Chapter 27, Problem 4P

To determine

Temperature of a metal being welded.

Answer to Problem 4P

Solution:

Temperature of metal being welded is $5577\text{K}$.

Explanation of Solution

Given:

Wavelength of radiation, $\lambda =520\text{nm}=\text{520}\times {\text{10}}^{-9}\text{m}$.

Formula used:

The temperature of the metal is calculated by the Wien’s law

$\lambda \times T=0.0029$

Here,

$\lambda$ is the wavelength:

$T$ is the temperature

Calculation:

The temperature of the metal being welded is calculated as

$\lambda \times T=0.0029$

Plugging the values in the above equation

$\begin{array}{c}520\times {10}^{-9}\times T=0.0029\\ T=5576.92\text{K}\\ =\text{5577}\text{K}\end{array}$