Green light has a frequency of about 5.3Hz�~10Green light has a frequency of about 5.3Hz�~ 10^{14}.
Using the relationship speed of light (c)=fă find its wavelength in air.
Period = 1/f = (1/5.3)10^-14 seconds
distance = speed * time
lambda = 3*10^8 m/s * (1/5.3)* 10^-14
= .566 * 10^-6 meters
= 566 * 10^-9 meters
10^-9 meters is nanometers, usually used for visible light wavelength
To find the wavelength of green light in air using the relationship speed of light (c) = fλ, where c is the speed of light, f is the frequency, and λ is the wavelength, we can rearrange the equation to find λ.
λ = c / f
Given:
Speed of light, c = 3 x 10^8 meters per second (m/s)
Frequency, f = 5.3 x 10^14 Hertz (Hz)
Substituting these values into the equation:
λ = (3 x 10^8 m/s) / (5.3 x 10^14 Hz)
Dividing the numbers:
λ = (3 / 5.3) x (10^8 / 10^14) m
Simplifying:
λ = (3 / 5.3) x 10^-6 m
λ = 0.566 x 10^-6 m
Expressing in scientific notation:
λ = 5.66 x 10^-7 m
Therefore, the wavelength of green light in air is approximately 5.66 x 10^-7 meters (m).
To find the wavelength of green light in air using the relationship speed of light (c) = frequency (f) × wavelength (λ), we can rearrange the equation to solve for wavelength (λ).
Given:
Frequency of green light (f) = 5.3 × 10^14 Hz
Speed of light in a vacuum (c) = 3 × 10^8 m/s
We can substitute the values into the equation:
c = f × λ
Rearranging the equation to solve for wavelength (λ), we have:
λ = c / f
Substituting the values:
λ = (3 × 10^8 m/s) / (5.3 × 10^14 Hz)
Now, let's simplify the expression:
λ = (3 / 5.3) × (10^8 / 10^14) m
We can simplify the exponent:
λ = (3 / 5.3) × (10^(-6)) m
Finally, multiplying the two terms together:
λ ≈ 5.66 × 10^(-7) m
Therefore, the approximate wavelength of green light in air is 5.66 × 10^(-7) meters.