asked 836 views
5 votes
Calculate the wavelength of an x ray that has a frequency of 3 x 1018 Hz. Show all work.

i hate asking so much but i don't understand this and the test is tomorrow.

asked
User Galvan
by
8.3k points

1 Answer

5 votes

Answer:

The wavelength of x-ray is 1 ×10⁻¹⁰ m.

Step-by-step explanation:

Given data:

Frequency of xray = 3×10¹⁸ Hz

Wavelength of xray = ?

Solution:

Formula:

Speed of light = wavelength × frequency

c = λ × f

λ = c/f

This formula shows that both are inversely related to each other.

The speed of light is 3×10⁸ m/s

Frequency is taken in Hz.

It is the number of oscillations, wave of light make in one second.

Wavelength is designated as "λ" and it is the measured in meter. It is the distance between the two crust of two trough.

Now we will put the values in formula.

λ = 3×10⁸ m/s / 3×10¹⁸ Hz

Hz = s⁻¹

λ = 1 ×10⁻¹⁰ m

The wavelength of radiation is 1 ×10⁻¹⁰ m.

answered
User Pavel Shorokhov
by
9.3k points
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