First slide

Radiation

Question

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

Moderate

A

2
B

4
C

1/2
D

1

Solution

$\begin{array}{l} λ_{m} T = constant \\ (11 \times 10^{- 5}) T = (5 \cdot 5 \times 10^{- 5}) (\frac{T}{n}) \\ n = \frac{1}{2} \end{array}$

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