calculate the wavelength (in nm) of the red light emitted by a neon sign with a frequency of 4.74 x 10^14 Hz. i have no idea how to even set this up. please someone help.
1E9 nm = 1 m
A common formula to change wavelength to frequency and frequency to wavelength uses the speed of light, c.
c = frequency x wavelength
c = 3E8 m/s
so would i set it up (3.00 x 10^8)/(4.74 x 10^-7) ?
Almost.The problem list frequency as 4.74E14 and not 4.74E-7.
3E8 = 4.74E14*wavelength.
w = 3E8/4.74E14 = ? in meters.
Convert to nm.
and what is the formula to convert to nm?
To calculate the wavelength of red light emitted by a neon sign, you can use the equation:
speed of light (c) = wavelength (λ) x frequency (ν)
The speed of light is a constant value, approximately 3.00 x 10^8 meters per second (m/s).
Step 1: Convert the given frequency from Hz to s^-1 (per second):
4.74 x 10^14 Hz = 4.74 x 10^14 s^-1
Step 2: Rearrange the equation to solve for wavelength (λ):
wavelength (λ) = speed of light (c) / frequency (ν)
Step 3: Plug the values into the equation:
λ = 3.00 x 10^8 m/s / (4.74 x 10^14 s^-1)
Step 4: Calculate the wavelength:
λ = 6.32 x 10^-7 meters
To convert the wavelength to nanometers (nm), multiply by 10^9:
λ (in nm) = 6.32 x 10^-7 meters x 10^9 nm/meter
The wavelength of the red light emitted by the neon sign is approximately 632 nm.