The equation we need to use to solve this is: c=λν
c is the speed of light (2.998 x 10^8 m/s)
λ is the wavelength, which we're gonna solve for
ν is the frequency ( 2.4 x 10^14 Hz )
First, plug in the values we were given into the equation
2.998 x 10^8 m/s= (λ)(2.4 x 10^14 Hz)
Next, divide both sides of the equation by 2.4 x 10^14 Hz to solve for the wavelength (λ)
λ= 1.249166667 x 10^-6 m
Round to 2 significant figures
λ= 1.2 x 10^-6 m
Science textbooks tend to focus on three states of matter rather than four because they have been present extensively in nature, and are responsible for the majority of actions.
The matter is anything that has mass and occupies space. The matter can be present in 3 states, namely:
The solid-state of matter has been the one responsible for the tight bond between the atoms. The solid-state of matter has been found to have a tough structure.
The liquid-state of matter has been the one having the one that has loosely bonded atoms, as compared to the solid atom. The liquid state has fixed volume but can acquire the shape of any utensils in which it has been placed.
The gases are very loosely bonded atoms. The air has been the best example of the gaseous state of matter.
These three states have been present extensively in nature, and are responsible for the majority of actions. Thus, they have been focused on in the science textbooks.
However, the fourth state of matter has been plasma, It has been the ionized gas state existing between the solid and gas. The state has not been existing much in nature, thus has not been focused on.
For more information about the states of matter, refer to the link: