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$Physics: Single & Double-Slit Diffraction$

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Physics: Single & Double-Slit Diffraction

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Questions and Answers

What is a characteristic feature of single-slit diffraction compared to double-slit diffraction?

Fringes are narrow and sharp

All bright fringes are visible (correct)

Each slit acts as a single light source

Fringes are broad and not as sharp (correct)

Which statement accurately describes the interference pattern of double slits?

Waves originating from a single slit interfere maximally

Fringes are wider than those of single-slit diffraction

Some bright fringes are missing due to minima (correct)

The intensity pattern is expressed as $I = I_0 [sin (π a sin(\frac{\theta}{\lambda}))]^2$

How does the intensity of light differ between single-slit and double-slit diffraction?

Intensity for single-slit is calculated using $I = I_0 cos^2[π d sin(\frac{\theta}{\lambda})]$

Single-slit intensity pattern has sharper peaks than double-slit

Single-slit intensity is represented as $I = I_0 [sin (π a sin(\frac{\theta}{\lambda}))]^2$ (correct)

Double-slit intensity includes a sine squared function

What role do small slits play in double-slit diffraction?

<p>They are treated as individual light sources</p> Signup and view all the answers

What is true about the combined fringe pattern of single and double-slit interference?

<p>It shows peaks wider than the single-slit but narrower than the double-slit</p> Signup and view all the answers

Study Notes

Single-Slit Diffraction

Single-slit diffraction involves waves originating from the same slit interfering.
The resulting fringes are broad and not sharp.
All bright fringes are visible.

Double-Slit Diffraction

Double-slit diffraction involves waves originating from two separate slits interfering.
Slits are considered individual light sources.
The resulting fringes are narrow and sharp.
Some bright fringes are missing due to the minima of a single-slit interference pattern.

Intensity Equations

Single-slit intensity: I₁ = I₀ [sin(πa sin θ/λ)]² / (πa sin θ/λ)²
Double-slit intensity: I₂ = I₀ cos² [πd sin θ/λ] Where:
- I₀ is the maximum intensity
- a is the slit width
- d is the distance between slits
- θ is the angle of diffraction
- λ is the wavelength of light

Pattern Diagrams

Diagrams show the intensity patterns for both single-slit and double-slit diffraction.
The single-slit pattern shows a central maximum with alternating minima and maxima.
The double-slit pattern shows a series of bright and dark fringes. The combined pattern from both diffractions shows the characteristic double-slit interference pattern modulated by the single-slit diffraction envelope.

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Description

This quiz explores the concepts of single and double-slit diffraction, highlighting the differences in fringe patterns and intensity equations. Understand the origins of the waves, their interference, and how the patterns relate to their respective equations. Test your knowledge of light behavior through this engaging quiz!