Calculate the wave length for the following examples of sinu

Calculate the wave length for the following examples of sinusoidal electromagnetic radiation. (Note for comparison that an atomic diameter is about 1 Times 10^-10m.) radio, 1248 kilohertz television, 113 megahertz heat lamp, 4.2 Times 10^13 hertz red light, 4.7 Times 10^14 hertz blue light, 7.5 Times 10^14 hertz x-ray, 5.6 Times 10^18 hertz gamma rays, 7.4 Times 10^20 hertz

Solution

Here ,

As wavelength is given as

wavelength = speed of em wave/frequency

wavelength = 3 *10^8/(1248 *10^3) = 240.4 m

for frequency = 113 Mhz

wavelength = 3 *10^8/(113 *10^6) = 2.654 m

for frequency = 4.2 *10^13

wavelength = 3 *10^8/( 4.2 *10^13) = 7.16 *10^-6 m

for frequency = 4.2 *10^13

wavelength = 3 *10^8/( 4.2 *10^13) = 7.16 *10^-6 m

frequency = 4.7 *10^14 Hz

for frequency = 4.7 *10^14 Hz

wavelength = 3 *10^8/( 4.7 *10^14) = 6.382 *10^-6 m

for blue light

for frequency = 7.5 *10^14 Hz

wavelength = 3 *10^8/(7.5 *10^14) = 4 *10^-7 m

for x ray

for frequency = 5.6 *10^18 Hz

wavelength = 3 *10^8/(5.6 *10^18) = 5.36 *10^-11 m

for gamma rays

for frequency = 7.4 *10^20 Hz

wavelength = 3 *10^8/(7.4 *10^20) = 4.05 *10^-13 m