OCR · GCSE · Physics

    Course version: J249 · Version from Sept 2018

    Explain why pressure in a liquid varies with depth and density and how…

    Full specification wording

    Pressure: explain why pressure in a liquid varies with depth and density and how this leads to an upwards force on a partially submerged object (content found only in the physics separate science qualification) (Higher tier only)

    Pressure in a liquid increases with depth because more liquid lies above and its weight presses down; it also increases with density because a denser liquid has more mass in the same volume.

    Checked against the OCR J249 specification (opens in a new tab) on .

    • Point 11 of 12
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Pressure in a liquid increases with depth because more liquid lies above and its weight presses down; it also increases with density because a denser liquid has more mass in the same volume. The pressure at a point is given by p = hρg, where h is depth, ρ is density and g is gravitational field strength. On a partially submerged object, the pressure on the lower surface exceeds the pressure on the upper surface, so the liquid pushes up more strongly than it pushes down. This net upward force is upthrust, and it equals the weight of fluid displaced.

    What earns the marks

    • Explains that pressure increases with depth because the weight of liquid above a point increases.
    • Explains that pressure increases with density because a denser liquid has more mass in the same volume.
    • Applies p = hρg to relate pressure to depth, density and gravitational field strength.
    • Explains that greater pressure on the lower surface than the upper surface produces a net upward force, the upthrust.

    Common mistakes and how to put them right

    • States that pressure depends only on depth and ignores density.

      Put it right: Include density in the relationship p = hρg.

    • Claims the upward force comes from the object's own weight.

      Put it right: Attribute upthrust to the greater pressure on the lower surface.

    • Treats pressure as the same at all depths.

      Put it right: Recognise that pressure rises as depth increases.

    Exam tips

    • Use p = hρg and identify each symbol before substituting values.
    • Compare pressure on the upper and lower surfaces to justify the direction of the net force.
    • Link the net upward force to the weight of fluid displaced when explaining upthrust.

    Try the lesson

    The start of the Pressure: explain why pressure in a liquid varies with depth and density and how this leads to an upwards force on a partially submerged object (content found only in the physics separate science qualification) (Higher tier only) lesson, made from checked teaching notes for this specification point.

    Have a go first

    Two containers are filled to the same depth, one with water and one with a denser liquid. How does the pressure at the bottom of the containers compare?

    Listen

    Pressure in a liquid increases with depth because more liquid lies above and its weight presses down; it also increases with density because a denser liquid has more mass in the same volume. The pressure at a point is given by p = hρg, where h is depth, ρ is density and g is gravitational field strength. On a partially submerged object, the pressure on the lower surface exceeds the pressure on the upper surface, so the liquid pushes up more strongly than it pushes down. This net upward force is upthrust, and it equals the weight of fluid displaced. A strong answer earns marks for these points. Explains that pressure increases with depth because the weight of liquid above a point increases. Explains that pressure increases with density because a denser liquid has more mass in the same volume. Applies p = hρg to relate pressure to depth, density and gravitational field strength. Explains that greater pressure on the lower surface than the upper surface produces a net upward force, the upthrust. Exam tip: Use p = hρg and identify each symbol before substituting values.

    See it

    A flowchart running from top to bottom. Two starting boxes sit side by side: 'More liquid above a point' leads to 'Weight of liquid presses down', which leads to 'Pressure increases with depth'; and 'Denser liquid has more mass in same volume' leads to 'Pressure increases with density'. Both of these pressure boxes lead into a single box 'p = hρg'. From there the flow continues to 'Pressure on lower surface exceeds pressure on upper surface', then to 'Liquid pushes up more strongly than it pushes down', then to 'Net upward force: upthrust', and finally to 'Upthrust equals weight of fluid displaced'.
    It shows how depth and density increase liquid pressure, how p = hρg relates them, and how unequal pressures on the surfaces of a partially submerged object produce upthrust.

    Key words

    Say what each word means before you turn the card.

    Pressure increasing with depth

    Try answering aloud or in your head before turning the card.

    Pressure increasing with density

    Try answering aloud or in your head before turning the card.

    The relationship p = hρg

    Try answering aloud or in your head before turning the card.

    Net upward force on a submerged surface

    Try answering aloud or in your head before turning the card.

    See every definition
    Pressure increasing with depth
    Pressure in a liquid increases with depth because more liquid lies above and its weight presses down.
    Pressure increasing with density
    Pressure increases with density because a denser liquid has more mass in the same volume.
    The relationship p = hρg
    The pressure at a point is given by p = hρg, where h is depth, ρ is density and g is gravitational field strength.
    Net upward force on a submerged surface
    The pressure on the lower surface exceeds the pressure on the upper surface, so the liquid pushes up more strongly than it pushes down.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A flowchart running from top to bottom. Two starting boxes sit side by side: 'More liquid above a point' leads to 'Weight of liquid presses down', which leads to 'Pressure increases with depth'; and 'Denser liquid has more mass in same volume' leads to 'Pressure increases with density'. Both of these pressure boxes lead into a single box 'p = hρg'. From there the flow continues to 'Pressure on lower surface exceeds pressure on upper surface', then to 'Liquid pushes up more strongly than it pushes down', then to 'Net upward force: upthrust', and finally to 'Upthrust equals weight of fluid displaced'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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