68.1k views
4 votes
What is the frequency of an X-ray that has a wavelength of 1.5 x 10 -9 m? The speed of electromagnetic radiation is 3.0 x 10 8 m/s. [v = λƒ]

User Liza Daly
by
3.7k points

1 Answer

4 votes

Answer:

2.0x10¹⁷ Hz is the frequency of the X-ray

Step-by-step explanation:

We can find the frequency of a wave of energy from the wavelenght and its speed using the formula:

v = λƒ

Where v is speed (For electromagnetic radiation = 3.0x10⁸m/s)

λ is the wavelength in meters = 1.5x10⁻⁹m

And f is the frequency in s⁻¹ = Hz

Replacing:

3.0x10⁸m/s = 1.5x10⁻⁹m*ƒ

3.0x10⁸m/s / 1.5x10⁻⁹m = f

f =

2.0x10¹⁷ Hz is the frequency of the X-ray

User Jignesh Gohel
by
4.5k points