OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    (d) characteristics of a white dwarf; electron degeneracy pressure;…

    Full specification wording

    Stars: (d) characteristics of a white dwarf; electron degeneracy pressure; Chandrasekhar limit

    A white dwarf is the dense, hot remnant left after a low-mass star ejects its outer layers.

    Checked against the OCR H556 specification (opens in a new tab) on .

    • Point 4 of 7
    • 3 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    A white dwarf is the dense, hot remnant left after a low-mass star ejects its outer layers. It is roughly the size of a planet but contains about the mass of the Sun, so its density is extremely high, around 10⁹ kg m⁻³. It no longer fuses nuclei; instead, it is supported against gravitational collapse by electron degeneracy pressure, which arises because electrons cannot occupy the same quantum state. A white dwarf gradually cools and dims. The Chandrasekhar limit is the maximum mass a white dwarf can have, approximately 1.4 solar masses; above this limit, degeneracy pressure cannot support the star. In this specification, the limit is used to explain why more massive remnants collapse further.

    What earns the marks

    • A white dwarf is a small, dense, hot stellar remnant.
    • Electron degeneracy pressure arises from the exclusion principle limiting electron states.
    • The Chandrasekhar limit is about 1.4 solar masses.
    • Above the Chandrasekhar limit, electron degeneracy pressure cannot prevent further collapse.

    Common mistakes and how to put them right

    • Thinking a white dwarf shines by fusion.

      Put it right: Fusion has stopped, and it shines by stored thermal energy as it cools.

    • Confusing electron degeneracy pressure with gas pressure.

      Put it right: Degeneracy pressure does not depend on temperature in the same way and arises from quantum restrictions on electrons.

    • Treating the Chandrasekhar limit as a minimum mass.

      Put it right: It is a maximum mass, approximately 1.4 solar masses.

    Exam tips

    • Quote the Chandrasekhar limit as approximately 1.4 solar masses, not an exact value.
    • Link electron degeneracy pressure to the exclusion principle for a precise explanation.
    • In multiple-choice questions, reject options that give a white dwarf an active fusion core.

    Try the lesson

    The start of the Stars: (d) characteristics of a white dwarf; electron degeneracy pressure; Chandrasekhar limit lesson, made from checked teaching notes for this specification point.

    Listen

    A white dwarf is the dense, hot remnant left after a low-mass star ejects its outer layers. It is roughly the size of a planet but contains about the mass of the Sun, so its density is extremely high, around 10⁹ kg m⁻³. It no longer fuses nuclei; instead, it is supported against gravitational collapse by electron degeneracy pressure, which arises because electrons cannot occupy the same quantum state. A white dwarf gradually cools and dims. The Chandrasekhar limit is the maximum mass a white dwarf can have, approximately 1.4 solar masses; above this limit, degeneracy pressure cannot support the star. In this specification, the limit is used to explain why more massive remnants collapse further. A strong answer earns marks for these points. A white dwarf is a small, dense, hot stellar remnant. Electron degeneracy pressure arises from the exclusion principle limiting electron states. The Chandrasekhar limit is about 1.4 solar masses. Above the Chandrasekhar limit, electron degeneracy pressure cannot prevent further collapse. Exam tip: Quote the Chandrasekhar limit as approximately 1.4 solar masses, not an exact value.

    See it

    A top-down flowchart. The top node reads 'White dwarf: small, dense, hot stellar remnant'. From it, three arrows lead to separate nodes: 'Mass comparable to the Sun; radius comparable to a planet', 'No fusion; supported by electron degeneracy pressure', and 'Gradually cools and dims'. From the degeneracy pressure node, one arrow leads to 'Degeneracy pressure arises from exclusion principle limiting electron states' and another leads to 'Chandrasekhar limit: maximum mass about 1.4 solar masses'. From the Chandrasekhar limit node, an arrow leads to 'Above the limit, degeneracy pressure cannot prevent further collapse'.
    It shows the characteristics of a white dwarf, how electron degeneracy pressure supports it, and the significance of the Chandrasekhar limit.

    Key words

    Say what each word means before you turn the card.

    White dwarf

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

    Electron degeneracy pressure

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

    Chandrasekhar limit

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

    See every definition
    White dwarf
    A small, dense, hot stellar remnant left after a low-mass star ejects its outer layers, with a mass comparable to the Sun but a radius comparable to a planet.
    Electron degeneracy pressure
    Pressure arising because electrons cannot occupy the same quantum state, which supports a white dwarf against gravitational collapse instead of fusion.
    Chandrasekhar limit
    The maximum mass a white dwarf can have, approximately 1.4 solar masses, above which degeneracy pressure cannot support the star.

    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 top-down flowchart. The top node reads 'White dwarf: small, dense, hot stellar remnant'. From it, three arrows lead to separate nodes: 'Mass comparable to the Sun; radius comparable to a planet', 'No fusion; supported by electron degeneracy pressure', and 'Gradually cools and dims'. From the degeneracy pressure node, one arrow leads to 'Degeneracy pressure arises from exclusion principle limiting electron states' and another leads to 'Chandrasekhar limit: maximum mass about 1.4 solar masses'. From the Chandrasekhar limit node, an arrow leads to 'Above the limit, degeneracy pressure cannot prevent further collapse'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

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