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Question 18M.3.SL.TZ2.11c.i

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Date May 2018 Marks available [Maximum mark: 3] Reference code 18M.3.SL.TZ2.11c.i
Level SL Paper 3 Time zone TZ2
Command term Determine Question number c.i Adapted from N/A
c.i.
[Maximum mark: 3]
18M.3.SL.TZ2.11c.i

The following data apply to the star Gacrux.

Radius = 58.5 × 10 9  m Temperature = 3600  K Distance = 88  ly

(c.i)

The luminosity of the Sun L ⊙  is 3.85 × 1026 W. Determine the luminosity of Gacrux relative to the Sun.

[3]

Markscheme

LGacrux = 5.67 × 10–8 × 4π × (58.5 × 109)2 × 36004

LGacrux = 4.1 × 10–29 «W»

L G a c r u x L ⊙  «= 4.1 × 10 29 3.85 × 10 26 » = 1.1 × 103

[3 marks]

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