Question

Electromagnetic radiation can be specified by its wavelength ( ), its frequency ( ) or its period ( ). The period is the time it takes one complete wavelength to pass a point in space. Based on this information, what is the mathematical relationship between and ?

Answer 1

The relation between f,T,λ

f=
`(1)/(T)`

λ =
`(v)/(f)`

λ =
`(v)/(T)`

Step-by-step explanation:

Let us consider,

wavelength as λ

frequency as f

time period as T

The time period is defined as time taken by the wave to complete one oscillation or number or seconds to complete one full oscillation.

The frequency is defined as number of oscillation done per second.

The wavelength is defined as distance between two successive crests or trough. in a wave.

The frequency and time period are reciprocals.

The wavelength and frequency are reciprocals ie larger the wavelength shorter is the frequency

The relation between frequency and time period is f =
`(1)/(T)`.

The relation between wavelength and frequency is λ =
`(v)/(f)`

where v is velocity of light.

The relation between wavelength and time period is λ =
`(v)/(T)`