What is the wavelength of light in water if it has a frequency of 6.8 x 10^14 Hz? I don't know what formula to use and don't understand. I tried Lambda=c/v and got it wrong. Answer needs to be in nm. Thanks.
What are you using for c? The velocity of light in water is lower than in a vacuum, which you know I am sure from your experience trying to shoot fish with a bow and arrow. If you are using about 3*10^8 m/s, that is wrong.
http://www.google.com/search?q=velocity+of+light+in+water&ie=utf-8&oe=utf-8
Thanks for letting me know that 3*10^8 is wrong. That's why my answer is wrong. So, will continue searching for what to use for c. Don't understand. Thanks again.
The link tells you right off.
2.25*10^8
instead of 3*10^8
Thanks. The link was blocked by my computer.
To find the wavelength of light in water, you can use the formula λ = c / ν, where λ represents the wavelength, c is the speed of light in a vacuum (approximately 3 x 10^8 meters per second), and ν is the frequency of the light wave.
However, in this case, since the light is in water, we need to take into account the refractive index of water. The refractive index of water is approximately 1.33.
To find the wavelength of light in water, we can modify the formula as follows:
λ_water = λ_vacuum / refractive index
Now, let's calculate the wavelength of light in water using the given frequency.
Step 1: Convert the frequency to Hz.
The given frequency is 6.8 x 10^14 Hz, which is already in Hz.
Step 2: Calculate the wavelength in a vacuum.
Using the speed of light c = 3 x 10^8 m/s and the formula λ = c / ν:
λ_vacuum = c / ν
λ_vacuum = (3 x 10^8 m/s) / (6.8 x 10^14 Hz)
Step 3: Convert the wavelength from meters to nanometers.
Since the answer needs to be in nm, we need to multiply the wavelength in meters by 10^9.
λ_vacuum_nm = λ_vacuum * 10^9
Step 4: Calculate the wavelength in water.
Using the refractive index of water (n_water = 1.33) and the formula λ_water = λ_vacuum / refractive index:
λ_water_nm = λ_vacuum_nm / refractive index
λ_water_nm = λ_vacuum_nm / 1.33
Now, you can plug in the values and calculate the wavelength of light in water.