Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

12 questions

SA-9702-AS2-0011 markL1 FoundationCalculatorWien's law

A star's spectrum peaks at

420

nm. Using

\lambda_{\max}T=2.9\times10^{-3}

m K, estimate its surface temperature.

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0031 markL1 FoundationCalculatorWien's law

Wien's displacement law states that the peak wavelength of a black body is

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0041 markL1 FoundationCalculatorStefan–Boltzmann

Two stars have the same radius. One has twice the surface temperature. State the ratio of their luminosities (hotter : cooler).

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0051 markL1 FoundationCalculatorStefan–Boltzmann

Two stars have the same surface temperature. One has three times the radius. State the ratio of their luminosities (larger : smaller).

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0061 markL1 FoundationCalculatorWien's law

A blue-white star compared with a red star has

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0091 markL1 FoundationCalculatorStefan–Boltzmann

The Stefan–Boltzmann law relates a star's luminosity to its

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0121 markL1 FoundationCalculatorWien's law

Stars emit radiation that is approximately

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0022 marksL2 StandardCalculatorStefan–Boltzmann

A star has luminosity

3.8\times10^{28}

W and surface temperature

4000

K. Calculate its radius, in units of

10^{10}

m. (

\sigma=5.67\times10^{-8}

W m⁻² K⁻⁴)

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0072 marksL2 StandardCalculatorStefan–Boltzmann

The Sun has radius

6.96\times10^8

m and surface temperature

5800

K. Calculate its luminosity, in units of

10^{26}

W. (

\sigma=5.67\times10^{-8}

W m⁻² K⁻⁴)

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0081 markL2 StandardCalculatorWien's law

Calculate the peak wavelength of radiation from a star with surface temperature

10\,000

K, in nm.

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0101 markL2 StandardCalculatorStefan–Boltzmann

A red giant is cooler than the Sun but much more luminous. This means it must

Salam Academy Original Practice · Proposed mark scheme

SA-9702-AS2-0113 marksL3 ExamCalculatorStefan–Boltzmann

A star is

10\,000

times as luminous as the Sun, and its peak wavelength is twice the Sun's. Calculate its radius as a multiple of the Sun's radius.

Salam Academy Original Practice · Proposed mark scheme