Calculating Frequency of Blue Light: Speed of Light & Wavelength Formula

[3instein]

Homework Statement

The speed of light is 3 x $$10^8$$ m/s. Blue light has a wavelength of about 450nm (nm = 10^-9 m). Calculate the frequency of this light

Homework Equations

v=f$$\lambda$$

The Attempt at a Solution

3 x $$10^8$$ = f x 450
f = $$\frac{3 times 10^8}{450}$$

 

[Chi Meson]

nearly there. Convert that wavelength to meters.

 

[Moetasim]

= 6.67 x 10^14 Hz

I would like to confirm that the equation used to calculate the frequency of light, v=fλ, is correct. The speed of light, c, is a constant value and is equal to 3 x 10^8 m/s. This value is used to convert the wavelength, λ, from nanometers to meters. In this case, the wavelength of blue light is 450 nm, which is equivalent to 450 x 10^-9 m. Plugging in these values into the equation, we get:

v = (3 x 10^8 m/s) / (450 x 10^-9 m)
= 6.67 x 10^14 Hz

Therefore, the frequency of blue light is 6.67 x 10^14 Hz. This calculation is important because it helps us understand the behavior and properties of light. Frequency is a measure of how many waves pass a certain point in a given time, and it is directly proportional to the energy of the light. In this case, blue light has a higher frequency compared to other visible light colors, indicating that it has a higher energy. This information can be useful in various scientific fields, such as optics, astronomy, and chemistry.