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De-Broglie hypothesized that material particles have wave like properties. Figure shows a small particle in a box. The particle simply bounces back and forth at constant speed. As particles also have wave like properties it can be considered to be a wave reflecting back and forth from the ends of the box. The reflections will create a standing wave analogous to standing wave on a string tied at both ends. Since a standing wave confined to a region can have only selected wavelength, momentum of the particle is quantized. We can safely assume that such a particle only has kinetic energy. This energy must also be quantized. Mark the incorrect option.A. confined particle has only centain discrete values of energy.B. Particle in box behaves as stading wave.C. The particle cannot be at rest.D. Matter waves are electromagnetic in nature.

Answer» Correct Answer - D
`1/lambda=RZ^(2)(1/n^(2)-1/m^(2))`
for H visible is form `2rightarrow3,4,5,6`……….
here`z=2`
`Rightarrow 1/lambda=R(Z^(2)/n^(2)-Z^(2)/m^(2))=R(4/4^(2)-4/m^(2))4/m^(2)=1/6^(2)`
`m=6 to 4,7 to 4`,…….


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