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Question SPM.2.SL.TZ0.5

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Date May Specimen-2023 Marks available [Maximum mark: 6] Reference code SPM.2.SL.TZ0.5
Level SL Paper 2 Time zone TZ0
Command term Estimate, Show that, Sketch Question number 5 Adapted from N/A
5.
[Maximum mark: 6]
SPM.2.SL.TZ0.5

The star δ Vel A is a main sequence star that has a black-body spectrum as shown.

(a)

Show that the surface temperature of δ Vel A is about 9000 K.

[1]

Markscheme

correct substitution into λmax=2.9×10-3T OR 9350 K ✓

(b)

The apparent brightness of δ Vel A is 2.2 × 10−9 W m−2 and it is 6.2 × 1014 km from Earth.

Estimate the radius of δ Vel A.

[3]

Markscheme

Attempted use of L=4πbd2 ✓

use of rL4πσT4 ✓

r=1.4 Gm ✓

Accept a range of values between 1.3 to 1.5 Gm

(c)

The radius of the Sun, R, is 7.0 × 105 km.

Sketch, on the Hertzsprung-Russell diagram, the position of δ Vel A.

[2]

Markscheme

Shows r2R ✓

Correct position on diagram ✓

 [use of 9000 K gives 2.2R]