Classification of Stars (AQA A Level Physics)

Exam Questions

46 mins6 questions
1a
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1 mark

Draw a labelled diagram to define the parsec (pc).

1b
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1 mark

Table 1 shows data for two stars: Rigel and the Sun.

Table 1

Star

Surface temperature / K

Absolute magnitude

Mass / kg

Rigel

12 000

−7.84

3.6 × 1031

Sun

5700

4.83

2.0 × 1030

State the spectral class of Rigel.

1c
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2 marks

The apparent magnitude of Rigel is 0.11.

Calculate, in pc, the distance from Rigel to the Earth.

1d
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1 mark

Figure 1 shows a Hertzsprung–Russell (HR) diagram.

Figure 1

Hertzsprung-Russell diagram showing absolute magnitude vs spectral class. Regions indicated as supergiants, giants, main sequence, and white dwarfs.

Draw a line on Figure 1 to show the evolution of the Sun from formation to white dwarf.

1e
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2 marks

One stage in the evolution of Rigel includes the emission of a gamma ray burst.

Outline the circumstances during which a gamma ray burst will be emitted by Rigel.

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2a
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2 marks

Table 2 gives data about the supergiant star Melnick 34 and the Sun.

Table 2

Name

Radius / m

Surface temperature / K

Melnick 34

1.4 × 1010

53 000

Sun

7.0 × 108

5700

Calculate fraction numerator power space output space of space Melnick space 34 over denominator power space output space of space the space Sun end fraction.

2b
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2 marks

Discuss why the evolution of a supergiant star in the local part of our galaxy could be dangerous for life on Earth.

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3a
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1 mark

Which graph shows the light curve for a typical type 1a supernova?

Four graphs A, B, C, D showing absolute magnitude vs time. A and B use hours, C and D use days. Each plot has a peak followed by a decline.
    3b
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    3 marks

    The Andromeda galaxy is approximately 7.7 × 105 pc from Earth.

    Deduce whether a type 1a supernova which occurred in Andromeda can be observed from Earth with the naked eye.

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    4a
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    1 mark

    Table 1 summarises some information about four stars in the constellation Cassiopeia.

    Table 1

    Name

    Colour

    Apparent magnitude

    Distance / ly

    Caph

    white

    2.3

    55

    Ruchbah

    blue/white

    2.7

    99

    Schedar

    orange

    2.2

    228

    Tsih

    blue

    2.2

    610

    Which star has the highest surface temperature?

    • Caph

    • Ruchbah

    • Schedar

    • Tsih

    4b
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    4 marks

    Figure 1 shows the intensity received at Earth from two of the stars, plotted against wavelength.

    The effect of absorption by the Earth’s atmosphere is not shown.

    Figure 1

    Graph comparing the intensity of light received at Earth versus wavelength for stars Caph and Schedar, showing peaks at different wavelengths.

    Discuss what information can be found from Figure 1 about the temperature and colour of these stars.

    Support your answer with suitable calculations.

    4c
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    1 mark

    State which star in Table 1 is dimmest on the absolute magnitude scale.

    4d
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    3 marks

    Calculate the absolute magnitude of Schedar.

    4e
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    2 marks

    Tsih has a mass over 15 times the mass of the Sun.

    Tsih may eventually collapse to form a black hole.

    Calculate the radius of the event horizon for a black hole with a mass 15 times that of the Sun.

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    5a
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    1 mark

    3C 273 was the first quasar to be discovered. IC 1101 is one of the largest galaxies known.

    Table 2 shows some information about these objects.

    Table 2

    Absolute magnitude

    Apparent magnitude

    Distance / Mpc

    quasar 3C 273

    X

    12.8

    760

    galaxy IC 1101

    −22.8

    14.7

    320

    State the property of the quasar that led to its discovery.

    5b
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    2 marks

    Show that the absolute magnitude X of quasar 3C 273 is about −27

    5c
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    3 marks

    Assume that the quasar and the galaxy are both viewed from the same distance.

    Explain which would be the brighter object.

    Go on to calculate the ratio fraction numerator brightness space of space brighter space object over denominator brightness space of space dimmer space object end fraction.

    5d
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    3 marks

    The black hole at the centre of IC 1101 has a mass of 7.1 × 1011 M subscript S where M subscript S is the mass of the Sun.

    Calculate the average density within the event horizon of the black hole.

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    6a
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    3 marks

    Figure 1 shows the evolution of a star similar to the Sun on a Hertzsprung-Russell (HR) diagram.

    Figure 1

    Hertzsprung-Russell diagram plotting stars with spectral classes O to M and absolute magnitudes from -10 to 15, marked at points W, X, Y, and Z.

    State the evolutionary stage of the star at each of the points W, X, Y and Z.

    6b
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    1 mark

    Theta Carinae is a star with a radius five times that of the Sun. It has a surface temperature of 31 000 K.

    Annotate Figure 1 with a T to show the position of Theta Carinae.

    6c
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    2 marks

    An astronomer suggests that an Earth-sized planet orbits Theta Carinae.

    Explain one difficulty with using the transit method to detect this planet.

    6d
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    5 marks

    The astronomer suggests that the Earth-sized planet receives a similar amount of power from Theta Carinae as the Earth does from the Sun.

    The average power output of the Sun is 3.8 × 1026 W.

    Determine the orbital radius of the Earth-sized planet orbiting Theta Carinae.

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