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Cambridge International AS & A Level · 4 · structured

Distinguish depth, pressure difference and absolute pressure

Distinguish depth, pressure difference and absolute pressure · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
demanding
Marks
4
Topics
1
Answer
Complete
structured4 marks

A point in a stationary oil reservoir is 0.80m below the free surface. Oil density is 850 kg m⁻³, g=9.81m s⁻² and surface air pressure is 1.01×10⁵Pa. A narrow sloping tube reaches the point along a1.20m path.

  1. (a)

    Calculate pressure increase below the surface and absolute pressure at the point. Explain which of 0.80m and1.20m belongs in the equation and why.

    4 marks
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Answer overview(a) Δp=850×9.81×0.80=6.67×10³Pa; absolute p=1.0767×10⁵Pa≈1.08×10⁵Pa. Use vertical depth0.80m, not sloping path length.
01

(a)

4 marks

Calculate pressure increase below the surface and absolute pressure at the point. Explain which of 0.80m and1.20m belongs in the equation and why.

How to approach it

List the given quantities with units, identify the required quantity, write the governing relationship before substituting, and keep extra digits until the final line so rounding does not distort the result.

  1. 1

    Use Δp=ρgΔh with vertical height difference.

  2. 2

    Compute 6670.8 Pa.

  3. 3

    Add surfacepressure 101000 Pa for107670.8 Pa.

  4. 4

    Depth measures vertical fluid-column weight effect; tube path length does not.

Complete marking guidance

Use these worked steps alongside the part-by-part answers. They explain the method and mark allocation; they do not add extra marks.

  1. (a) Use Δp=ρgΔh with vertical height difference.
  2. (a) Compute 6670.8 Pa.
  3. (a) Add surfacepressure 101000 Pa for107670.8 Pa.
  4. (a) Depth measures vertical fluid-column weight effect; tube path length does not.

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Your self-assessment

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