Questions in Dual Nature of Radiation and Matter

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Dual nature of radiation is shown by
For the Bohr's first orbit of circumference $2\pi r$, the de-Broglie wavelength of revolving electron will be
An electron of mass m when accelerated through a potential difference V has de-Broglie wavelength $\lambda $. The de-Broglie wavelength associated with a proton of mass M accelerated through the same potential difference will be
What will be the ratio of de-Broglie wavelengths of proton and $\alpha - $particle of same energy
What is the de-Broglie wavelength of the $\alpha - $particle accelerated through a potential difference V
de-Broglie hypothesis treated electrons as
The energy that should be added to an electron, to reduce its de-Broglie wavelengths from ${10^{ - 10}}$m to $0.5 \times {10^{ - 10}}$m, will be
The de-Broglie wavelength of an electron having $80eV$ of energy is nearly ($1eV = 1.6 \times 10^{–19}$ J, Mass of electron = $9 \times 10^{–31}$ kg Plank’s constant = $6.6 \times 10^{–34}$ J-sec)
If particles are moving with same velocity, then maximum de-Broglie wavelength will be for
If an electron and a photon propagate in the form of waves having the same wavelength, it implies that they have the same

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