Home Physics Electron, Photon, Photoelectric Effect and X-rays Matter Waves The wavelength of the matter wave is indepen…
Physics Electron, Photon, Photoelectric Effect and X-rays Matter Waves Single Correct MCQ
Published on: September 12, 2026

The wavelength of the matter wave is independent of

A
Mass
B
Velocity
C
Momentum
D
Charge

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Text Solution

Verified by Experts
The correct answer is:
D
Step 1: Understand the de Broglie wavelength. The wavelength of a matter wave, given by the de Broglie relation, is defined as:
$$ \lambda = \frac{h}{p} $$
where
- $\lambda$ is the wavelength,
- $h$ is Planck's constant,
- $p$ is the momentum of the particle.

Step 2: Analyzing the parameters:
- From the equation, we see that the wavelength ($\lambda$) is inversely proportional to the momentum ($p$). This means that if mass or velocity changes, the momentum will change, affecting the wavelength.
- Mass affects the momentum, as $p = mv$.
- Velocity directly influences momentum, meaning changes in velocity lead to changes in the wavelength.
- However, charge does not appear in the de Broglie relation at all.

Conclusion: Therefore, the wavelength of the matter wave is independent of charge. Hence, the correct answer is D.

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