Question

Question 23 (5 points)

What is the wavelength of radiation having a frequency of 4.80 x 1017 s-12
C = av
c= speed of light (3.00 x 108 ms-?)
X = wavelength in meters (m)
V = frequency = waves per second(s)
Show formula set up (2 pt)
Show calculator answer (1pt)
Show correct answer to the correct place with correct units (1 pt)
Use table 3 in data booklet to identify the type of radiation (1 pt)

Answer 1

λ = 6.25 × 10⁻¹⁰ m

x-ray

General Formulas and Concepts:

Speed of Light = Wavelength times Frequency

• c = λν

Step-by-step explanation:

Step 1: Define

C = 3.0 × 10⁸ m/s

ν = 4.80 × 10¹⁷ Hz (s⁻¹)

λ = unknown

Step 2: Solve for wavelength

3.0 × 10⁸ m/s = λ(4.80 × 10¹⁷ Hz)

λ = 6.25 × 10⁻¹⁰ m

Step 3: Check

We are given 3 sig figs. Follow sig fig rules.

6.25 has 3 sig figs. No changes necessary.

Step 4: Identify

6.25 × 10⁻¹⁰ m is in the x-ray spectrum according the the Electromagnetic Spectrum