If a neutron star has a radius of 13 km and a temperature of 9.0 x 106 K, how luminous is it? Express your answer in watts and also in solar luminosity units. (Hint: Use the relation luminosity of the Sun is 3.83 x 1026 w.) luminosity in watts luminosity in solar luminosity units Enter a number. xw 1x to "T" (R) (7). Use 5,800 K for the surface temperature of the Sun. The
If a neutron star has a radius of 13 km and a temperature of 9.0 x 106 K, how luminous is it? Express your answer in watts and also in solar luminosity units. (Hint: Use the relation luminosity of the Sun is 3.83 x 1026 w.) luminosity in watts luminosity in solar luminosity units Enter a number. xw 1x to "T" (R) (7). Use 5,800 K for the surface temperature of the Sun. The
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![### Calculating the Luminosity of a Neutron Star
#### Problem Statement:
If a neutron star has a radius of 13 km and a temperature of \(9.0 \times 10^6\) 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 \(3.83 \times 10^{26}\) watts.
#### Input Fields:
- **Luminosity in watts:** [Enter a number] W
- **Luminosity in solar luminosity units:** [Enter a number] \(L_\odot\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10987a05-6004-4fb1-8846-eb9d55f60d7e%2Fb98fd69e-7b42-4392-ba28-12ccae6c448c%2Ff129bds_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculating the Luminosity of a Neutron Star
#### Problem Statement:
If a neutron star has a radius of 13 km and a temperature of \(9.0 \times 10^6\) 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 \(3.83 \times 10^{26}\) watts.
#### Input Fields:
- **Luminosity in watts:** [Enter a number] W
- **Luminosity in solar luminosity units:** [Enter a number] \(L_\odot\)
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