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wave paths to a distant screen are shown, leaving the slits at angle ₁. (The screen is so far away the paths appear parallel on this scale but eventually converge.) The dotted lines are drawn perpendicular to the paths of the waves. The wavelength of the light is λ = 624 nm. 1. How much farther does wave #1 travel compared to wave #2? 2. How much farther does wave #2 travel compared to wave #3? 3. When these six waves combine some distance away from the grating, they will interfere OA. destructively. OB. constructively. nm nm

wave paths to a distant screen are shown, leaving the slits at angle ₁. (The screen is so far away the paths appear parallel on this scale but eventually converge.) The dotted lines are drawn perpendicular to the paths of the waves. The wavelength of the light is λ = 624 nm. 1. How much farther does wave #1 travel compared to wave #2? 2. How much farther does wave #2 travel compared to wave #3? 3. When these six waves combine some distance away from the grating, they will interfere OA. destructively. OB. constructively. nm nm

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**Diffraction Grating Analysis** In this exercise, we explore six slits in a diffraction grating, with waves spreading out from each slit. Six specific wave paths to a distant screen are illustrated, leaving the slits at an angle \(\theta_1\). Although the waves are shown as parallel on the given scale, they eventually converge on the screen due to the large distance of the screen. **Diagram Description** - The diagram displays six divergent wave paths beginning from the slits. - Dotted lines are drawn perpendicular to these wave paths. **Key Parameters** - Wavelength of light: \(\lambda = 624 \, \text{nm}\) **Questions** 1. **Path Difference Between Waves:** - Calculate how much farther wave #1 travels compared to wave #2. - Calculate how much farther wave #2 travels compared to wave #3. 2. **Interference Pattern:** - When these six waves converge away from the grating, they interfere: - A. Destructively - B. Constructively - C. Between constructively and destructively.
Transcribed Image Text:**Diffraction Grating Analysis** In this exercise, we explore six slits in a diffraction grating, with waves spreading out from each slit. Six specific wave paths to a distant screen are illustrated, leaving the slits at an angle \(\theta_1\). Although the waves are shown as parallel on the given scale, they eventually converge on the screen due to the large distance of the screen. **Diagram Description** - The diagram displays six divergent wave paths beginning from the slits. - Dotted lines are drawn perpendicular to these wave paths. **Key Parameters** - Wavelength of light: \(\lambda = 624 \, \text{nm}\) **Questions** 1. **Path Difference Between Waves:** - Calculate how much farther wave #1 travels compared to wave #2. - Calculate how much farther wave #2 travels compared to wave #3. 2. **Interference Pattern:** - When these six waves converge away from the grating, they interfere: - A. Destructively - B. Constructively - C. Between constructively and destructively.
The image illustrates a diffraction grating diagram, often used in physics to demonstrate light wave interference. 1. **Structure**: The vertical series of black lines on the left represents the slits of a diffraction grating. They are labeled numerically from 1 to 6. 2. **Slit Separation (d)**: The distance between each consecutive slit is marked as "d". 3. **Wavefronts**: Semi-circular wavefronts emanate from each slit, indicating that light passing through the slits behaves like circular waves, spreading out in phase with each other. 4. **Direction of Waves**: The arrows show the direction in which each wavefront is traveling after passing through the slits. 5. **Diffraction Angle (\(\theta_1\))**: The angle labeled \(\theta_1\) represents the angle between the central line (dotted) and the diffracted wave, showing the direction of one of the principal maxima. This diagram is typically used to explain how a diffraction grating causes light to spread out or diffract, and how the constructive interference of these wavefronts leads to bright spots at specific angles, known as maxima.
Transcribed Image Text:The image illustrates a diffraction grating diagram, often used in physics to demonstrate light wave interference. 1. **Structure**: The vertical series of black lines on the left represents the slits of a diffraction grating. They are labeled numerically from 1 to 6. 2. **Slit Separation (d)**: The distance between each consecutive slit is marked as "d". 3. **Wavefronts**: Semi-circular wavefronts emanate from each slit, indicating that light passing through the slits behaves like circular waves, spreading out in phase with each other. 4. **Direction of Waves**: The arrows show the direction in which each wavefront is traveling after passing through the slits. 5. **Diffraction Angle (\(\theta_1\))**: The angle labeled \(\theta_1\) represents the angle between the central line (dotted) and the diffracted wave, showing the direction of one of the principal maxima. This diagram is typically used to explain how a diffraction grating causes light to spread out or diffract, and how the constructive interference of these wavefronts leads to bright spots at specific angles, known as maxima.
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