Consider the intensity I(T) vs. frequency ν graph of a black body, where the temperature T of the black body is initially T0 . If the temperature is increased to 4T0 , which of the following statements are true?

1

The frequency corresponding to the maximum intensity shifts to \( 4\nu_{\text{max}} \).

2

The intensity at the maximum point becomes 16 times the original intensity.

 
3

The total energy emitted per unit area under the curve increases by a factor of 256.

4

The maximum wavelength of the emitted radiation becomes \(\lambda_{\text{max}}/4\) .

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