In the context of quantum mechanics, what does it mean when we say that energy is quantized?

• A. Energy can only take on specific, discrete values rather than any value within a range.
• B. Energy is always conserved in every physical process.
• C. Energy can be created or destroyed in quantum systems.
• D. Energy levels are continuous and can be any value.

Answer: (A)

Verified step by step guidance

1. Understand that in quantum mechanics, the term 'quantized energy' refers to the idea that a system's energy is restricted to certain allowed values rather than any arbitrary value.
2. Recognize that these allowed energy values are discrete, meaning they are separated by gaps and do not form a continuous spectrum.
3. Recall that this concept contrasts with classical physics, where energy can vary smoothly over a range of values.
4. Note that quantization arises from the wave-like nature of particles and boundary conditions in quantum systems, such as electrons in atoms having specific energy levels.
5. Therefore, when we say energy is quantized, we mean that energy can only take on specific, discrete values, not any value within a continuous range.