Double-slit Experiment in Modern Physics

Dylario avatar
Dylario
·
·
Download

Start Quiz

Study Flashcards

Questions and Answers

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

Light was a wave

What is the result of constructive interference?

Greater amplitude

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

$ΔL = (m + 1/2) \lambda$

What is the basic idea of quantum theory?

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

What does the Heisenberg’s Uncertainty Principle examine?

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

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

<p>No interference pattern is observed.</p> Signup and view all the answers

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

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

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

<p>Light is made of particles</p> Signup and view all the answers

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

<p>Quantum theory</p> Signup and view all the answers

What is a characteristic of all waves?

<p>Superposition</p> Signup and view all the answers

What phenomenon is a characteristic of all waves?

<p>Uniform propagation speed</p> Signup and view all the answers

What did Einstein's Quantum theory do?

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

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

<p>Bright fringes on the screen</p> Signup and view all the answers

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

<p>Phase (θ)</p> Signup and view all the answers

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

<p>Coherence</p> 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?

<p>2.8 cm</p> Signup and view all the answers

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

<p>All of the above</p> Signup and view all the answers

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

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

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

<p>They are both uncertain, and the more precisely one of them is known, the more precisely the other can be known</p> 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?

<p>The production of an interference pattern even with only one photon passing through the double slit at a time</p> 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.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team
Use Quizgecko on...
Browser
Browser