Particle in a Finite Potential Well: Quantum Tunneling

The video explains quantum tunneling, using a classical analogy of a ball over a hill. It introduces the particle in a box model, highlighting the conditions for tunneling, such as finite potential energy and wave-like properties. The wave function's behavior during tunneling is discussed, along with the role of the Heisenberg uncertainty principle in determining tunneling probability. The video concludes with a formula for calculating tunneling probability.

What classical analogy is used to explain quantum tunneling?

• A plane flying over a mountain

• A ball rolling down a hill

• A ball being pushed over a hill

• A car driving through a tunnel

Which of the following is NOT a condition for quantum tunneling?

• The particle's kinetic energy must be less than the barrier's potential energy

• The barrier must be thin

• The barrier must have infinite potential energy

• The particle must have wave-like properties

During tunneling, the wave function of a particle changes to what form?

• Quadratic increase

• Linear growth

• Exponential decay

• Constant amplitude

What happens to the amplitude of the wave function after tunneling?

• It decreases

• It increases

• It becomes zero

• It remains the same

According to the Heisenberg uncertainty principle, why can't we precisely know an electron's position?

• Because electrons are always in motion

• Because electrons are too small

• Because electrons move too fast

• Because there are no exact solutions in quantum mechanics

What is the role of the Heisenberg uncertainty principle in quantum tunneling?

• It makes particles move faster

• It prevents particles from tunneling

• It allows particles to have a definite position

• It ensures there is some probability of a particle being on the other side of a barrier

Which formula component is NOT part of calculating tunneling probability?

• Width of the barrier

• Planck's constant

• Speed of light

• Mass of the particle