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
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.
To calculate the frequency of light with a wavelength of 533nm, we can use the following formula:
c = λ * f
Where:
c is the speed of light (approximately 299,792,458 m/s),
λ is the wavelength of light in meters,
f is the frequency of light in hertz (Hz).
First, we need to convert the wavelength from nanometers (nm) to meters (m). Since 1 nm = 1 × 10^-9 meters, we have:
λ = 533nm * (1 × 10^-9 m/nm)
λ = 5.33 × 10^-7 m
Next, we can rearrange the formula and solve for f:
f = c / λ
f = 299,792,458 m/s / 5.33 × 10^-7 m
f = 5.6329 × 10^14 Hz
To express the frequency in terahertz (THz), we can divide the value by 10^12:
f = 5.6329 × 10^14 Hz / 10^12
f = 563.29 THz
Therefore, the frequency of light with a wavelength of 533nm is approximately 563.29 THz.