Chapter 37: Q. 6 (page 1081)

What temperature, in °C, is a blackbody whose emission spectrum peaks at (a) $300 n m$ and (b) localid="1649698615260" $3.00 μ m$ ?

Short Answer

Expert verified

Required temperatures are:

(a) $T = 9393.67 ° C$

(b) $T = 693.67 ° C$

Step by step solution

Part (a): Step 1: Given information

We have been given the wavelength as:

λ = 300 n m

Part (a): Step 2: Calculation

Using Wien's law,

$λ (n m) = \frac{2.9 \cdot 10^{6} (n m \cdot K)}{T}$

Here $λ$ is wavelength in nanometers and $T$ is temperature in Kelvin.

We get the expression for T: $T = \frac{2.9 \cdot 10^{6} (n m \cdot K)}{λ (n m)}$

Substituting $λ = 300 n m$ ,

$T = \frac{2.9 \cdot 10^{6} (n m \cdot K)}{300} T = 9666.67 K T = 9393.67 ° C$

Part (b): Step 1: Given Information

We have been given the wavelength as:

$λ = 3.00 μ m$

Part (b): Step 2: Calculation

Using Wein's Law:

$T = \frac{2.9 \cdot 10^{6} (n m \cdot K)}{3000} T = 966.67 K T = 693.67 ° C$

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What temperature, in °C, is a blackbody whose emission spectrum peaks at (a) $300 n m$ and (b) localid="1649698615260" $3.00 μ m$ ?

Short Answer

Step by step solution

Part (a): Step 1: Given information

Part (a): Step 2: Calculation

Part (b): Step 1: Given Information

Part (b): Step 2: Calculation

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What temperature, in °C, is a blackbody whose emission spectrum peaks at (a) 300nmand (b) localid="1649698615260" 3.00μm?

Short Answer

Step by step solution

Part (a): Step 1: Given information

Part (a): Step 2: Calculation

Part (b): Step 1: Given Information

Part (b): Step 2: Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Atoms and Radioactivity

Physical Quantities And Units

Electromagnetism

Circular Motion and Gravitation

Solid State Physics

Measurements

Study anywhere. Anytime. Across all devices.

What temperature, in °C, is a blackbody whose emission spectrum peaks at (a) $300 n m$ and (b) localid="1649698615260" $3.00 μ m$ ?