# Stefan-Boltzmann's Relationship

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## Stefan-Boltzmann's Relationship Answer Key

**Instructions:**
Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

1.

According to Stefan-Boltzmann Law, the total intensity radiated over all wavelengths increases as the temperature .

- increases
- decreases

2.

The total energy radiated per unit surface area of a black body across all wavelengths per unit time is called .

- irradiance
- radiant exitance
- flux intensity
- black body spectrum

3.

According to the Stefan-Boltzmann Law, the radiant exitance or emissive power is directly proportional to the fourth power of the black body's .

- kinetic energy
- mass
- thermodynamic temperature
- specific heat

4.

Which of the following symbols represents the Stefan-Boltzmann constant?

- [math]del[/math]
- [math]phi[/math]
- [math]omega[/math]
- [math]sigma[/math]

5.

What are the SI units of the Stefan-Boltzmann constant of proportionality, [math]sigma[/math]?

- [math]J/(sm^2K^4)[/math]

6.

For “grey body” radiation represented by the equation, [math]j^"*"=epsilon sigma T^4[/math], what is the value of emissivity, [math]epsilon [/math]?

- less than one
- equal to one
- greater than one

7.

Which of the following constants will help in finding the intensity of the light emitted by an incandescent bulb?

- Planck constant
- Faraday constant
- Stefan-Boltzmann constant
- Wien displacement

8.

The Stefan-Boltzmann relationship can also be used to describe the energy density in the radiation in a given volume of space.

9.

What is the equation for the Stefan-Boltzmann law, and what do the variables in that equation represent?

- j* = [math]sigmaT^4[/math]

where

[math]j^"*"[/math] is the radiant exitance or emissive power

[math]sigma[/math] is the Stefan Boltzmann constant, and

T is thermodynamic temperature in Kelvin.

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