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MYP Physics · 19 · data analysis

Find depth from an ultrasound echo

Physics in society · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
routine
Marks
6
Topics
1
Answer
Complete
data analysis6 marks

An ultrasound pulse travels through soft tissue at 1540 m s⁻¹. The strongest echo returns 80 μs after the pulse is sent.

  1. a

    Explain Explain why the distance to the boundary is half the total pulse travel distance.

    2 marks
  2. b

    Calculate Calculate the depth of the reflecting boundary.

    3 marks
  3. c

    State State one reason the real depth may differ from this result.

    1 mark
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Answer overviewKey answer: States that the pulse travels from the probe to the boundary. States that the echo then returns from the boundary to the probe, so the recorded time is for a round trip. Converts 80 μs to 80 × 10⁻⁶ s.
01

a

2 marks

Explain Explain why the distance to the boundary is half the total pulse travel distance.

How to approach it

Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.

  1. 1

    States that the pulse travels from the probe to the boundary.

  2. 2

    States that the echo then returns from the boundary to the probe, so the recorded time is for a round trip.

02

b

3 marks

Calculate Calculate the depth of the reflecting boundary.

How to approach it

Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.

  1. 1

    Converts 80 μs to 80 × 10⁻⁶ s.

  2. 2

    Uses depth = vt ÷ 2.

  3. 3

    Obtains 1540 × 80 × 10⁻⁶ ÷ 2 = 0.0616 m, or 6.16 cm.

03

c

1 mark

State State one reason the real depth may differ from this result.

How to approach it

Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.

  1. 1

    States a valid limitation such as wave speed varying between tissues, uncertain echo origin, probe angle, timing resolution, or layered propagation.

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