A proton and an alpha particle are accelerated in a field of the same potential difference. Then, the ratio of the Broglie wavelengths associated with the moving material particles is:
By BYJU'S Exam Prep
Updated on: September 25th, 2023
- 2√2 : 1
- 2:1
- 4:1
- 1:2
The ratio of the Broglie wavelengths associated with the moving material particles is 2√2 : 1 if a proton and an alpha particle are accelerated in a field of the same potential difference.
Table of content
Answer: 2√2 : 1
De Broglie proposed that the wavelength λ associated with a particle of momentum p is given as λ = h/p where h is Planck’s constant. Here, de Broglie wavelength is defined as the wavelength λ of the matter wave.
De Broglie Hypothesis
Louis Victor de Broglie, a French Physicist, proposed the idea of the wave nature of matter.
- He proposed that just as light has both wave-like and particle-like properties, electrons also have wave-like properties.
- De Broglie referred to Einstein’s famous relativity equation.
- The relationship of wavelength λ and momentum p has since been shown to hold for all types of matter.
Summary:
What is the ratio of the Broglie wavelengths associated with the moving material particles if a proton and an alpha particle are accelerated in a field of the same potential difference?
In such a case, the ratio of the Broglie wavelengths associated with the moving material particles will be 2√2 : 1.
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