The figure shows the interference pattern that appears on a distant screen when coherent light is incident on a mask with two identical, very narrow slits. Points P and Q are maxima; Point R is a minimum. The wavelength of the light that created the interference pattern is λ = 577nm, the two slites are separated by rm d = 6 µm, and the distance from the slits to the center of the screen is L = 80cm. The difference in path length at a point on the screen is As = |s₁ - $₂], where s₁ and s₂ are the distances from each to the point. 1. What is As (in nm) at Point P? 2. What is As (in nm) at Point Q? 3. What is As (in nm) at Point R?

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The figure shows the interference pattern that appears on a distant screen when coherent light is incident on a mask with two identical, very narrow slits. Points P and Q are maxima; Point R is a minimum. The wavelength of the light that created the interference pattern is \( \lambda = 577 \, \text{nm} \), the two slits are separated by \( d = 6 \, \mu \text{m} \), and the distance from the slits to the center of the screen is \( L = 80 \, \text{cm} \). The difference in path length at a point on the screen is \( \Delta s = |s_1 - s_2| \), where \( s_1 \) and \( s_2 \) are the distances from each slit to the point.

1. What is \( \Delta s \) (in nm) at Point P?
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2. What is \( \Delta s \) (in nm) at Point Q?
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3. What is \( \Delta s \) (in nm) at Point R?
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Transcribed Image Text:The figure shows the interference pattern that appears on a distant screen when coherent light is incident on a mask with two identical, very narrow slits. Points P and Q are maxima; Point R is a minimum. The wavelength of the light that created the interference pattern is \( \lambda = 577 \, \text{nm} \), the two slits are separated by \( d = 6 \, \mu \text{m} \), and the distance from the slits to the center of the screen is \( L = 80 \, \text{cm} \). The difference in path length at a point on the screen is \( \Delta s = |s_1 - s_2| \), where \( s_1 \) and \( s_2 \) are the distances from each slit to the point. 1. What is \( \Delta s \) (in nm) at Point P? - [Text box for answer] 2. What is \( \Delta s \) (in nm) at Point Q? - [Text box for answer] 3. What is \( \Delta s \) (in nm) at Point R? - [Text box for answer]
The image depicts an interference pattern typically observed in the double-slit experiment, illustrating the concept of wave interference. The diagram shows a sequence of alternating dark and light bands.

- **Bands**: The dark and light bands represent areas of destructive and constructive interference, respectively. The light bands are the result of constructive interference where the wave crests align, amplifying the light intensity. The dark bands occur where destructive interference happens, with the wave crest aligning with a trough, canceling each other out.

- **Labels**: 
  - Points P, Q, and R are indicated above specific light bands, highlighting points of interest within the interference pattern.
  - The "Center of Screen" is marked with an upward arrow, indicating the central maximum, which is typically the brightest part of the pattern due to direct alignment of the waves emerging from the slits.

This pattern results from coherent light passing through two closely spaced slits, demonstrating the wave nature of light through phenomena such as diffraction and interference. The distance between these bands can provide information about the wavelength of the light and the separation of the slits.
Transcribed Image Text:The image depicts an interference pattern typically observed in the double-slit experiment, illustrating the concept of wave interference. The diagram shows a sequence of alternating dark and light bands. - **Bands**: The dark and light bands represent areas of destructive and constructive interference, respectively. The light bands are the result of constructive interference where the wave crests align, amplifying the light intensity. The dark bands occur where destructive interference happens, with the wave crest aligning with a trough, canceling each other out. - **Labels**: - Points P, Q, and R are indicated above specific light bands, highlighting points of interest within the interference pattern. - The "Center of Screen" is marked with an upward arrow, indicating the central maximum, which is typically the brightest part of the pattern due to direct alignment of the waves emerging from the slits. This pattern results from coherent light passing through two closely spaced slits, demonstrating the wave nature of light through phenomena such as diffraction and interference. The distance between these bands can provide information about the wavelength of the light and the separation of the slits.
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