Scottish Highers Physics Spectra: A student makes the following st

A student makes the following statements about the emitted radiation from stellar objects - Scottish Highers Physics - Question 9 - 2023

Question 9

A student makes the following statements about the emitted radiation from stellar objects. I The peak wavelength of emitted radiation is longer for hotter objects ... show full transcript

Worked Solution & Example Answer:A student makes the following statements about the emitted radiation from stellar objects - Scottish Highers Physics - Question 9 - 2023

Step 1

I The peak wavelength of emitted radiation is longer for hotter objects than for cooler objects.

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Answer

This statement is incorrect. According to Wien's displacement law, the peak wavelength of emitted radiation is inversely proportional to the temperature of the object. Therefore, hotter objects emit radiation at shorter wavelengths.

Step 2

II A 'blue' star is likely to be hotter than a 'red' star.

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Answer

This statement is correct. Blue stars have higher temperatures compared to red stars. The color of a star is indicative of its surface temperature, with blue stars being significantly hotter than red ones.

Step 3

III The radiation emitted per unit surface area per unit time is greater for hotter objects.

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Answer

This statement is correct. According to the Stefan-Boltzmann law, the total energy radiated per unit surface area of a black body is proportional to the fourth power of its temperature. Therefore, hotter objects indeed emit more radiation per unit surface area.

A student makes the following statements about the emitted radiation from stellar objects - Scottish Highers Physics - Question 9 - 2023

Worked Solution & Example Answer:A student makes the following statements about the emitted radiation from stellar objects - Scottish Highers Physics - Question 9 - 2023

I The peak wavelength of emitted radiation is longer for hotter objects than for cooler objects.

II A 'blue' star is likely to be hotter than a 'red' star.

III The radiation emitted per unit surface area per unit time is greater for hotter objects.

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