NEET Physics Practice Test – Comprehensive Prep & Study Guide

The formula λ = h / √(2e m V) describes the De Broglie wavelength of an electron when it is accelerated through a potential difference V. This relationship emerges from the wave-particle duality principle, which suggests that particles, like electrons, exhibit both wave-like and particle-like properties.

In this context:

- **λ (lambda)** represents the wavelength associated with the electron.

- **h** is Planck's constant, a fundamental number in quantum mechanics.

- **e** signifies the charge of the electron.

- **m** is the mass of the electron.

- **V** denotes the accelerating potential, which provides energy to the electron as it moves through the electric field.

As the electron is accelerated by a potential V, it gains kinetic energy expressed in terms of eV (the product of charge and potential). The kinetic energy can also be represented as (1/2)mv²; thus, when you equate the expressions for kinetic energy with the wave nature of particles, it leads directly to the derivation of the De Broglie wavelength.

This connection illustrates how an electron's behavior can be described in terms of wavelength, showing the duality of its nature as both a particle and a wave