IB Physics HL E.3.22 Half-life and decay constant Question Bank

Practise IB Physics HL E.3.22 by applying half-life and decay constant concepts to exam-style physics questions.

Exam points

identify the relevant physical quantity, model or diagram
apply the correct equation and units to the evidence
justify the result using conservation laws, fields or energy relationships

[Maximum number: 1]

A ball is released near the surface of the Moon at time t=0. The point of release is on a straight line between the centre of Earth and the centre of the Moon. The graph below shows the variation with time t of the displacement s of the ball from the point of release.

Figure for Question E.3.22 (HL)—Half-life and decay constant question 1 — IB Physics HL

Calculate, in hour ${ }^{-1}$ , the decay constant of lead-212.

$\left.\quad \lambda=\frac{\ln 2}{\mathrm{~T}_{\frac{1}{2}}}=\frac{0.693}{10.6}=\right) 6.5 \times 10^{-2}$ hour $^{-1}$

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E.3.22 (HL)—Half-life and decay constant question 1