By I. E Irodov

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**Additional resources for A collection of problems in atomic and nuclear physics**

**Example text**

C. magnetic field v o . 40 MHz. Deterr~llr:e the gyromagnetic ratio and nuclear magnetic moment. 29. The magnetic resonance method was used to study the magnetic properties of 7Li 19 F molecules whose el~ctron shells possess the zero angular momentum. c. magnetic field. The c~)lltro) expenmen~s showed that the peaks belong to lithium and fluo~me atom~ respectIvely. Find the magnetic moments of these nucleI. The spms of the nuclei are supposed to be known. 30. 'On the basis of that assumptiOn, evaluate the lughest kinetic energy of nucleons inside a nucleus.

10 22 cm-s. 25. 0 ~ 1. 7 /lm at very low temperatures. Calculate the temperature coefficient of resistance of this semiconductor at T = 300 K. 26. 2 ~ times, when the temperature is -2 \ raised from T 1 = 300 K to T 2 = \ = 400 K. 27. Figure 28 illustrates the ~ f-logarithmic electric conductance as -6 a function of reciprocal tempera[} 1 2 0 ture (T in Kelvins) for boron-doped Fig. 28 silicon (n-type semiconductor). Explain the shape of the graph. By means of the graph find the width of the forbidden band in silicon and activation energy of boron atoms.

25 Find the half-lives of both components and the ratio of radioactive nuclei of these components at the moment t = O. 13. A radionuclide A 1 with decay constant A1 transforms into a radionuclide A 2 with decay constant A2. Assuming that at the initial moment the preparation consisted of only N 10 nuclei of radionuclide A 1 , find: (a) the number of nuclei of radionuclide A 2 after a time interval t; (b) the time interval after which the number of nuclei of radionuclide A 2 reaches the maximum value; (c) under what condition the transitional equilibrium state can evolve, so that the ratio of the amounts of the radionuclides remains constant.