Sodium vapor lamps are often used in residential street lighting. Sodium gives off two yellow lines of light having frequencies of 5.09 × 1014 Hz and 5.08 × 1014 Hz. What is this wavelengths of light in nm?

Question

Sodium vapor lamps are often used in residential street lighting. Sodium gives off two yellow lines of light having frequencies of 5.09 × 1014 Hz and 5.08 × 1014 Hz. What is this wavelengths of light in nm?

would I start by using the following formula ƛ=c/v
ƛ=3.00 x 10*8/5.09 x 10*14

Answer 1

Yes, you are on the right track! To find the wavelength of light, you can use the formula ƛ = c / v, where ƛ is the wavelength, c is the speed of light (approximately 3.00 x 10^8 meters per second), and v is the frequency of the light.

Let's calculate the wavelength for each frequency given:

For the first frequency, v = 5.09 x 10^14 Hz
ƛ = c / v = (3.00 x 10^8 m/s) / (5.09 x 10^14 Hz)

For the second frequency, v = 5.08 x 10^14 Hz
ƛ = c / v = (3.00 x 10^8 m/s) / (5.08 x 10^14 Hz)

Now, let's convert the wavelength from meters to nanometers (nm). Since 1 nm = 10^-9 m, we can multiply the wavelength by 10^9 to get the value in nanometers.

So, the wavelengths of light for the given frequencies are:

For the first frequency:
ƛ = (3.00 x 10^8 m/s) / (5.09 x 10^14 Hz) * 10^9 nm

For the second frequency:
ƛ = (3.00 x 10^8 m/s) / (5.08 x 10^14 Hz) * 10^9 nm

Sodium vapor lamps are often used in residential street lighting. Sodium gives off two yellow lines of light having frequencies of 5.09 × 1014 Hz and 5.08 × 1014 Hz. What is this wavelengths of light in nm?

yes

Yes, you are on the right track! To find the wavelength of light, you can use the formula ƛ = c / v, where ƛ is the wavelength, c is the speed of light (approximately 3.00 x 10^8 meters per second), and v is the frequency of the light.