Light of wavelength 550 nm in vacuum passes through a piece of crown glass of refractive index of 1.52. Find the velocity and frequency of light in crown glass.
V = c/1.52 = 1.99*10^8 m/s
frequency = V/(wavelength)
= 1.99*10^8/550*10^-9
= 3.61*10^14 Hz
To find the velocity and frequency of light in crown glass, we can use the relationship between the velocity, wavelength, and frequency of light.
The velocity of light in a medium can be calculated using the equation:
velocity = speed of light in vacuum / refractive index
Given:
- Speed of light in vacuum = 3.00 x 10^8 meters per second
- Wavelength of light in vacuum = 550 nm
- Refractive index of crown glass = 1.52
1. Convert the wavelength from nanometers (nm) to meters (m):
- 1 nm = 1 x 10^-9 m
- So, 550 nm = 550 x 10^-9 m = 5.5 x 10^-7 m
2. Calculate the velocity of light in crown glass:
- velocity = (speed of light in vacuum) / (refractive index)
- velocity = (3.00 x 10^8 m/s) / 1.52
The velocity of light in crown glass is approximately 1.97 x 10^8 m/s.
3. Finally, to find the frequency of light in crown glass, we can use the equation:
- frequency = velocity / wavelength
frequency = (1.97 x 10^8 m/s) / (5.5 x 10^-7 m)
The frequency of light in crown glass is approximately 3.58 x 10^14 Hz.