CHAPTER 11. ELECTROMAGNETIC RADIATION 11.2
Example 1: EM radiation I
QUESTION
Calculate the frequency of an electromagnetic wave with a wavelength of
4 , 2 × 10 −^7 m.
SOLUTION
Step 1:Wave equation
We use the formula:c=fλto calculate frequency. The speed of light
is a constant 3 × 108 m·s−^1.
Step 2:Calculate
c = fλ
3 × 108 m·s−^1 = f× 4 , 2 × 10 −^7 m
f = 7, 14 × 1014 Hz
Step 3:Quote the final answer
The frequency is 7 , 14 × 1014 Hz.
Example 2: EM Radiation II
QUESTION
An electromagnetic wave has a wavelength of 200 nm. What is the frequency of
the radiation?
SOLUTION
Step 1:What do we know?
Recall that all radiation travels at the speed of light (c) in vacuum. Since
the question does not specify through what type of material the wave is
Physics: Waves, Sound and Light 189