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Question 18M.3.HL.TZ1.18b.i

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Date May 2018 Marks available [Maximum mark: 2] Reference code 18M.3.HL.TZ1.18b.i
Level HL Paper 3 Time zone TZ1
Command term Show that Question number b.i Adapted from N/A
b.i.
[Maximum mark: 2]
18M.3.HL.TZ1.18b.i

Type Ia supernovae typically have a peak luminosity of around 5 × 105 Ls, where Ls is the luminosity of the Sun (3.8 × 1026 W). A type Ia supernova is observed with an apparent peak brightness of 1.6 × 10–6 W m–2.

(b.i)

Show that the distance to the supernova is approximately 3.1 × 1018 m.

[2]

Markscheme

d =  L 4 π b = 5 × 10 5 × 3.8 × 10 26 4 π × 1.6 × 10 − 6

d = 3.07 × 1018 «m»

 

At least 3 sig fig required for MP2.

[2 marks]

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