Question

The period of a carrier wave is T=0.01 seconds. Determine the frequency and wavelength of the carrier wave. a. f=10 Hz, λ=3E8 meters b. f=100 Hz, λ=3E7 meters c. f=100 Hz, λ=3E6 meters d. f=10 Hz, λ=3E7 meters

Answer 1

Step-by-step explanation:

It is given that,

The period of the carrier wave, T = 0.01 s

Let f and
`\lambda` are frequency and the wavelength of the wave respectively. The relationship between the time period and the frequency is given by :

`f=(1)/(T)`

`f=(1)/(0.01)`

f = 100 Hz

The wavelength of a wave is given by :

`\lambda=(c)/(f)`

`\lambda=(3* 10^8)/(100)`

`\lambda=3* 10^6\ m`

So, the frequency and wavelength of the carrier wave are 100 Hz and
`3* 10^6\ m` respectively. Hence, the correct option is (c).