Self Studies

Dual Nature of ...

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  • Question 1
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    A ray of energy 14.2 Me V is emitted from a $$^{60}Co$$ nucleus. The recoil energy of the co-nucleus is nearly 

  • Question 2
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    A  proton and an electron are accelerated by the same potential difference. Let $$\displaystyle \lambda _{c}$$ and $$\displaystyle \lambda _{p}$$ denote the de Broglie wavelengths of the electron and the proton respectively.

  • Question 3
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    The work functions for three different metals $$A$$, $$B$$ and $$C$$ are $$\varphi_{A}$$ >$$\varphi_{B}$$>$$\varphi_{C}$$. The graphs between stopping potential $$(V_{0})$$ and frequency of v of incident radiation for them would look like 

  • Question 4
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    The wave nature of particles was studied using diffraction of particle beams by crystal lattices. The wavelength of the waves associated with fast moving particles was found to be in agreement with the de Broglie relation.
    For a particle of mass $$m$$ moving with kinetic energy $$E$$, the de Broglie wavelength is

  • Question 5
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    In an experiment on the photoelectric effect, an evacuated photocell with a pure metal cathode is used. Which graph best represent the variation of V, the minimum potential difference needed to prevent current from flowing, when x, the frequency of the incident light, is varied?

  • Question 6
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    De Broglie wavelength of neutrons in thermal equilibrium is (given $$m_n=1.6\times 10^{-27} kg)$$

  • Question 7
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    Which of the following graphs correctly represents the variation of particle momentum with associated de Broglie wavelength?

  • Question 8
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    An $$\alpha-particle$$ and a proton are fired through the same magnetic field which is perpendicular to their velocity vectors. The $$\alpha-particle$$ and the proton move such that radius of curvature of their paths is same. Find the ratio of their de Broglie wavelengths :

  • Question 9
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    A homogeneous ball $$(mass=m)$$ of ideal black material at rest is illuminated with a radiation having a set of photons $$(wavelength=\lambda)$$, each with the same momentum and the same energy. The rate at which photons fall on the ball is n. The linear acceleration of the ball is:

  • Question 10
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    In a photoelectric emission, electrons are ejected from metals X and Y by light of frequency f. The potential difference V required to stop the electrons is measured for various frequencies. If y has a greater work function than X, which graph illustrates the expected results?

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