1. wavelength = (cavity length)/50,000
(50,000 is the number of half waves between the mirrors)
2. frequency = (speed of light)/wavelength
1. What is the wavelength of the laser beam?
2. What is the frequency of the laser beam?
(50,000 is the number of half waves between the mirrors)
2. frequency = (speed of light)/wavelength
m=100000
L=48.4/100=0.484m
wavelength= 9.68x10^-6m
2) fn=n(speed of light)/wavelength
speed of light =299,792,458 m/s
fn= 100000(299792458)/9.68x10^-6
= 3.10x10^28 Hz
λ = 2L / m
where λ is the wavelength, L is the cavity length, and m is the mode of oscillation.
1. Calculating the wavelength:
Given:
L = 48.4 cm
m = 100,000.0
Substituting these values into the formula:
λ = 2 * 48.4 cm / 100,000.0
= 0.0968 cm
Therefore, the wavelength of the laser beam is 0.0968 cm.
2. Calculating the frequency:
The frequency (f) can be calculated using the equation:
c = λ * f
where c is the speed of light and λ is the wavelength.
Given:
λ = 0.0968 cm
c = 2.998 x 10^10 cm/s (speed of light in cm/s)
Substituting these values into the equation:
2.998 x 10^10 cm/s = 0.0968 cm * f
Rearranging the equation to solve for f:
f = (2.998 x 10^10 cm/s) / 0.0968 cm
= 3.09 x 10^11 Hz
Therefore, the frequency of the laser beam is 3.09 x 10^11 Hz.
c = λ * f
Where:
c = speed of light in vacuum (approximately 3 x 10^8 m/s)
λ = wavelength of the laser beam
f = frequency of the laser beam
1. To find the wavelength (λ), we can rearrange the formula as:
λ = c / f
Substituting the known values:
λ = (3 x 10^8 m/s) / 100,000.0
Calculating:
λ ≈ 3 x 10^3 m/s
Therefore, the wavelength of the laser beam is approximately 3 x 10^3 m.
2. Now, to find the frequency (f), we can rearrange the formula as:
f = c / λ
Substituting the known values:
f = (3 x 10^8 m/s) / (3 x 10^3 m)
Calculating:
f ≈ 1 x 10^5 Hz
Therefore, the frequency of the laser beam is approximately 1 x 10^5 Hz.