9. Quantum Mechanics

What is the velocity (in m/s) of an electron that has a wavelength of 3.13 x 10⁵ pm? (Mass of an electron = 9.11 x 10^-31 kg).

The faster an electron is moving, the _________ its kinetic energy, and the __________ its wavelength.

Consider an atom traveling at 3.00 x 10¹⁵ m/s. The de Broglie wavelength is found to be 7.1316 x 10^-39. Determine the mass (in g) of the atom.

The speed of sound in dry air at 20 °C is 343 m/s and the lowest frequency sound wave that the human ear can detect is approximately 20 Hz. (b) What would be the frequency of electromagnetic radiation with the same wavelength?

Use the de Broglie relationship to determine the wavelengths of the following objects: (a) an 85-kg person skiing at 50 km/hr (b) a 10.0-g bullet fired at 250 m/s

Use the de Broglie relationship to determine the wavelengths of the following objects: (c) a lithium atom moving at 2.5 × 10⁵ m/s (d) an ozone (O₃) molecule in the upper atmosphere moving at 550 m/s.

Among the elementary subatomic particles of physics is the muon, which decays within a few microseconds after formation. The muon has a rest mass 206.8 times that of an electron. Calculate the de Broglie wavelength associated with a muon traveling at 8.85 * 105 cm/s.