Wave-Particle Duality: Uncover the Dual Nature of Light and Matter

Question 1

The uncertainty principle states that:

Accepted Answer

The product of the uncertainties in position and momentum is always greater than a certain minimum value.

Answer

The position and momentum of a particle can be measured simultaneously with perfect accuracy.

Answer

The energy and time of a particle can be measured simultaneously with perfect accuracy.

Answer

The spin and polarization of a particle can be measured simultaneously with perfect accuracy.

Question 2

What is the fundamental difference between a classical wave and a matter wave?

Accepted Answer

Matter waves have a particle-like nature, while classical waves do not.

Answer

Classical waves have a definite wavelength, while matter waves do not.

Answer

Classical waves can be polarized, while matter waves cannot.

Answer

Matter waves have a finite velocity, while classical waves do not.

Question 3

Wave-particle duality refers to the fundamental concept that:

Accepted Answer

Light exhibits properties of both waves and particles.

Answer

Light is solely a wave phenomenon.

Answer

Light is solely a particle phenomenon.

Answer

Light's behavior as a wave or a particle depends on its interaction with matter.

Question 4

Which characteristic is associated with wave-like behavior?

Accepted Answer

Interference

Answer

Momentum

Answer

Energy

Answer

Quantization

Question 5

The energy-momentum relationship for photons is given by:

Accepted Answer

E = hf

Answer

E = pc

Answer

E = p^2/2m

Answer

E = mc^2

Question 6

Define the Compton effect.

Accepted Answer

The scattering of X-rays by electrons, resulting in a change in wavelength

Answer

The emission of electrons from a metal surface when light strikes it

Answer

The absorption of a photon by an atom, causing electron excitation

Answer

The deflection of a charged particle in a magnetic field

Question 7

Which experiment provided crucial evidence for the wave-like behavior of light?

Accepted Answer

Double-Slit Experiment

Answer

Photoelectric Effect

Answer

Compton Scattering

Answer

Stern-Gerlach Experiment

Question 8

In the photoelectric effect, which factor primarily determines the kinetic energy of emitted electrons?

Accepted Answer

The frequency of the incident light

Answer

The intensity of the incident light

Answer

The wavelength of the incident light

Answer

The polarization of the incident light

Question 9

The double-slit experiment demonstrated that electrons can exhibit:

Accepted Answer

Both particle-like and wave-like behavior

Answer

Purely particle-like behavior

Answer

Purely wave-like behavior

Answer

Neither particle-like nor wave-like behavior

Question 10

Who proposed the concept of the de Broglie wavelength?

Accepted Answer

Louis de Broglie

Answer

Albert Einstein

Answer

Erwin Schrödinger

Answer

Max Planck

Question 11

Which equation represents the energy of a photon?

Accepted Answer

E = hf

Answer

E = mc^2

Answer

E = hc/λ

Answer

E = kT

Question 12

According to the Copenhagen interpretation of quantum mechanics, before measurement, an electron:

Accepted Answer

Has a definite wave function

Answer

Has a definite position and momentum

Answer

Behaves entirely randomly

Answer

Has a definite energy and spin

Question 13

Which statement about the wave-particle duality model is true?

Accepted Answer

It does not account for the quantization of energy levels in atoms.

Answer

It completely explains the behavior of particles at all speeds.

Answer

It accurately predicts the results of all experiments.

Answer

It is inconsistent with the theory of special relativity.

Question 14

In the double-slit experiment, what observation demonstrates the wave-like nature of light?

Accepted Answer

Interference pattern on the screen

Answer

Light passing through both slits at once

Answer

Highest light intensity at the screen's center

Answer

Light traveling directly from source to screen

Question 15

In the double-slit experiment, how does the concept of wave-particle duality affect our understanding of the results?

Accepted Answer

Particles like electrons can act like waves, challenging the traditional view of particles.

Answer

Light behaves solely as a wave, as seen in the interference pattern.

Answer

Light only travels in straight lines, explaining the experiment.

Answer

Wave-particle duality has no impact on interpreting the double-slit experiment.

Question 16

Which of the following equations represents the de Broglie wavelength of a particle with momentum p?

Accepted Answer

λ = h/p

Answer

λ = h/m

Answer

λ = p/h

Answer

λ = m/h

Question 17

What is the significance of the uncertainty principle in relation to wave-particle duality?

Accepted Answer

It limits the precision with which both the momentum and position of a particle can be known simultaneously.

Answer

It predicts that the wave function of a particle can never be fully determined.

Question 18

In the context of wave-particle duality, what does the term 'wave function' refer to?

Accepted Answer

A mathematical description of the state of a quantum system.

Answer

The amplitude of a wave.

Answer

The physical path taken by a particle.

Question 19

Which of the following is NOT a way to demonstrate wave-particle duality?

Accepted Answer

Observing the behavior of a baseball.

Answer

Electron diffraction

Answer

Double-slit experiment

Answer

Photoelectric effect