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dual nature of particle-numerical

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Radiation has dual nature, i.e., it possesess the properties of both, wave and particle. This prompted de-Broglie to prodict dual nature of moving material particles. Thus waves are associated with moving material particles which are called matter waves. The wavelength of matter waves is given by lambda=h/(mv) , where m is the mass, v is the speed of the particle and h is Planck's constant. Read the above paragraph and answer the following question: (i) How was the wave nature of electron established? (ii) What are the de-Broglie wavelength associated with a particle (i) at rest (ii) moving with infinite speed? (iii) What are the basic values displayed by this study?

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