Question

The maximum energy in the thermal radiation from a hot source occurs at a wavelength of 11 x 10⁻⁵ cm. According to Wien's law, the temperature of the source (on the Kelvin scale) will be n times the temperature of another source (on the Kelvin scale) for which the wavelength at maximum energy is 5.5 x 10⁻⁵ cm. The value of n is:  

Options

• 2

• 4

• `1/2`

• 1

Answer 1

`1/2`

Explanation:

`("n""T"_2)/"T"_2 = (lambda_("m"_2))/(lambda_("m"_1))`

= `(5.5 xx 10^5)/(11 xx 10^5)`

= `1/2`

or

n = `1/2`