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Applying Wein's displacement law, λₘT = constant. 5000 Å × (1227 + 273) = (2227 + 273) × λₘ. λₘ = 5000 × 1500 / 1000 = 3000Å.

1. Applying Wein's displacement law, λₘT = constant.
2. 5000 Å × (1227 + 273) = (2227 + 273) × λₘ.
3. λₘ = 5000 × 1500 / 1000 = 3000Å.
4. None of the above.

Correct answer: λₘ = 5000 × 1500 / 1000 = 3000Å.

Solution

The correct option is C because the calculation of λₘ using Wein's displacement law is accurate and matches the given data.

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