Question

Humans have three types of cone cells in their eyes which are responsible for color vision each type absorbs a certain part of visible spectrum suppose a particular cone cell absorbs light with a wavelength of 533nm calculate the frequency of this light
Be sure your answer has the correct number of significant digits in THz

Answer 1

To calculate the frequency of light with a wavelength of 533nm, we can use the equation:

\[ c = \lambda \nu \]

where:
- \( c \) is the speed of light in a vacuum (which is approximately \( 3.0 \times 10^8 \, \text{m/s} \))
- \( \lambda \) is the wavelength of light in meters
- \( \nu \) is the frequency of light in Hz

First, we need to convert the wavelength from nm to meters:
\[ 533 \, \text{nm} = 533 \times 10^{-9} \, \text{m} \]

Now we can rearrange the equation to solve for frequency (in Hz):
\[ \nu = \frac{c}{\lambda} \]

Plugging in the values:
\[ \nu = \frac{3.0 \times 10^8 \, \text{m/s}}{533 \times 10^{-9} \, \text{m}} \]

Simplifying:
\[ \nu \approx 5.63 \times 10^{14} \, \text{Hz} \]

To convert from Hz to THz, we divide by \(10^{12}\):
\[ \nu \approx 0.563 \, \text{THz} \]

Therefore, the frequency of light with a wavelength of 533nm is approximately 0.563 THz.