JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank

done Uncertainty principle and Schrodinger wave equation Total Questions - 20

• question_answer1)
  The uncertainty principle was enunciated by [NCERT 1975; Bihar MEE 1997]
  A)
                  Einstein                done clear
  B)
                  Heisenberg done clear
  C)
                  Rutherford         done clear
  D)
                  Pauli done clear
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• question_answer2)
  According to heisenberg uncertainty principle [AMU 1990; BCECE 2005]
  A)
                  \[E=m{{c}^{2}}\]               done clear
  B)
                  \[\Delta x\times \Delta p\ge \frac{h}{4\pi }\] done clear
  C)
                  \[\lambda =\frac{h}{p}\]              done clear
  D)
                  \[\Delta x\times \Delta p=\frac{h}{6\pi }\] done clear
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• question_answer3)
   ?The position and velocity of a small particle like electron cannot be simultaneously determined.? This statement is        [NCERT 1979; BHU 1981, 87]
  A)
                  Heisenberg uncertainty principle done clear
  B)
                  Principle of de Broglie's wave nature of electron done clear
  C)
                  Pauli's exclusion principle done clear
  D)
                  Aufbau's principle done clear
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• question_answer4)
  In Heisenberg's uncertainty equation \[\Delta x\times \Delta p\ge \frac{h}{4\pi }\]; \[\Delta p\] stands for
  A)
                  Uncertainty in energy done clear
  B)
                  Uncertainty in velocity done clear
  C)
                  Uncertainty in momentum done clear
  D)
                  Uncertainty in mass done clear
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• question_answer5)
  Which one is not the correct relation in the following
  A)
                  \[h=\frac{E}{v}\]              done clear
  B)
                  \[E=m{{c}^{2}}\] done clear
  C)
                  \[\Delta x\times \Delta p=\frac{h}{4\pi }\]           done clear
  D)
                  \[\lambda =\frac{h}{mv}\] done clear
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• question_answer6)
  The maximum probability of finding an electron in the \[{{d}_{xy}}\] orbital is                                     [MP PET 1996]
  A)
                  Along the x-axis done clear
  B)
                  Along the y-axis done clear
  C)
                  At an angle of \[{{45}^{o}}\] from the \[x\] and y-axes done clear
  D)
                  At an angle of \[{{90}^{o}}\] from the \[x\] and y-axes done clear
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• question_answer7)
  Simultaneous determination of exact position and momentum of an electron is                [BHU 1979]
  A)
                  Possible done clear
  B)
                  Impossible done clear
  C)
                  Sometimes possible sometimes impossible done clear
  D)
                  None of the above done clear
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• question_answer8)
  If uncertainty in the position of an electron is zero, the uncertainty in its momentum would be  [CPMT 1988]
  A)
                  Zero       done clear
  B)
                  \[<\frac{h}{2\lambda }\] done clear
  C)
                  \[>\frac{h}{2\lambda }\] done clear
  D)
                  Infinite done clear
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• question_answer9)
  The possibility of finding an electron in an orbital was conceived by                                          [MP PMT 1994]
  A)
                  Rutherford         done clear
  B)
                  Bohr done clear
  C)
                  Heisenberg         done clear
  D)
                  Schrodinger done clear
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• question_answer10)
  Uncertainty principle gave the concept of
  A)
                  Probability done clear
  B)
                  An orbital done clear
  C)
                  Physical meaning of \[\Psi \] the \[{{\Psi }^{2}}\] done clear
  D)
                  All the above done clear
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• question_answer11)
  The uncertainty principle and the concept of wave nature of matter was proposed by ...... and ...... respectively [MP PET 1997]
  A)
                  Heisenberg, de Broglie  done clear
  B)
                  de-Broglie, Heisenberg done clear
  C)
                  Heisenberg, Planck         done clear
  D)
                  Planck, Heisenberg done clear
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• question_answer12)
  The uncertainty in momentum of an electron is \[1\times {{10}^{-5}}kg-m/s\]. The uncertainty in its position will be (\[h=6.62\times {{10}^{-34}}kg-{{m}^{2}}/s\]) [AFMC 1998; CBSE PMT 1999; JIPMER 2002]
  A)
                  \[1.05\times {{10}^{-28}}m\]      done clear
  B)
                  \[1.05\times {{10}^{-26}}m\] done clear
  C)
                  \[5.27\times {{10}^{-30}}m\]      done clear
  D)
                  \[5.25\times {{10}^{-28}}m\]  done clear
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• question_answer13)
  The uncertainty in the position of a moving bullet of mass 10 gm is \[{{10}^{-5}}m\]. Calculate the uncertainty in its velocity [DCE 1999]
  A)
                  \[5.2\times {{10}^{-28}}m/sec\]                done clear
  B)
                  \[3.0\times {{10}^{-28}}m/sec\] done clear
  C)
                  \[5.2\times {{10}^{-22}}m/sec\]                done clear
  D)
                  \[3\times {{10}^{-22}}m/sec\] done clear
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• question_answer14)
  The equation \[\Delta x.\Delta p\ge \frac{h}{4\pi }\] shows         [MP PET 2000]
  A)
                  de-Broglie relation          done clear
  B)
                  Heisenberg?s uncertainty principle done clear
  C)
                  Aufbau principle done clear
  D)
                  Hund?s rule done clear
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• question_answer15)
  Which quantum number is not related with Schrodinger equation                                            [RPMT 2002]
  A)
                  Principal               done clear
  B)
                  Azimuthal done clear
  C)
                  Magnetic             done clear
  D)
                  Spin done clear
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• question_answer16)
  Uncertainty in position of a 0.25 g particle is \[{{10}^{-5}}\]. Uncertainty of velocity is \[(h=6.6\times {{10}^{-34}}\,Js)\] [AIEEE 2002]
  A)
                  \[1.2\times {{10}^{34}}\]              done clear
  B)
                  \[2.1\times {{10}^{-29}}\] done clear
  C)
                  \[1.6\times {{10}^{-20}}\]             done clear
  D)
                  \[1.7\times {{10}^{-9}}\] done clear
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• question_answer17)
  The uncertainty in momentum of an electron is \[1\times {{10}^{-5}}kg\,m/s\]. The uncertainity in its position will be \[(h=6.63\times {{10}^{-34}}Js)\]              [Pb. CET 2000]
  A)
                  \[5.28\times {{10}^{-30}}m\]      done clear
  B)
                  \[5.25\times {{10}^{-28}}m\] done clear
  C)
                  \[1.05\times {{10}^{-26}}m\]      done clear
  D)
                  \[2.715\times {{10}^{-30}}m\] done clear
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• question_answer18)
  According to Heisenberg?s uncertainty principle, the product of uncertainties in position and velocities for an electron of mass \[9.1\times {{10}^{-31}}kg\] is                                         [BHU  2004]
  A)
                  \[2.8\times {{10}^{-3}}{{m}^{2}}{{s}^{-1}}\]         done clear
  B)
                  \[3.8\times {{10}^{-5}}{{m}^{2}}{{s}^{-1}}\] done clear
  C)
                  \[5.8\times {{10}^{-5}}{{m}^{2}}{{s}^{-1}}\]         done clear
  D)
                  \[6.8\times {{10}^{-6}}{{m}^{2}}{{s}^{-1}}\] done clear
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• question_answer19)
  For an electron if the uncertainty in velocity is \[\Delta \nu \], the uncertainty in its position \[(\Delta x)\] is given by       [DPMT 2005]
  A)
                  \[\frac{hm}{4\pi \Delta \nu }\]   done clear
  B)
                  \[\frac{4\pi }{hm\Delta \nu }\] done clear
  C)
                  \[\frac{h}{4\pi m\Delta \nu }\] done clear
  D)
                  \[\frac{4\pi \ m}{h\ .\ \Delta \nu }\] done clear
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• question_answer20)
  Orbital is                                              [DPMT 2005]
  A)
                  Circular path around the nucleus in which the electron revolves done clear
  B)
                  Space around the nucleus where the probability of finding the electron is maximum done clear
  C)
                  Amplitude of electrons wave done clear
  D)
                  None of these done clear
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