Final answer:
The maximum kinetic energy of the spectrum can be calculated using the equation Emax = hfmax.
Step-by-step explanation:
The maximum kinetic energy of the spectrum can be calculated using the equation Emax = hfmax, where h is the Planck's constant (6.63 × 10^-34 J·s) and fmax is the frequency corresponding to the maximum energy.
Since the decay of 191Os leads only to an excited state of 191Ir at 191 keV, we can calculate the frequency using the equation E = hf, where E is the energy in electron volts (eV). Converting 191 keV to joules, we get 191 × 1.6 × 10^-19 J. Dividing this energy by the Planck's constant, we can determine the frequency, f. Finally, we can calculate the maximum kinetic energy using the equation E = hfmax.
Note that the conversion factor of 1 eV = 1.6 × 10^-19 J is used to convert between electron volts and joules.