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Dual Nature of ...

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  • Question 1
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    A proton and an electron are accelerated by the same potential difference. Let $$\lambda_{e}$$ and $$\lambda_{p}$$ denote the de Broglie wavelength of the electron and the proton respectively, then

  • Question 2
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    An electron of mass $$9.1\times 10^{-31}$$kg and charge $$1.6\times 10^{-19}$$C is accelerated through a potential difference of 'V' volt. The de Broglie wavelength $$(\lambda )$$ associated with the electron is

  • Question 3
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    The energy that should be added to an electron to reduce its de-Broglie wavelength from 1nm to 0.5nm is

  • Question 4
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    If an electron and a proton have the same kinetic energy, the ratio of the de Broglie wavelengths of proton and electron would approximately be :

  • Question 5
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    A particle having a de Broglie wavelength of 1.0 $$A^{0}$$ is associated with a momentum of (given $$h = 6.6 \times 10^{-34}$$ Js)

  • Question 6
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    The de Broglie wavelength of a molecule of thermal energy KT (K is Boltzmann constant and T is absolute temperature) is given by :

  • Question 7
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    The magnitude of the De-Broglie wavelength ($$\lambda$$) of an electron (e),proton(p),neutron (n) and $$\alpha $$ - particle ($$\alpha $$ ) all having the same energy of MeV, in the increasing order will follow the sequence:

  • Question 8
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    The de Broglie wavelength of an electron having 80 eV of energy is nearly 

    ($$1eV=1.6\times10^{-19}J$$ , Mass of electron $$=9\times 10^{-31}kg$$, 
    Planck’s constant $$=6.6\times 10^{-34}$$Js) (nearly)

  • Question 9
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    A particle of mass $$10^{-31}$$ kg is moving with a velocity equal to $$10^{5} ms^{-1}$$. The wavelength of the particle is equal to:

  • Question 10
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    The de-Broglie wavelength of a particle moving with a velocity $$2.25 \times 10^{8}\ m/s$$ is equal to the wavelength of photon. The ratio of kinetic energy of the particle to the energy of the photon is :

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