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In an X-ray machine, X-rays are emitted from an emission spot on a tungsten target - AQA - A-Level Physics - Question 4 - 2021 - Paper 5

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In an X-ray machine, X-rays are emitted from an emission spot on a tungsten target. Figure 3 shows how a total shadow is produced in the region QR where no X-rays f... show full transcript

Worked Solution & Example Answer:In an X-ray machine, X-rays are emitted from an emission spot on a tungsten target - AQA - A-Level Physics - Question 4 - 2021 - Paper 5

Step 1

To produce a sharp image of a bone, the partial shadow in region PQ must be no more than 0.10 mm wide. Calculate the maximum distance d between a bone and the plate.

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Answer

To find the maximum distance dd, we can use the geometry of the situation. Using similar triangles, we set up the proportion:

0.1 mm1.0 m=d1.0 m\frac{0.1 \text{ mm}}{1.0 \text{ m}} = \frac{d}{1.0 \text{ m}}

Where:

  • The width of the shadow is 0.10 mm.
  • The height of the emission spot is 1.0 m.

Solving for dd gives:

d=0.1 mm1.0 m×1.0 md = \frac{0.1 \text{ mm}}{1.0 \text{ m}} \times 1.0 \text{ m}

Converting units, we know that 0.1 mm=1.0×104 m0.1 \text{ mm} = 1.0 \times 10^{-4} \text{ m}:

d=1.0×104 md = 1.0 \times 10^{-4} \text{ m}

Step 2

Discuss whether an X-ray image of a chest or an X-ray image of a hand is likely to be sharper when exposed to the same X-ray source.

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Answer

The sharpness of an X-ray image is largely influenced by the thickness of the object being imaged.

  1. Chest Imaging: The chest is thicker and has structures that do not have a uniform thickness. Parts of the chest that are closer to the X-ray source will cast a shadow producing an unsharp image, as the front and back cannot be focused at the same time. This results in a blurrier image.

  2. Hand Imaging: The hand is generally thinner than the chest and can be positioned closer to the X-ray plate. Keeping the hand still during the imaging process allows for a sharper focus, preventing unnecessary blurring due to movement.

Overall, an X-ray image of a hand is likely to be sharper than that of a chest when exposed to the same X-ray source.

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