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Which of the following have quantized values? # Choose one or more: The pitch of a note played on a slide trombone because the pitch varies based on the position of the slide. The energy needed to excited an electron from a lower energy orbital to the next energy level. The pitch of a note played on a flute because the pitch is dependent on the number of holes that are open or closed. The wind speed on the top of Mt. Everest because the wind varies continuously.
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Step 1:
Let's solve this step by step:

Step 2:
: Understanding Quantization

Quantization means that a physical quantity can only take on specific, discrete values rather than varying continuously. In other words, the quantity is restricted to specific, distinct levels.

Step 3:
: Analyzing the Pitch of a Slide Trombone

- On a slide trombone, the pitch can vary continuously as the slide moves. - There are no distinct, fixed energy levels. - Therefore, the pitch of a slide trombone is NOT quantized.

Step 4:
: Analyzing Electron Energy Levels

- Electrons in atoms can only exist at specific energy levels. - When an electron moves between energy levels, it must jump to a precise, predetermined energy state. - The energy required to move between these levels is a fixed, discrete amount. - This means electron energy levels ARE quantized.

Step 5:
: Analyzing the Pitch of a Flute

- A flute's pitch depends on the number of open or closed holes. - The pitch changes in discrete steps as holes are opened or closed. - These discrete changes represent quantized pitch levels. - Therefore, the pitch of a flute IS quantized.

Step 6:
: Analyzing Wind Speed on Mt.

Everest - Wind speed is a continuous variable. - It can take on any value within a range. - There are no discrete, fixed levels of wind speed. - Therefore, wind speed is NOT quantized.

Final Answer

The quantized values are: - The energy needed to excite an electron from a lower energy orbital to the next energy level - The pitch of a note played on a flute