Questions: The amount of energy needed to boost an electron to a higher orbital determines the of light that a pigment will absorb.

Transcript text: The amount of energy needed to boost an electron to a higher orbital determines the $\square$ of light that a pigment will absorb.

Solution

Solution Steps

Step 1: Identify the Concept

The question is asking about the relationship between the energy needed to boost an electron to a higher orbital and a property of light that a pigment will absorb.

Step 2: Understand the Relationship

In atomic and molecular physics, the energy required to move an electron to a higher orbital is directly related to the wavelength (or equivalently, the frequency) of light that is absorbed. This is because the energy of a photon of light is given by the equation: \[ E = h \nu \] where $ E $ is the energy, $ h $ is Planck's constant, and $ \nu $ is the frequency of the light. The frequency is inversely related to the wavelength ($ \lambda $) by the equation: \[ \nu = \frac{c}{\lambda} \] where $ c $ is the speed of light.

Step 3: Fill in the Blank

Given the relationship between energy and wavelength, the amount of energy needed to boost an electron to a higher orbital determines the wavelength of light that a pigment will absorb.

Final Answer

$\boxed{\text{wavelength}}$

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