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Statement I: As the temperature of the black body increases, the wave length at which the spectral intensity $(E_{λ})$ is maximum decreases.
Statement II: The wavelength at which the spectral intensity will be maximum for a black body is proportional to the fourth power of its absolute temperature.

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Statement II is correct but statement I is incorrect

Both statement I and statement II are correct and statement II is the correct explanation of statement I

Both statement I and statement II are correct and statement II is not the correct explanation of statement I

Statement I is correct but statement II is incorrect

answer is C.

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Detailed Solution

From Wein’s law $λ_{m} T =$ constant
i.e.peak emission wavelength $λ_{m} \infty \frac{1}{T}$
as T increases $λ_{m}$ decreases.

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