Question

What is the frequency of green light if the wavelength is 4.2 x 10^(-9) m?

Answer 1

The frequency of green light is 7.14*10¹⁶ Hz

Step-by-step explanation:

Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. it is expressed in units of length (m).

Frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

Propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave's disturbance propagates throughout its displacement. Relate wavelength (λ) and frequency (f) inversely proportional using the following equation: v = f * λ.

So, light has an exact speed of 299,792,458 kilometers per second, which usually approaches 3 * 10⁸ m/s.

Then, you know:

• v= 3 * 10⁸ m/s
• f=?
• λ= 4.2*10⁻⁹ m

Replacing:

3*10⁸ m/s=f*4.2*10⁻⁹ m

Solving:

`f=(3*10^(8)(m)/(s) )/(4.2*10^(-9) m)`

f= 7.14*10¹⁶ Hz

The frequency of green light is 7.14*10¹⁶ Hz