Wave Nature of Matter

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Wave Nature of Matter

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Wave Nature of Matter - Problem L1

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Important Questions

A proton and an alpha particle both are accelerated through the same potential difference. The ratio of corresponding de-Broglie wavelengths is :

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An electron (of mass m) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is (c = speed of light in vacuum)

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A proton and an alpha particle are accelerated through the same potential difference. The ratio of wavelengths associated with proton and alpha particle respectively is :

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The de Broglie wavelength associated with a ball of mass 200 g and moving at a speed of 5 meters / hour, is of the order of () is:

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Which of the following graphs correctly represents the variation of particle momentum with associated de Broglie wavelength?

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An electron, an alpha particle and a proton have the same kinetic energy. Which one of these particles has (i) the shortest and (ii) the largest, de Broglie wavelength?

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A particle of mass M at rest decays into two masses and with non-zero velocities. The ratio of de Broglie wavelengths of particles is

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Derive an expression for de Broglie wavelength of matter waves.

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The de Broglie wavelength of an electron moving with a velocity of is equal to that of a photon. Find the ratio of the kinetic energy of the photon to that of the electron.

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A proton, a neutron, an electron and an -particle have same energy. Then their de Broglie wavelengths compare as :

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