Please solve the problem

Question

the wavelength λ (lambda) of a radio wave in meters is given by λ=v⁄t
where the velocity of the wave v= 3.00x10^8 m/s and ƒ=the frequency of the wave in hertz. find the wavelength in meters and centimeters, of a radio wave whose frequency is 1010 kHz.

 

Answer 1

Hi Danish,

 

In this problem, we are told to find the answer in meters and centimeters, where the magnitude differs by 100. 1 m = 100 cm

 

One thing to also note, is that frequency is equal to 1 / t. In other words, t = 1 / f. So with the equation that they give you, they actually say that the wavelength can be calculated by velocity / frequency.

 

So plugging in v and f, which is in kHz:

 

λ = ν / f

 

λ = (3 * 10^8 m / s) / (1010 kHz * (1000 Hz / kHz)) = 297 m = 3.0 * 10^2 m)

 

To convert to centimeters, we multiply by 100. So the answer would be 3.0 * 10^4 cm in scientific notation.

 

Hope this helps!