Question

The maximum energy in the thermal radiation from a hot source occurs at a wavelength of $11\times {10}^{-5}$ cm. According to Wien's law, the temperature of this source (on Kelvin scale) will be n times the temperature of another source (on Kelvin scale) for which the wavelength at maximum energy is $\mathrm{5.5.}\times {10}^{-5}$cm. The value n is

• A. 2
• B. 4
• C. 1/2
• D. 1

Answer 1

The correct option is C 1/2

Using Wein's law: ${\lambda }_{peak}T=c$

So, $11\times {10}^{-5}{T}_1=5.5\times {10}^{-5}{T}_2$

So, $\frac{T_1}{T_2}=\frac{1}{2}$