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A proton moving with a momentum has a kinetic energy of its rest mass energy. Another light photon having energy equal to the kinetic energy of the proton possesses a momentum Then the ratio is equal to
(a)
(b)
(c)
(d)

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Important Questions on Dual Nature of Matter and Radiation
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The following graph represents the variation of photo current with anode potential for a metal surface. Here and represents intensities and represents frequency for curves and respectively, then

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Light of certain frequency and intensity incident on a photosensitive material causes photoelectric effect. If both the frequency and intensity are doubled, the photoelectric saturation current becomes

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The work function of a metal is . Light of wavelength is incident on this metal surface. The velocity of emitted photoelectrons will be

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According to Einstein's photoelectric equation, the graph between kinetic energy of photoelectrons ejected and the frequency of incident radiation is

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The de-Broglie wavelength associated with electron of hydrogen atom in the ground state is

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An electron is moving with an initial velocity and is in a uniform magnetic field . Then its de Broglie wavelength

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A proton and an particle are accelerated through the same potential difference . The ratio of their respective de-Broglie's wavelengths is

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The figure shows standing de Broglie waves due to the revolution of electron in a certain orbit of hydrogen atom. Then the expression for the orbit radius is (all notations have their usual meanings)
