Question

# The dual nature of wave states that all matter has properties of:

A
both a particle and a wave.
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B
neither a particle nor a wave.
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C
just a particle and not a wave.
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D
just a wave and not a particle.
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E
either a particle or a wave.
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Solution

## The correct option is A both a particle and a wave.From the experiments of Photoelectric effect and Young's Double Slit Experiment(YDSE), dual nature of wave was established.Remember: de Broglie's wavelength equation λ=hp where h is Planck's constant and p is the momentum.We can infer from this equation thatas p increases λ decreases ⟶ property of particlesas p decreases λ increases ⟶ property of wavesWe can also deduce that as mass of particles increases so does its momentum ⇒λ decreasesand as mass of particles decreases so does its momentum ⇒λ increasesHence all matter has properties of both waves and particles.

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