The wavelength of matter wave is independent of :

The correct answer is Option (2) → Charge

The de Broglie wavelength of a moving particle depends only on its momentum:

    \( \displaystyle \lambda = \frac{h}{p} = \frac{h}{m v} \)

Mass and velocity enter through the momentum \( p = mv \). The charge of the particle does not appear, so for a given momentum a charged and a neutral particle have the same wavelength.

Note: The same question was also asked in CUET (UG) 2023 on 07-06-2023 (Slot 3) and on 27-05-2023 (Slot 3).

NCERT (2026-27):
Wave Nature of Matter – “… De Broglie proposed that the wave length λ associated with a particle of momentum p is given as

    \( \displaystyle \lambda = \frac{h}{p} = \frac{h}{m v} \qquad (11.5) \)

where m is the mass of the particle and v its speed.”