Answer to Question #105372 in Electricity and Magnetism for Ghadeer

Question

Gamma rays make sterilization easier they are used in autoclaves. They emits electromagnetic wave of wavelength 0.6*10^-9m determine the period of wave lenghth
Deduce the frequency of this wave

Answer 1

The period of wave and its frequency related to the wavelength via the propagation speed. For gamma rays wich are the  kind of electromagnetic wave with speed of propagation $c=3\cdot 10^8 ms^{-1}$ .

For frequency of gamma rays we have $f=\frac{c}{\lambda}=\frac{3\cdot 10^8 ms^{-1}}{0.6\cdot 10^{-9}m}=5\cdot10^{17}Hz$ .

For period of gamma rays we have $T=\frac{\lambda}{c}=\frac{1}{f}=2\cdot 10^{-18}s$ .

Answer: Frequency of gamma rays with wavelength $\lambda =0.6\cdot 10^{-9}m$ is $f=5\cdot10^{17}Hz$ and period is $T=2\cdot 10^{-18}s$.