Question

What is the frequency of light waves with a wavelength of 3x10¹⁰m? (With solution please) THANK YOU!​

Answer 1

`f = 0.01Hz`

Step-by-step explanation:

Given

`Wavelength = 3 * 10^(10)m`

Required

Determine the frequency of the light waves

Frequency is calculated using:

`c = fL`

Where

c = speed of light

and

`c = 2.998 * 10^8 m/s`

Make f the subject in:

`c = fL`

`f = (c)/(L)`

Substitute values for c and L

`f = (2.998 * 10^8)/(3*10^(10))`

Apply law of indices

`f = (2.998 * 10^(8-10))/(3)`

`f = (2.998)/(3) * 10^(-2)`

`f = 0.9993 * 10^(-2)`

Approximate

`f = 1 * 10^(-2)`

`f = 10^(-2)Hz`

or

`f = 0.01Hz`