Question

Humans have three types of cone cells in their eyes, which are responsible for color vision. Each type absorbs a certain part of the visible spectrum. Suppose a particular cone cell absorbs light with a wavelength of 434.nm. Calculate the frequency of this light. Round your answer to 3 significant digits.

Answer 1

Answer:

6.91 × 10¹⁴ s⁻¹

Explanation:

Step 1: Given data

Wavelength of the radiation absorbed by the cone (λ): 434 nm

Step 2: Convert the wavelength to meters

We will use the relationship 1 m = 10⁹ nm.

$434nm \times \frac{1m}{10^{9}nm } =4.34 \times 10^{-7} m$

Step 3: Calculate the frequency (ν) of the radiation

We will use the following expression.

$c = \lambda \times \nu$

where,

c is the speed of light (3.00 × 10⁸ m/s)

$c = \lambda \times \nu\\\nu = \frac{c}{\lambda} = \frac{3.00 \times 10^{8}m/s }{4.34 \times 10^{-7}m }= 6.91 \times 10^{14} s^{-1}$