Self Studies

Dual Nature of ...

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  • Question 1
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    After absorbing a slowly moving neutron of mass $$m_N$$ (momentum $$\sim 0$$) a nucleus of mass $$M$$ breaks into two nuclei of mass $$m_1$$ and $$3m_1(4m_1 = M + m_N)$$ respectively. If the de Broglie wavelength of the nucleus with mass $$m_1$$ is $$\lambda$$, then de Broglie wavelength of the other nucleus will be.

  • Question 2
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    Wavelength of the de- Broglie wave of an electron revolving in the fourth orbit of the hydrogen atom is ($$r_0$$ is the Bohr's radius) 

  • Question 3
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    The velocity of an electron in the ground state of hydrogen atom is $$2.2 \times 10^6m/s$$. The De-Broglie wavelength associated with a muon in the ground state of a muonic hydrogen will be:- $$(m\mu = 207m_e)$$

  • Question 4
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    Assume that each atom ofcopper contiributes one free electron .The dentsity of copper is 9 g $$cm^{ -3 }$$ and atomic weight of copper is 63. If the current flowing through a copper wire of 1 mm diameter is 1.1 amperes , the drift velocity of electrons will be :- 

  • Question 5
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    A particle $$A$$ of mass $$m$$ and initial velocity $$v$$ collides with a particle $$B$$ of mass $$\dfrac {m}{2}$$ which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelength $$\lambda_{A}$$ to $$\lambda_{B}$$ after the collision is

  • Question 6
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    When a potential drop of $$V$$ volt is applied on a stationary neutron, then de broglie wavelength:-

  • Question 7
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    The energy of a $$k$$ electron in tungsten is -20 KeV and that of an $$l$$ Electron is -2 KeV. Find the wavelength of X rays emitted when there is electron jump from L to K shell.

  • Question 8
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    When a $$\alpha$$-particle enters in an electric field then its debroglie wavelength:-

  • Question 9
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    The wavelength of very fast moving electron $$\left( {v \approx c} \right)$$ is $$:$$

  • Question 10
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    If the X-ray tube is working at 25 kV then the minimum wavelength of X-ray will be :-

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