If a particle is dropped from a height X. The de-Broglie wavelength of the particle as a function of height is proportional to:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \( X^{-1/2} \)
The de Broglie wavelength is \( \lambda = h/mv \). A particle dropped from rest through a height X reaches the speed given by \( v^{2} = 2gX \).
\( \displaystyle \lambda = \frac{h}{m\sqrt{2gX}} \)
For a given particle \( h, m \) and \( g \) are constants, so \( \lambda\propto X^{-1/2} \).
Note: A similar question was also asked in CUET (UG) 2026 on 22-05-2026 (Slot 1), and in CUET (UG) 2023 on 05-06-2023 (Slot 3).