Question

1. as the wavelength decreases, the frequency ______________. (increases or decreases)
2. wavelength and energy are ______________ related. (direct or inverse)
3. using roygbiv, which color has the shortest wavelength? ______________
4. using roygbiv, which color has the highest energy? ______________
5. all emr waves travel at the same ______________.
6. by looking at the waves to the right, answer the following questions

a. wave a or b has a longer wavelength?
b. wave a or b has a lower frequency?
c. wave a or b has the highest energy.

1. true or false: energy is required for an electron to move from ground to excited state
2. true or false: energy in the form of light is released when moving from the excited state to the ground state.

Explanation:

Step1: Recall wave - frequency relation

The relationship between wavelength ($\lambda$) and frequency ($
u$) is given by $c = \lambda
u$, where $c$ is the speed of light. Since $c$ is constant, when $\lambda$ decreases, $
u$ must increase.

Step2: Recall wavelength - energy relation

The energy of a photon is given by $E=h
u=\frac{hc}{\lambda}$, where $h$ is Planck's constant. So wavelength and energy are inversely related.

Step3: Recall ROYGBIV wavelength order

In the visible - light spectrum (ROYGBIV: red, orange, yellow, green, blue, indigo, violet), violet has the shortest wavelength.

Step4: Recall ROYGBIV energy order

Since energy is inversely related to wavelength, and violet has the shortest wavelength in ROYGBIV, violet has the highest energy.

Step5: Recall EMR speed

All electromagnetic radiation (EMR) waves travel at the speed of light in a vacuum.

Step6: Analyze wave A and B

a. By looking at the waves, wave B has a longer distance between consecutive crests or troughs, so wave B has a longer wavelength.
b. Since frequency is inversely related to wavelength, and wave B has a longer wavelength, wave B has a lower frequency.
c. Since energy is inversely related to wavelength, and wave A has a shorter wavelength, wave A has the highest energy.

Step7: Recall electron - energy states

Energy is required to move an electron from the ground state to an excited state, so it is true.

Step8: Recall electron - energy states transition

When an electron moves from an excited state to the ground state, energy in the form of light (a photon) is released, so it is true.

Answer:

1. increases
2. Inverse
3. Violet
4. Violet
5. speed (speed of light in a vacuum)

25.
a. Wave B
b. Wave B
c. Wave A

1. True
2. True