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Date May 2011 Marks available 3 Reference code 11M.3.HL.TZ1.4
Level Higher level Paper Paper 3 Time zone Time zone 1
Command term Outline Question number 4 Adapted from N/A

Question

This question is about the main sequence star Khad (Phi Orionis).

The luminosity of Khad is 2.0×104 LS, where LS is the luminosity of the Sun.

Assuming that the exponent n in the mass–luminosity relation is 3.5, show that the mass of Khad is about 17 solar masses.

[2]
a.

Outline the likely evolution of the star Khad after it leaves the main sequence.

[3]
b.

Markscheme

LKLS=[mKmS]3.5;
m=[LKLS×mS3.5]13.5=[2.0×104]13.5mS=16.9mS;
hence mK≈17mS

a.

Khad will become a red supergiant/superred/superred giant;
a supernova will take place;
the core/remnant will form a neutron star or black hole;

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Option D: Astrophysics » Option D: Astrophysics (Core topics) » D.2 – Stellar characteristics and stellar evolution
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