Sodium vapor lamps are often used in residential street lighting. They give off yellow light with a frequency of about 5.91 × 1014 Hz. What is this wavelength in nm?
c = f*w
c = 3E8 m/s
f = freq in Hz
w = wavelength in m.
To find the wavelength of the yellow light emitted by sodium vapor lamps in nanometers (nm), we can use the formula:
wavelength = speed of light / frequency
The speed of light is approximately 3.00 × 10^8 meters per second.
First, we need to convert the frequency from hertz (Hz) to per second.
1 Hz = 1/s
So, the frequency is:
5.91 × 10^14 Hz = 5.91 × 10^14 1/s
Now, we can calculate the wavelength:
wavelength = (3.00 × 10^8 m/s) / (5.91 × 10^14 1/s)
wavelength = 5.08 × 10^-7 m
To convert the wavelength from meters to nanometers, we can multiply by 10^9:
wavelength = (5.08 × 10^-7 m) × (10^9 nm/m)
wavelength = 508 nm
Therefore, the wavelength of the yellow light emitted by sodium vapor lamps is approximately 508 nm.
To find the wavelength of light in nanometers (nm), you can use the equation:
c = λν
where:
c is the speed of light (approximately 3.00 × 10^8 meters per second),
λ (lambda) is the wavelength of light in meters,
ν (nu) is the frequency of light in hertz.
First, let's convert the frequency from Hz to s^-1:
5.91 × 10^14 Hz = 5.91 × 10^14 s^-1
Now, rearrange the equation to solve for wavelength:
λ = c / ν
Substitute the values:
λ = (3.00 × 10^8 m/s) / (5.91 × 10^14 s^-1)
λ ≈ 5.08 × 10^-7 meters
Finally, convert the wavelength from meters to nanometers by multiplying by 10^9:
λ ≈ 5.08 × 10^-7 meters × (10^9 nm / 1 meter)
λ ≈ 508 nm
Therefore, the wavelength of the yellow light emitted by sodium vapor lamps is approximately 508 nm.