Photons from the Balmer series of hydrogen transitions are sent through a double slit. What must be the distance between the slits such that the lowest energy Balmer transition has a first-order maximum (maximum adjacent to the central maximum) at an angle 2.00⁰? Express your answer in um. Type your answer... At what angle, in degrees, would the first maximum be for the fourth-lowest energy Balmer transition photon, when sent through the slits above? Type your answer... Submit

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**Double Slit Experiment with Balmer Series Photons**

This exercise involves sending photons from the Balmer series of hydrogen transitions through a double slit. The objective is to calculate specific parameters for observing diffraction patterns.

1. **Distance Calculation Between Slits:**
   - **Problem Statement:** Determine the distance between the slits so that the lowest energy Balmer transition has a first-order maximum (adjacent to the central maximum) at an angle of 2.00°.
   - **Solution Requirement:** Express the calculated distance in micrometers (µm).

   **Input Box:** 
   - Placeholder text: "Type your answer..."

2. **Angle Calculation for Fourth-Lowest Energy Photon:**
   - **Problem Statement:** Calculate the angle, in degrees, for the first maximum of the fourth-lowest energy Balmer transition photon, when transmitted through the same slits.
   - **Solution Requirement:** Express the calculated angle in degrees.

   **Input Box:** 
   - Placeholder text: "Type your answer..."

**Scoring Information:**
- Total Questions: 2
- Points per question: 2 points

After completing your calculations, please submit your answers by clicking the "Submit" button.
Transcribed Image Text:**Double Slit Experiment with Balmer Series Photons** This exercise involves sending photons from the Balmer series of hydrogen transitions through a double slit. The objective is to calculate specific parameters for observing diffraction patterns. 1. **Distance Calculation Between Slits:** - **Problem Statement:** Determine the distance between the slits so that the lowest energy Balmer transition has a first-order maximum (adjacent to the central maximum) at an angle of 2.00°. - **Solution Requirement:** Express the calculated distance in micrometers (µm). **Input Box:** - Placeholder text: "Type your answer..." 2. **Angle Calculation for Fourth-Lowest Energy Photon:** - **Problem Statement:** Calculate the angle, in degrees, for the first maximum of the fourth-lowest energy Balmer transition photon, when transmitted through the same slits. - **Solution Requirement:** Express the calculated angle in degrees. **Input Box:** - Placeholder text: "Type your answer..." **Scoring Information:** - Total Questions: 2 - Points per question: 2 points After completing your calculations, please submit your answers by clicking the "Submit" button.
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