i {(=] 0/16 Completed semmmmm— - 99 01:29:14 BY oo - Le 3 » IB i i hg = _ IB j 0 «Previous Guestion y 5
Question:
i {(=] 0/16 Completed semmmmm—
- 99 01:29:14
BY oo -
Le 3
» IB
i i
hg =
_ IB
j
0 «Previous Guestion y
5
This is AI generated Response.
Asked by: Veera manikanta
Created at: 2025-08-31 00:04:43
Asked by: Veera manikanta
Created at: 2025-08-31 00:04:43
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Let's solve the question:
**Question:**
"Consider a blackbody at 300K with maximum emissive power. Calculate the wavelength (μm) of the emissions."
To solve this, we use **Wien's Displacement Law**:
\[
\lambda_{max} = \frac{b}{T}
\]
where:
- \( \lambda_{max} \) = peak wavelength (in meters)
- \( b \) = Wien's constant (\(2.897 \times 10^{-3} \) m·K)
- \( T \) = temperature (in Kelvin)
Given \( T = 300\,K \):
\[
\lambda_{max} = \frac{2.897 \times 10^{-3}}{300}
\]
\[
\lambda_{max} = 9.657 \times 10^{-6} \text{ m}
\]
Convert meters to micrometers (\( 1\,\mu m = 10^{-6} \) m):
\[
\lambda_{max} = 9.657\,\mu m
\]
**Closest answer:**
**9.7 μm**
So, the correct option is **9.7 μm**.
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