Modern physics
⏱ ~3-min readAceMark GuideWhat this topic is really about
According to the de Broglie hypothesis, the wavelength associated with a moving particle is inversely proportional to its momentum, yielding the formula lambda equals h divided by mv. Option B is incorrect because it places momentum in the numerator, which violates the inverse relationship between mass, velocity, and wavelength.
The photoelectric effect demonstrates that light consists of packets of energy called photons, thereby proving the particle nature of light. Option A is incorrect because the wave nature of matter (or electrons) is demonstrated by experiments like the Davisson-Germer electron diffraction experiment, not the photoelectric effect.
See the mechanism
According to the de Broglie hypothesis, the wavelength associated with a moving particle is inversely proportional to its momentum, yielding the formula lambda equals h divided by mv. A diagram for this topic isn't available yet — the worked example below walks the same reasoning step by step.
An exam-style question, fully explained
De Broglie wavelength of a particle is:
- Identify what the question tests: De Broglie wavelength of a particle is:.
- According to the de Broglie hypothesis, the wavelength associated with a moving particle is inversely proportional to its momentum, yielding the formula lambda equals h divided by mv.
- Option B is incorrect because it places momentum in the numerator, which violates the inverse relationship between mass, velocity, and wavelength.
Traps the examiner sets
- Option B is incorrect because it places momentum in the numerator, which violates the inverse relationship between mass, velocity, and wavelength.
- Option A is incorrect because the wave nature of matter (or electrons) is demonstrated by experiments like the Davisson-Germer electron diffraction experiment, not the photoelectric effect.
- Option B is incorrect because 1/4 remains after only two half-lives (10 years).
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