Question

Light with a frequency of 7.30 x 1014 hz lies in the violet region of the visible spectrum. What is the wavelength of this frequency of light?

Answer 1

From the theory we know that:

c = λ / T

f = 1 / T

Where:

c = 3.
`10^(8)` / m (the speed of light)

λ is the wavelengh (in meters)

T is the period (in seconds)

f is the frequency (in Hz)

We were told that:

f = 7.30 .
`10^(14)`

And we want to find out the value of λ.

c = λ / T

c = λ . 1/T

Swaping 1/T = f

c = λ . f

λ = c / f

λ = 3 .
`10^(8)` / 7.30 .
`10^(14)`

λ = 4.12
`10^(-7)` m

Response: 4.12
`10^(-7)` m = 412 nm

:-)