus a maximum of ONE from:-e.g. (1)
•    It’s expensive.
•    Time consuming / uses valuable resources, etc..                                          3
[10]

  2.     (a)     Low energy X-rays are absorbed by the skin / undesirable as can cause
damage / greater ionising (1)                                                                             1
  (b)   I = I0e–µx (1)                              ln I = ln Io – µ x
Io =  (1)                     ln Io = ln 347 + 250 × 0.025
Io = 1.79 × 105 Wm–2 (1)                                                                                3
  (c)   P = I × A (0)
P = 347 × π × (0.10 × 10–2)2 (1)
P = 1.09 × 10–3 W (1)                                                                                       2
  (d)   (i)      P = 18 × 100 / 0.15 (1)
P = 12000 W (1)                                                                                      2
  (ii)   12000 / 7.5 × 1017 (= 1.6 × 10–14 J = energy of each electron) (1)
0.5 m v2 = 1.6 × 10–14 (0)
v = 1.9 × 108 ms–1 (1)                                                                             2


(iii)    tube current = 7.5 × 1017 × 1.6 × 10–19 = 0.12 A (1)
V × I = 12000 (1)
V =12000 / 0.12 = 100,000 V or 100 kV (1)                                           3
[13]

  3.     Formation of image to a max 3 e.g.
          X-rays are detected by a film / scintillation counter etc., (1)
High ‘Z’ means high attenuation / low transmission
[Allow atomic mass / nucleon number] (1)
shadow on the film / reference to exposure after attenuation (1)
Reference to photoelectric effect / energy range around 1–100keV /
absorption ∞ Z3 (1)
          Explanation of the use of a contrast medium to a max.4 e.g.
          X-rays do not differentiate / show up soft tissues well …(1)
… as similar absorption / ‘Z’ is similar / ‘Z’ is low for these tissues. (1)
Contrast medium has high ‘Z’ / absorbs X-rays strongly.(1)
It is usually taken orally / as an enema / can be injected.(1)
          Example of type of structure that can be imaged to a max.1 e.g.
          digestive tract / throat / stomach.(1)                                                            to a max. 8
[8]



Wednesday, March 23, 2016

y12 Assessed Homework

Young’s Slit - Assessed Homework.


Name___________________________________
Multiple choice questions            
Circle the correct answer
1              Path difference is measured in                  (1 mark)
A             Degrees
B             Metres
C             Radians
D             Wavelengths
2              Choose the best combination for an experiment to produce an interference pattern with light using two slits.                       (1 mark)
Answer
D
λ
a
A
2cm
600nm
0.5mm
B
2m
500nm
0.5mm
C
5m
6 x 10-9 m
2cm
D
2m
200nm
0.25mm

3              In a Young’s slit experiment a coherent source of light of wavelength 600 nm is used. The slits are 0.4mm apart and the screen is 1.2m from the sources. The fringe separation is                 
A             1.8 x 10-3 mm
B             18 mm
C             1.8 x 10-3 m
D             18 cm                                                                                                    (4 marks)

4.            In the pattern formed by a Young’s slit experiment the distance from the central fringe to the 10th bright fringe is 3.44cm. If the screen is 2m form the sources and λ = 0.589 µm the slit separation is
A             3.4 mm
B             2.9 mm
C             0.34 mm
D             0.74mm                                                                                                (4 marks)



Work for y13 - Thursday 24/3 answers will be here on Friday

1.       Full-body CT scans produce detailed 3-D information about a patient and can identify cancers at an early stage in their development.
(a)     Describe how a CT scan image is produced, referring to the physics principles involved.
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[7]
  (b)   State and explain two reasons why full-body CT scans are not offered for regular checking of healthy patients.
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[3]
[Total 10 marks]

  2.     In order to take an X-ray photograph, the X-ray beam is passed through an aluminium filter to remove low energy X-ray photons before reaching the patient.
(a)     Suggest why it is necessary to remove these low-energy X-rays.
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[1]


(b)     The average linear attenuation coefficient for X-rays that penetrate the aluminium is 250 m–1. The intensity of an X-ray beam after travelling through 2.5 cm of aluminium is 347 W m–2.
          Show that the intensity incident on the aluminium is about 2 × 105 W m–2.








[3]
  (c)   The X-ray beam at the filter has a circular cross-section of diameter 0.20 cm. Calculate the power of the X-ray beam emerging from the aluminium filter. Assume that the beam penetrates the aluminium filter as a parallel beam.







power = ............................ W
[2]


(d)     The total power of X-rays generated by an X-ray tube is 18W.
The efficiency of conversion of kinetic energy of the electrons into X-ray photon energy is 0.15%.
(i)      Calculate the power of the electron beam.






power = ..................... W
[2]
  (ii)    Calculate the velocity of the electrons if the rate of arrival of electrons is 7.5 × 1017 s–1. Relativistic effects may be ignored.



velocity = ..................... m s–1
[2]
(iii)     Calculate the p.d. across the X-ray tube required to give the electrons the velocity calculated in (ii).







p.d.= ........................ V
[3]
[Total 13 marks]

 
.
  Describe the use of a contrast medium, such as barium, in the imaging of internal body structures. Your answer should include
        how an image of an internal body structure is produced from an X-ray beam
        an explanation of the use of a contrast medium
        examples of the types of structure that can be imaged by this process.
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[Total 8 marks]



Tuesday, March 15, 2016

Y12 Challenge solution


y12 Refractive index


Y12 Challenge question

Interference fringes are produced by Young’s method. The wavelength of light is 6.0 x10-5 cm. When a film of material 3.6 x10-3 cm thick was placed over one of the two slits, the fringe pattern was displaced by a distance equal to 30 times that between two adjacent fringes. Calculate the refractive index of the material. To which side are the fringes displaced?

Solution will be published at 4 pm

Thursday, March 10, 2016

X Ray imaging question

X-ray (photons penetrate patient (1)
attenuation by different media / bones attenuate more than soft tissue (1)
less X-ray reach film under bone / shadow effect (1)
intensity of X-rays is proportional  to darkening of film / ref. To fogging or
blackening (1)
          X-ray photons hit crystals / atoms in intensifying layer (1)
atoms become excited / fluorescence occurs (1)
emitting light (photons) (1)
detail: as they return to ground state (1)
so extra fogging of film (1)
detail: metal backing stops X-rays passing through / film more sensitive to light
than X-rays / most X-rays pass through the film / double sided / photographic
film / more contrast but not clearer (1)
          Response is quicker / less X-rays needed (1)
so less exposure (1) to maximum of 8                                                                              8
[8]