If a neutron star has a radius of 13 km and a temperature of 9.0 x 10° K, how luminous is it? Express your answer in watts and also in solar luminosity units. (Hint: Use the relation Use 5,800 K for the surface temperature of the Sun. The luminosity of the Sun is 3.83 x 1026 w.) luminosity in watts luminosity in solar luminosity units Le
If a neutron star has a radius of 13 km and a temperature of 9.0 x 10° K, how luminous is it? Express your answer in watts and also in solar luminosity units. (Hint: Use the relation Use 5,800 K for the surface temperature of the Sun. The luminosity of the Sun is 3.83 x 1026 w.) luminosity in watts luminosity in solar luminosity units Le
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![**Problem Statement:**
If a neutron star has a radius of 13 km and a temperature of \(9.0 \times 10^6 \, \text{K}\), how luminous is it? Express your answer in watts and also in solar luminosity units.
**Hint:** Use the relation
\[
\frac{L}{L_{\odot}} = \left( \frac{R}{R_{\odot}} \right)^2 \left( \frac{T}{T_{\odot}} \right)^4
\]
Use 5,800 K for the surface temperature of the Sun. The luminosity of the Sun is \(3.83 \times 10^{26} \, \text{W}\).
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**Required Calculations:**
- **Luminosity in watts:** [Input box]
- **Luminosity in solar luminosity units:** [Input box] \(L_{\odot}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10987a05-6004-4fb1-8846-eb9d55f60d7e%2Fce0a4ef0-b40f-4ac0-af19-25f0d22de747%2Fx13h2z_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
If a neutron star has a radius of 13 km and a temperature of \(9.0 \times 10^6 \, \text{K}\), how luminous is it? Express your answer in watts and also in solar luminosity units.
**Hint:** Use the relation
\[
\frac{L}{L_{\odot}} = \left( \frac{R}{R_{\odot}} \right)^2 \left( \frac{T}{T_{\odot}} \right)^4
\]
Use 5,800 K for the surface temperature of the Sun. The luminosity of the Sun is \(3.83 \times 10^{26} \, \text{W}\).
---
**Required Calculations:**
- **Luminosity in watts:** [Input box]
- **Luminosity in solar luminosity units:** [Input box] \(L_{\odot}\)
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