Quantum mechanics

What implication does the equation λ = h/mv have on how we view matter or anything with momentum?

Matter has wave-like behavior; anything with momentum has a wavelength.

What is the de Broglie wavelength of a 12.0 g bullet traveling at 331 m/s?

1.7 × 10^-34 m

What is the wavelength of an electron with velocity 3.5×10^7 m/s

2.1 × 10^-11m

What is the frequency of an electron with velocity 2.12×10^8 m/s

3.1×10^19 Hz

What is the energy of an electron with velocity 5.8×10^7 m/s?

1.5×10^-15 J (9.6 KeV)

Explain how the double slit experiment impacted our understanding of atomic structure.

 It showed electrons act like waves, leading to probability-based orbitals instead of fixed orbits.

What is the Heisenberg Uncertainty Principle?

You cannot know exact position and momentum at the same time.

How does quantum mechanics differ from Newtonian mechanics?

Quantum is probabilistic and wave-based; Newtonian is deterministic and continuous.

Why can’t an electron continue in a set orbit like a planet around the sun?

A charged particle in orbit would lose energy and collapse; electrons behave as standing waves in orbitals.

What is the de Broglie wavelength of a 10.0 g whip traveling at 331 m/s?

2.0×10^34 m

What is the wavelength of an electron with velocity 1.2×10^8 m/s

6.1 × 10^-12 m

What is the frequency of an electron with velocity 9.0×10^7 m/s

5.6×10^18 Hz

What is the energy of an electron with velocity 6.334×10^8 m/s

Impossible physically (speed > speed of light). Non-relativistic math gives 1.8×10^-13 J but this speed cannot occur.

Define wave function.

A mathematical function whose square gives probability of finding a particle.

Why does dual nature of matter make small particles hard to observe?

Observing them disturbs them; wave behavior + uncertainty makes exact paths impossible to see.