  # 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:

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Updated on: September 25th, 2023 1. 2√2 : 1
2. 2:1
3. 4:1
4. 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 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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