Question

Green plants absorb sunlight to power photosynthesis, the chemical synthesis of food from water and carbon dioxide. The compound responsible for light absorption and the color of plants, chlorophyll, strongly absorbs light with a wavelength of 430 nm. Calculate the frequency of this light. Round your answer to 3 significant digits.

Answer 1

Answer: The frequency of this light is $6.74\times 10^{17}Hz$.

Explanation:-

To calculate the frequency of light, we use the equation:

$\lambda=\frac{c}{\nu}$

where,

$\lambda$ = wavelength of the light  =$430nm=430\times 10^{-9}m$      $1nm=10^{-9}m$

c = speed of light = $2.9\times 10^8m/s$

$\nu$ = frequency of light = ?

$\nu=\frac{c}{\lambda}$

$\nu=\frac{2.9\times 10^8m/s}{430\times 10^{-9}m}$

$\nu=\frac{2.9\times 10^8m/s}{430\times 10^{-9}m}=6.74\times 10^{17}s^{-1}=6.74\times 10^{17}Hz$

The frequency of this light is $6.74\times 10^{17}Hz$.