Physics20795 marksNumerical: Alpha particle wavelengthde Broglie's hypothesis and its experimental verification
An α particle is emitted from a radioactive nuclei with an energy of 6.8 MeV. Calculate its wavelength and compare it with the size of the emitting nucleus that has a radius of 8 times 10-15 m.
An α particle is emitted from a radioactive nuclei with an energy of 6.8 MeV. Calculate its wavelength and compare it with the size of the emitting nucleus that has a radius of $8 \times 10^{-15}$ m. [5]
- Kinetic energy of α particle: $E = 6.8$ MeV - Radius of emitting nucleus: $r = 8 \times 10^{-15}$ m Constants used: - Mass of α particle: $m = 4u = 4 \times 1.66 \times 10^{-27} = 6.64 \times 10^{-27}$ kg - Planck's constant: $h = 6.626 \times 10^{-34}$ J·s -