Double-slit Experiment in Modern Physics

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Questions and Answers

According to the text, what did Christian Huygens propose in 1678?

Light was a form of energy

Light was a wave (correct)

Light was a particle

Light was a form of matter

What is the result of constructive interference?

Greater amplitude (correct)

Reduced amplitude

No change in amplitude

Formation of a new wave

In the double-slit experiment, what is the condition for destructive interference?

$ΔL = (m + 1/2) \lambda$ (correct)

$ΔL = d \sin θ = m\lambda$, where $m = 0, ±1, ±2$

$ΔL = d \sin θ$

$ΔL = (m + 1/2) \lambda$, where $m = 0, ±1, ±2$

What is the basic idea of quantum theory?

The impossibility of imagining an isolated quantity of energy without associating with it a certain frequency. Signup and view all the answers

What does the Heisenberg’s Uncertainty Principle examine?

The certainty of a particle's position and momentum. Signup and view all the answers

What happens when one of the slits in the double-slit experiment is closed?

No interference pattern is observed. Signup and view all the answers

How do Alice and Bob ensure private communication in quantum communications?

By using quantum keys that can detect perturbations caused by eavesdropping. Signup and view all the answers

What did Newton assume about light in the late 1600s?

Light is made of particles Signup and view all the answers

Which theory dissolved the classical distinction between point particles and non-local fields/waves?

Quantum theory Signup and view all the answers

What is a characteristic of all waves?

Superposition Signup and view all the answers

What phenomenon is a characteristic of all waves?

Uniform propagation speed Signup and view all the answers

What did Einstein's Quantum theory do?

Dissolved the classical distinction between point particles and non-local fields/waves Signup and view all the answers

In the double-slit experiment, what is the result of constructive interference?

Bright fringes on the screen Signup and view all the answers

In the context of wave theory of light, what determines the wave velocity and interference?

Phase (θ) Signup and view all the answers

What condition must sources satisfy in the double-slit experiment to produce interference patterns?

Coherence Signup and view all the answers

If the second-order bright fringe in a double-slit experiment is 4.5 cm from the center line, what is the distance between adjacent bright fringes if the wavelength is 560 nm?

2.8 cm Signup and view all the answers

In the double-slit experiment with different conditions, which of the following scenarios would destroy the interference pattern?

All of the above Signup and view all the answers

What is the formula for calculating the bright fringe width in the double-slit experiment?

y = m d L1 / (m + 1) - m = d Signup and view all the answers

According to Heisenberg’s Uncertainty Principle, what happens to a particle's position and momentum?

They are both uncertain, and the more precisely one of them is known, the more precisely the other can be known Signup and view all the answers

What did G.I. Taylor observe in his 1909 experiment with a very dim light source in the double-slit experiment?

The production of an interference pattern even with only one photon passing through the double slit at a time Signup and view all the answers

Study Notes

Double-slit experiment: A viewing screen is separated from the double-slit source by a certain distance. The distance between the two slits is another distance. The second-order bright fringe (m = 2) is a certain distance from the center line.
Bright fringe width: The bright fringe width is defined as the distance between two adjacent destructive minima. The formula for calculating the bright fringe width is y = m d L1 / (m + 1) - m = d.
Taylor experiment: In 1909, G.I. Taylor performed an experiment with a very dim light source and observed the production of an interference pattern even with only one photon passing through the double slit at a time.
Quantum theory: The basic idea of quantum theory is the impossibility of imagining an isolated quantity of energy without associating with it a certain frequency.
Heisenberg’s Uncertainty Principle: It helps examine the dual nature of light, electrons, and other particles. A particle’s position and momentum are uncertain, and the more precisely one of them is known, the less precisely the other can be known.
Quantum communications: Alice and Bob can use quantum keys to ensure their communication remains private. However, Eve's measurements of a quantum signal can cause perturbations that can be detected.
Double-slit experiment with different conditions: Closing one of the slits results in no interference pattern. Monitoring which slit a single photon entered also eliminates the interference pattern. Using electrons instead of photons also destroys the interference pattern due to the larger photon momentum.
Double-slit experiment problem set: Q1 asks for the angle of the first-order maximum for 450-nm wavelength blue light, Q2 asks for the angle of the third-order maximum for 580-nm wavelength yellow light, Q3 asks for the separation between two slits for the first maximum of 610-nm orange light at an angle of 30.0°, Q4 asks for the distance between two slits for the first minimum of 410-nm violet light at an angle of 45.0°, Q5 asks for the wavelength of light that has its third minimum at an angle of 30.0° when falling on double slits separated by 3.00 μm, and Q6 asks for the wavelength of light falling on double slits separated by 2.00 μm if the third-order maximum is at an angle of 60.0°, Q7 asks for the angle of the fourth-order maximum in the given situation.
Double-slit experiment: A viewing screen is separated from the double-slit source by a certain distance. The distance between the two slits is another distance. The second-order bright fringe (m = 2) is a certain distance from the center line.
Bright fringe width: The bright fringe width is defined as the distance between two adjacent destructive minima. The formula for calculating the bright fringe width is y = m d L1 / (m + 1) - m = d.
Taylor experiment: In 1909, G.I. Taylor performed an experiment with a very dim light source and observed the production of an interference pattern even with only one photon passing through the double slit at a time.
Quantum theory: The basic idea of quantum theory is the impossibility of imagining an isolated quantity of energy without associating with it a certain frequency.
Heisenberg’s Uncertainty Principle: It helps examine the dual nature of light, electrons, and other particles. A particle’s position and momentum are uncertain, and the more precisely one of them is known, the less precisely the other can be known.
Quantum communications: Alice and Bob can use quantum keys to ensure their communication remains private. However, Eve's measurements of a quantum signal can cause perturbations that can be detected.
Double-slit experiment with different conditions: Closing one of the slits results in no interference pattern. Monitoring which slit a single photon entered also eliminates the interference pattern. Using electrons instead of photons also destroys the interference pattern due to the larger photon momentum.
Double-slit experiment problem set: Q1 asks for the angle of the first-order maximum for 450-nm wavelength blue light, Q2 asks for the angle of the third-order maximum for 580-nm wavelength yellow light, Q3 asks for the separation between two slits for the first maximum of 610-nm orange light at an angle of 30.0°, Q4 asks for the distance between two slits for the first minimum of 410-nm violet light at an angle of 45.0°, Q5 asks for the wavelength of light that has its third minimum at an angle of 30.0° when falling on double slits separated by 3.00 μm, and Q6 asks for the wavelength of light falling on double slits separated by 2.00 μm if the third-order maximum is at an angle of 60.0°, Q7 asks for the angle of the fourth-order maximum in the given situation.

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Description

Test your knowledge on the double-slit experiment and other related concepts in modern physics with this quiz. Topics include unifications in physics, characteristics of light waves, superposition, interference, and Young's double-slit experiment.