Chapter 5, Problem 48A

Interpretation Introduction

Interpretation:

Speed of an electromagnetic wave with a frequency of $1.33\times {10}^{17}Hz$ and a wavelength of $2.25nm$ needs to be calculated.

Concept introduction:

Speed or velocity is defined as the distance covered in one second by the wave. It is denoted by the letter ‘ $c$ ’. It is related to wavelength and frequency as follows:

$c=\lambda \nu$

Here, $\lambda$ is wavelength and $\upsilon$ is frequency.

Answer to Problem 48A

Speed of an electromagnetic wave with a frequency of $1.33\times {10}^{17}Hz$ and a wavelength of $2.25nm$ $=3\times {10}^{8}m/s$

Explanation of Solution

Given information:

Frequency $=1.33\times {10}^{17}Hz$

Wave length = $2.25nm=2.25\times {10}^{-9}m$

Calculation:

$V=\nu \lambda$

Where,

$V=$ speed of electromagnetic wave

$\nu =$ frequency

$\lambda =$ wavelength

$\nu =1.33\times {10}^{17}Hz\times 2.25\times {10}^{-9}m$

$\nu =2.99\times {10}^8\approx$

$3\times {10}^{8}m/s$.

Conclusion

Speed of an electromagnetic wave with a frequency of $1.33\times {10}^{17}Hz$ and a wavelength of $2.25nm=3\times {10}^{8}m/s$