Question

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

• A. 2
• B. 4
• C. $\frac { 1 } { 2 }$
• D. 1

Answer 1

Answer: (C)

$\frac { 1 } { 2 }$

Answer 2

$\frac { T _ { 1 } } { T _ { 2 } } = \frac { \lambda _ { m _ { 2 } } } { \lambda _ { m _ { 1 } } } = \frac { 5.5 \times 10 ^ { 5 } } { 11 \times 10 ^ { 5 } } = \frac { 1 } { 2 }$ ⇒ $n = \frac { 1 } { 2 }$ .