Radiowaves in the am region have frequencies in the range 550 to 1600 kilocycles per second (550 to 1600 kh) calculate the wavelength corresponding to a radio wave of frequency 1.365×10^6a and 1365kh

wavelength = 219.8 m

Explanation:

Data Given:

Frequency of radio wave = 1.365×10⁶ A or 1365 kHz

wavelength = ?

Solution:

As Frequency of radio wave is 1.365×10⁶ s⁻¹ or 1365 kHz

if we look for conversion of KHz to s⁻¹

So,

1 KHz = 1000

1365 kHz = 1365 x 1000 = 1.365×10⁶ s⁻¹

So

1365 kHz = 1.365×10⁶ s⁻¹

Now equation used to calculate wavelength

              f = c/λ

rearrange the above equation

             λ = c/f (1)

Where:

c = speed of light = 3 x 10⁸ ms⁻¹

λ= wavelength

put the values in above equation 1

              λ = 3 x 10⁸ ms⁻¹ / 1.365×10⁶ s⁻¹

               λ = 219.8 m

So the wavelength of radio wave =  219.8 m

the answer would be a