Dual Nature Of Matter

Concept: Physics (Dual Nature of Radiation and Matter) - de-Broglie Wavelength.

Step 1: State the de-Broglie wavelength formula. The de-Broglie wavelength ( ) of a particle is given by the ratio of Planck's constant ( ) to its momentum ( ): $ p E m h m $

Concept: The de Broglie wavelength of a particle is given by When a charged particle is accelerated through a potential , Thus, where = mass of the particle = charge of the particle.

Step 1: Write the relation for the ratio of wavelengths.

Step 2: Substitute particle properties. For proton: For alpha particle:

Step 3: Simplify. Thus approximately,

Step 4: Final ratio.