Question

1) A light wave has a frequency of 2.0 x 10^6 Hz. what is the wavelength of this light wave?

2) Calculate the wavelength of a wave with a frequency of 2.5 x10^7HZ.
3) Calculate the frequency of a wave with a wavelength of 3.75 x 10^6 meters.

Answer 1

answers

1

λ =
`1.5*10^(-2)` meters

2

λ =
`1.2*10^(-1)` meters

3

f =
`8.0*10^(1)` Hz

Step-by-step explanation

the equation c = λf can be used

c is the speed of light =
`3*10^8`

λ is the wavelength

f is the frequency

1

c = λf

`3*10^8=2.0*10^6`λ

λ =
`(3*10^8)/(2.0*10^6)`

λ =
`1.5*10^(-2)` meters

2

c = λf

`3*10^8=2.5*10^7`λ

λ =
`(3*10^8)/(2.5*10^7)`

λ =
`1.2*10^(-1)` meters

3

c = λf

`3*10^8=3.75*10^6`f

f =
`(3*10^8)/(3.75*10^6)`

f =
`8.0*10^(1)` Hz