Question

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​

Answer 1

wavelength = 219.8 m

Step-by-step 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