DP Physics (last assessment 2024)

Question 18N.2.HL.TZ0.d.ii

Date	November 2018	Marks available	[Maximum mark: 3]	Reference code	18N.2.HL.TZ0.d.ii
Level	HL	Paper	2	Time zone	TZ0
Command term	Calculate	Question number	d.ii	Adapted from	N/A

d.ii.

[Maximum mark: 3]

18N.2.HL.TZ0.d.ii

${}_{15}^{32}{\text{P}}$ is formed when a nucleus of deuterium ( ${}_{1}^{2}{\text{H}}$ ) collides with a nucleus of ${}_{15}^{31}{\text{P}}$ . The radius of a deuterium nucleus is 1.5 fm.

In a fresh pure sample of ${}_{15}^{32}{\text{P}}$ the activity of the sample is 24 Bq. After one week the activity has become 17 Bq. Calculate, in s^–1, the decay constant of ${}_{15}^{32}{\text{P}}$ .

[3]

Markscheme

1 week = 6.05 × 10⁵ «s»

17 = $24{{\text{e}}^{ - \lambda \times 6.1 \times {{10}^5}}}$ ✔

5.7 × 10⁻⁷«s^–1» ✔

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If answer not in seconds and no unit quoted award [1 max] for correct substitution into equation (MP2)

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Additional higher level (AHL)

Additional higher level (AHL) » Topic 12: Quantum and nuclear physics » 12.2 – Nuclear physics

Additional higher level (AHL) » Topic 12: Quantum and nuclear physics

Question 18N.2.HL.TZ0.d.ii

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