Question

The wavelength at which Earth’s emitted radiation is maximum is ______ at which the wavelength of the Sun’s emitted radiation peaks.

Answer 1

The wavelength at which Earth's emitted radiation is maximum is much longer than the wavelength at which the Sun's emitted radiation peaks.

Step-by-step explanation:

The wavelength at which Earth’s emitted radiation is maximum is much longer than the wavelength at which the Sun’s emitted radiation peaks.

According to Wien's law, the wavelength at which maximum power is emitted is inversely proportional to the temperature of the source. The hotter the source, the shorter the wavelength. Since the Sun's surface temperature is about 5,500 degrees Celsius, its emitted radiation peaks in the visible light spectrum around 520 nanometers (nm). On the other hand, Earth's surface temperature is much lower, around 15 degrees Celsius, resulting in longer-wavelength radiation in the infrared spectrum.

Answer 2

inversely proportional to the temperature

Step-by-step explanation:

Wein's displacement law states the wavelength at which Earth’s emitted radiation is maximum is inversely proportional to the temperature at which the wavelength of the Sun’s emitted radiation peaks.

λmax
`= (b)/(T)`

where,

λmax is the maximum wavelength

b is a constant of proportionality called Wien's displacement constant (b = 2.897 × 10⁻³ m.K)

T is the absolute temperature in kelvins