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In the double-slit arrangement of the figure below, d = 0.150 mm, L= 121 cm, λ = 643 nm, and y = 1.30 cm. P L Viewing screen (a) What is the path difference & for the rays from the two slits arriving at P? μm

In the double-slit arrangement of the figure below, d = 0.150 mm, L= 121 cm, λ = 643 nm, and y = 1.30 cm. P L Viewing screen (a) What is the path difference & for the rays from the two slits arriving at P? μm

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need help with part a and b

**In the double-slit arrangement of the figure below,** \(d = 0.150 \, \text{mm}\), \(L = 121 \, \text{cm}\), \(\lambda = 643 \, \text{nm}\), and \(y = 1.30 \, \text{cm}\). **Diagram Explanation:** The diagram shows a typical double-slit experiment setup. Light waves pass through two slits, \(S_1\) and \(S_2\), separated by a distance \(d\). The light from these slits is projected onto a screen. The path difference \(\delta\) between the waves from \(S_1\) and \(S_2\) arriving at point \(P\) on the viewing screen is highlighted. Two rays, \(r_1\) and \(r_2\), are shown originating from the slits and meeting at \(P\). \(L\) represents the distance from the slits to the screen, and \(y\) is the vertical displacement from the central axis \(O\). **Questions:** (a) What is the path difference \(\delta\) for the rays from the two slits arriving at \(P\)? \[ \_\_\_\_\_\_ \, \mu\text{m} \] (b) Express this path difference in terms of \(\lambda\). \[ \_\_\_\_\_\_ \, \lambda \] (c) Does \(P\) correspond to a maximum, a minimum, or an intermediate condition? - ○ maximum - ○ intermediate - ● minimum (selected) This setup helps in understanding the concept of interference patterns resulting from coherent light sources, and how the path difference relates to the interference condition (maximum or minimum).
Transcribed Image Text:**In the double-slit arrangement of the figure below,** \(d = 0.150 \, \text{mm}\), \(L = 121 \, \text{cm}\), \(\lambda = 643 \, \text{nm}\), and \(y = 1.30 \, \text{cm}\). **Diagram Explanation:** The diagram shows a typical double-slit experiment setup. Light waves pass through two slits, \(S_1\) and \(S_2\), separated by a distance \(d\). The light from these slits is projected onto a screen. The path difference \(\delta\) between the waves from \(S_1\) and \(S_2\) arriving at point \(P\) on the viewing screen is highlighted. Two rays, \(r_1\) and \(r_2\), are shown originating from the slits and meeting at \(P\). \(L\) represents the distance from the slits to the screen, and \(y\) is the vertical displacement from the central axis \(O\). **Questions:** (a) What is the path difference \(\delta\) for the rays from the two slits arriving at \(P\)? \[ \_\_\_\_\_\_ \, \mu\text{m} \] (b) Express this path difference in terms of \(\lambda\). \[ \_\_\_\_\_\_ \, \lambda \] (c) Does \(P\) correspond to a maximum, a minimum, or an intermediate condition? - ○ maximum - ○ intermediate - ● minimum (selected) This setup helps in understanding the concept of interference patterns resulting from coherent light sources, and how the path difference relates to the interference condition (maximum or minimum).
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