In this lab the student will make use of Wien's Law and the Stellar radius formula to calculate the sizes of a number of stars. Please present your answers in a concise table with star name as on column, and star size in terms of the size of the sun in another column. Relevant Laws: Wien's Law: Amar = 2.98 x 10° /T The value of T is in Kelvin. Stellar Radius Formula: R= R, L, and T must be in terms of the size of the sun. The Sun's temperature is 6000 Kelvin. Calculate the sizes for each of these stars:

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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**Lab Exercise 2: Stellar Radius Lab**

In this lab, the student will make use of Wien’s Law and the Stellar radius formula to calculate the sizes of a number of stars. Please present your answers in a concise table with the star name as one column, and star size in terms of the size of the sun in another column.

**Relevant Laws:**

- **Wien’s Law:**  
  \(\lambda_{\text{max}} = \frac{2.98 \times 10^6}{T}\)  
  The value of T is in Kelvin.

- **Stellar Radius Formula:**  
  \(R = \sqrt{\frac{L}{T^4}}\)  
  R, L, and T must be in terms of the size of the sun.

The Sun’s temperature is 6000 Kelvin.

Calculate the sizes for each of these stars:

| Star name     | Luminosity | \(\lambda_{\text{max}}\) |
|---------------|------------|---------------------------|
| Antares       | 550        | 930 nm                    |
| Arcturus      | 115        | 690 nm                    |
| Barnard’s star| 0.004      | 1200 nm                   |
| Betelgeuse    | 14000      | 930 nm                    |
| Pollux        | 42         | 650 nm                    |
Transcribed Image Text:**Lab Exercise 2: Stellar Radius Lab** In this lab, the student will make use of Wien’s Law and the Stellar radius formula to calculate the sizes of a number of stars. Please present your answers in a concise table with the star name as one column, and star size in terms of the size of the sun in another column. **Relevant Laws:** - **Wien’s Law:** \(\lambda_{\text{max}} = \frac{2.98 \times 10^6}{T}\) The value of T is in Kelvin. - **Stellar Radius Formula:** \(R = \sqrt{\frac{L}{T^4}}\) R, L, and T must be in terms of the size of the sun. The Sun’s temperature is 6000 Kelvin. Calculate the sizes for each of these stars: | Star name | Luminosity | \(\lambda_{\text{max}}\) | |---------------|------------|---------------------------| | Antares | 550 | 930 nm | | Arcturus | 115 | 690 nm | | Barnard’s star| 0.004 | 1200 nm | | Betelgeuse | 14000 | 930 nm | | Pollux | 42 | 650 nm |
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