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Question 18M.3.HL.TZ2.a.ii

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Date May 2018 Marks available [Maximum mark: 2] Reference code 18M.3.HL.TZ2.a.ii
Level HL Paper 3 Time zone TZ2
Command term Calculate Question number a.ii Adapted from N/A
a.ii.
[Maximum mark: 2]
18M.3.HL.TZ2.a.ii

It is believed that a non-rotating supermassive black hole is likely to exist near the centre of our galaxy. This black hole has a mass equivalent to 3.6 million times that of the Sun.

Calculate the distance of the event horizon of the black hole from its centre.

                                                                   Mass of Sun = 2 × 1030 kg

[2]

Markscheme

mass of black hole = 7.2 × 1036 «kg»

« 2 G M c 2 =» 1 × 1010 «m»

 

[2 marks]