Red light with a wavelength of 7.0x10^-7 m travels at a speed of c. When it enters glass it's speed is reduced to 2.0x10^8 m/s. Calculate the wavelength of this redlight in glass. Assume that the frequency does not change.
I'm really confused and I'm not sure how to do this question. Thank you!
Ohh wait never mind.
Would it be
TIME = 7.0x10^-7 m / 2.0x10^8 m/s
=35s
And then you would plug it in as f=1/35s?
watch the units
wavelength(m) = speed(m/s) / frequency(1/s)
I don't understand. So is the 35s part not right?
Because then you could plug it into the f=1/t formula.
It should be 0.35 seconds, shouldn't it?
Oh wait I see, so then do you use the v=fx so solve for the frequency?
Like
2.0x10^8 m/s = 7.0x10^-7 m f
And then use that frequency to find the new wavelength?
To calculate the wavelength of the red light in glass, you can use the formula:
wavelength in medium = wavelength in vacuum / refractive index of the medium
From the information given, the initial wavelength of the red light in vacuum is 7.0x10^-7 m. The refractive index of glass can be determined using the speed of light in vacuum and the speed of light in the glass.
The speed of light in vacuum is always represented by the symbol c, which is approximately equal to 3.0x10^8 m/s.
Given:
Initial wavelength in vacuum (λ_vacuum) = 7.0x10^-7 m
Speed of light in vacuum (c) = 3.0x10^8 m/s
Speed of light in glass (v_glass) = 2.0x10^8 m/s
To obtain the refractive index of the glass (n_glass), we can use the following formula:
n_glass = c / v_glass
n_glass = (3.0x10^8 m/s) / (2.0x10^8 m/s) = 1.5
Now, we can calculate the wavelength of the red light in glass using the formula mentioned earlier:
wavelength in glass = wavelength in vacuum / refractive index of the medium
wavelength in glass = (7.0x10^-7 m) / 1.5
Calculating the numerical value:
wavelength in glass = 4.67x10^-7 m
Therefore, the wavelength of the red light in glass is approximately 4.67x10^-7 m.