For an object producing a thermal spectrum, a higher temperature causes the spectrum to have . a. a peak intensity located at shorter wavelength b. a peak intensity located at longer wavelength c. more prominent emission lines d. more prominent absorption lines

a. a peak intensity located at shorter wavelength

Explanation:

We can answer this question by using Wien's displacement law, which relates the temperature of a black body to the peak wavelength of the spectrum of its emitted radiation, as follows:

where:

is the wavelength of the peak of its spectrum

T is the absolute temperature at the surface of the body

is called Wien's constant

From the equation above, we see that the peak wavelength and the temperature have an inverse relationship. In fact, we can rewrite it as

By looking at the equation in this form, we can see that the higher the temperature of the object, the shorter the wavelength of its peak: therefore, the correct answer is

a. a peak intensity located at shorter wavelength

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