📚 Learning Guide
Historical Origins of Quantum Mechanics
easy

Imagine you're conducting an experiment to measure the energy of photons emitted from a heated metal surface. In this context, which principle explains why the energy of the emitted photons increases with temperature?

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Choose the Best Answer

A

The photoelectric effect shows that light can be absorbed and emitted by electrons, which gain energy from heat.

B

Black-body radiation indicates that all objects emit light based on their temperature.

C

The Bohr model suggests that electrons gain energy in discrete amounts, which isn't affected by temperature.

D

Classical mechanics predicts that increasing temperature causes all particles to emit energy uniformly.

Understanding the Answer

Let's break down why this is correct

Answer

The principle that explains this is Wien’s displacement law, which comes from Planck’s quantum theory of black‑body radiation. It states that the wavelength at which a heated object emits most strongly is inversely proportional to its temperature. Because the photon energy is inversely proportional to wavelength (E = hc/λ), a shorter peak wavelength means higher photon energy. For example, a metal heated from 500 K to 1000 K will shift its peak emission from about 5 µm to 2. 5 µm, doubling the photon energy from roughly 0.

Detailed Explanation

When a metal is hotter, its atoms vibrate faster. Other options are incorrect because The photoelectric effect happens when light knocks electrons out of metal, but it does not tell us how temperature changes the light’s energy; The Bohr model describes electrons in fixed shells, but those shells stay the same when the metal warms.

Key Concepts

Black-body radiation
Photoelectric effect
Bohr atom model
Topic

Historical Origins of Quantum Mechanics

Difficulty

easy level question

Cognitive Level

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