IB Physics HL Theme E: Nuclear and quantum physics questions

Exam-style multiple choice and written questions with full markschemes. Check multiple choice answers straight away, or type, photograph or draw a written answer and get it marked.

Question 1

Paper 2Easy7 marks

A sealed radioactive sample contains NN undecayed nuclei at time tt Figure 1 shows how NN changes with time.

024681012024681012Time, t / hNumber of undecayed nuclei / 105
(a)

Use Figure 1 to state the number of undecayed nuclei at t=0t=0 and at t=4.0 ht=4.0\ \text{h}

[2]
(b)

Using your values from (a) and the radioactive decay law N=N0e−λtN=N_0e^{-\lambda t} determine the decay constant λ\lambda Give its unit.

[2]
(c)

Determine the number of undecayed nuclei in the sample at t=10.0 ht=10.0\ \text{h} Use the decay law and your value of λ\lambda from (b).

[3]

Question 2

Paper 2Easy9 marks

Figure 1 is a schematic Hertzsprung–Russell (HR) diagram. The regions are labelled A–D, and the positions of the Sun and star X are shown.

Luminosity, L/L☉30 00010 0005000300010−410−21102104106Surface temperature, T / KDBCASunX
(a)

Identify the stellar type represented by each of the regions A, B, C and D in Figure 1.

[4]
(b)

Using Figure 1, compare the surface temperature and luminosity of star X with those of the Sun.

[2]
(c)

Stars P and Q are both on the main sequence. P has a greater mass than Q. State which star has the shorter main-sequence lifetime.

[1]
(d)

State the likely final remnant of a low-mass star and of a high-mass star.

[2]

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