Question

The wavelength of maximum emitted energy of a body at 700 K is 4.08 $\mu m$. If the temperature of the body is raised to 1400 K, the wavelength of maximum emitted energy will be

• A. $1.02\mspace{6mu}\mu m$
• B. 16.32$\mu m$
• C. 8.16$\mu m$
• D. 2.04$\mu m$

Answer 1

Answer: (D)

2.04$\mu m$

Answer 2

$\lambda_{m_{1}}T_{1} = \lambda_{m_{2}}T_{2} \Rightarrow \lambda_{m_{2}} = \frac{\lambda_{m_{1}}T_{1}}{T_{2}}$ $= 4.08 \times \frac{700}{1400} = 2.04m$