Wavelength of matter wave is independent of:

The correct answer is Option (2) → charge

The de Broglie relation gives the wavelength of a moving particle in terms of its momentum:

    \( \displaystyle \lambda = \frac{h}{p} = \frac{h}{mv} \)

The wavelength depends on the momentum, that is on the mass and the velocity. The charge of the particle does not appear in the relation.

Note: The same question was also asked in CUET (UG) 2023 on 27-05-2023 (Slot 3) and on 26-05-2023 (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

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

where m is the mass of the particle and v its speed. Equation (11.5) is known as the de Broglie relation and the wavelength λ of the matter wave is called de Broglie wavelength.”