A student investigates the relationship between the luminosity of a star and its mass. The student obtains data of relative luminosity $$\(\lambda\)$$ and relative mass $$\(\mu\)$$ for six stars, where $$\[ \lambda=\frac{\text { luminosity of star }}{\text { luminosity of Sun }} \]$$ and $$\[ \mu=\frac{\text { mass of star }}{\text { mass of Sun }} \]$$ It is suggested that $$\(\lambda\)$$ and $$\(\mu\)$$ are related by the equation $$\[ \lambda=k \mu^{n} \]$$ where $$\(k\)$$ and $$\(n\)$$ are constants. (b)Values of $$\(\mu\)$$ and $$\(\lambda\)$$ are given in Table 2.1. Calculate and record values of $$\(\lg \mu\)$$ and $$\(\lg \lambda\)$$ in Table 2.1. Include the absolute uncertainties in $$\(\lg \mu\)$$ . [2]

Physics
IGCSE&ALevel
CAIE
Exam No:9702_s25_qp_54 Year:2025 Question No:2(b)

Answer:



Knowledge points:

1.3.1 understand that the avogadro constant Na is the number of atoms in 0.012kg of carbon-12
1.3.2 use molar quantities where one mole of any substance is the amount containing a number of particles equal to the avogadro constant Na
25.1 Standard candles

Solution:

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