Determine the Highest Frequency of Visible Light
Question:
Given that the wavelengths of visible light range from 400 nm to 700 nm, what is the highest frequency of visible light?
Use the speed of light
Options:
A. 3.1 × 108 Hz
B. 7.5 × 1014 Hz
C. 2.3 × 1020 Hz
D. 4.3 × 1014 Hz
E. 5.0 × 108 Hz
Given that the wavelengths of visible light range from 400 nm to 700 nm, what is the highest frequency of visible light?
Use the speed of light
c = 3.0 × 108 m/s.
Options:
A. 3.1 × 108 Hz
B. 7.5 × 1014 Hz
C. 2.3 × 1020 Hz
D. 4.3 × 1014 Hz
E. 5.0 × 108 Hz
📘 Step-by-Step Solution:
Step 1: Use the wave equation:
Where:
ν = c / λWhere:
ν= frequency (Hz)c= speed of light =3.0 × 108 m/sλ= wavelength in meters
Step 2: Use the shortest wavelength in visible range
The shortest wavelength =
The shortest wavelength =
400 nm = 400 × 10−9 m = 4.00 × 10−7 m
Step 3: Substitute into the formula
ν = (3.0 × 108 m/s) ÷ (4.00 × 10−7 m)
Step 4: Perform the calculation
ν = (3.0 / 4.0) × 108 − (−7) = 0.75 × 1015 Hz
✅ Final Answer:
The highest frequency of visible light is 7.5 × 1014 Hz.
Correct option: B
The highest frequency of visible light is 7.5 × 1014 Hz.
Correct option: B