JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank

done Matter Waves Total Questions - 43

• question_answer1)
  The idea of matter waves was given by
  A)
             Davisson and Germer       done clear
  B)
             de-Broglie done clear
  C)
             Einstein                                   done clear
  D)
             Planck done clear
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• question_answer2)
  Wave is associated with matter
  A)
             When it is stationary done clear
  B)
             When it is in motion with the velocity of light only done clear
  C)
             When it is in motion with any velocity done clear
  D)
             None of the above done clear
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• question_answer3)
  The de-Broglie wavelength associated with the particle of mass m moving with velocity v is [CBSE PMT 1992]
  A)
             \[h/mv\]                                 done clear
  B)
             \[mv/h\] done clear
  C)
             \[mh/v\]                                 done clear
  D)
             \[4\times {{10}^{4}}\] done clear
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• question_answer4)
  A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy        [MP PMT 1992]
  A)
             Is the photon done clear
  B)
             Is the electron done clear
  C)
             Is the uranium nucleus done clear
  D)
             Depends upon the wavelength and the properties of the particle. done clear
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• question_answer5)
  A particle which has zero rest mass and non-zero energy and momentum must travel with a speed [MP PMT 1992; DPMT 2001; Kerala PMT 2004]
  A)
             Equal to c, the speed of light in vacuum done clear
  B)
             Greater than c done clear
  C)
             Less than c done clear
  D)
             Tending to infinity done clear
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• question_answer6)
  When the kinetic energy of an electron is increased, the wavelength of the associated wave will
  A)
             Increase done clear
  B)
             Decrease done clear
  C)
             Wavelength does not depend on the kinetic energy done clear
  D)
             None of the above done clear
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• question_answer7)
  If the de-Broglie wavelengths for a proton and for a \[\alpha -\]particle are equal, then the ratio of their velocities will be                                                                                       [NCERT 1972]
  A)
             4 : 1                                           done clear
  B)
             2 : 1 done clear
  C)
             1 : 2                                           done clear
  D)
             1 : 4 done clear
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• question_answer8)
  The de-Broglie wavelength \[\lambda \]associated with an electron having kinetic energy E is given by the expression [MP PMT 1990; CPMT 1996]
  A)
  \[\frac{h}{\sqrt{2mE}}\]              done clear
  B)
             \[\frac{2h}{mE}\] done clear
  C)
             \[2mhE\]                                done clear
  D)
             \[\frac{2\sqrt{2mE}}{h}\] done clear
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• question_answer9)
  Dual nature of radiation is shown by                  [MP PET 1991]
  A)
             Diffraction and reflection done clear
  B)
             Refraction and diffraction done clear
  C)
             Photoelectric effect alone done clear
  D)
             Photoelectric effect and diffraction done clear
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• question_answer10)
  For the Bohr's first orbit of circumference \[2\pi r\], the de-Broglie wavelength of revolving electron will be [MP PMT 1987]
  A)
             \[2\pi r\]                                 done clear
  B)
             \[\pi r\] done clear
  C)
             \[\frac{1}{2\pi r}\]              done clear
  D)
             \[\frac{1}{4\pi r}\] done clear
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• question_answer11)
  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 [CBSE PMT 1995; EAMCET 2001; J & K CET 2004]
  A)
             \[\lambda \frac{m}{M}\] done clear
  B)
             \[\lambda \sqrt{\frac{m}{M}}\] done clear
  C)
             \[\lambda \frac{M}{m}\] done clear
  D)
             \[\lambda \sqrt{\frac{M}{m}}\] done clear
  View Solution play_arrow

• question_answer12)
  What will be the ratio of de-Broglie wavelengths of proton and \[\alpha -\]particle of same energy [RPET 1991, 96; DCE 2002; Kerala PET 2005]
  A)
             2 : 1                                           done clear
  B)
             1 : 2 done clear
  C)
             4 : 1                                           done clear
  D)
             1 : 4 done clear
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• question_answer13)
  What is the de-Broglie wavelength of the \[\alpha -\]particle accelerated through a potential difference V           [RPMT 1996]
  A)
             \[\frac{0.287}{\sqrt{V}}\]Å     done clear
  B)
             \[\frac{12.27}{\sqrt{V}}\]Å done clear
  C)
             \[\frac{0.101}{\sqrt{V}}\]Å     done clear
  D)
             \[\frac{0.202}{\sqrt{V}}\]Å done clear
  View Solution play_arrow

• question_answer14)
  de-Broglie hypothesis treated electrons as [BHU 2000]
  A)
             Particles                                  done clear
  B)
             Waves done clear
  C)
             Both ?a? and ?b?                    done clear
  D)
             None of these done clear
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• question_answer15)
  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   [KCET (Engg./Med.) 2000]
  A)
             Four times the initial energy done clear
  B)
             Thrice the initial energy done clear
  C)
             Equal to the initial energy done clear
  D)
             Twice the initial energy done clear
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• question_answer16)
  The de-Broglie wavelength of an electron having \[80eV\] of energy is nearly (1eV = 1.6 ´ 10?19 J,  Mass of electron = 9 ´ 10?31kg Plank?s constant = 6.6 ´ 10?34 J-sec) [EAMCET (Engg.) 2001]
  A)
             140 Å                                        done clear
  B)
             0.14 Å done clear
  C)
             14 Å                                          done clear
  D)
             1.4 Å done clear
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• question_answer17)
  If particles are moving with same velocity, then maximum de-Broglie wavelength will be for [CBSE PMT 2002]
  A)
             Neutron                                  done clear
  B)
             Proton done clear
  C)
             b-particle                                done clear
  D)
             \[\alpha \]-particle done clear
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• question_answer18)
  If an electron and a photon propagate in the form of waves having the same wavelength, it implies that they have the same        [CBSE PMT 1995; DCE 2001; AIIMS 2003]
  A)
             Energy                                     done clear
  B)
             Momentum done clear
  C)
             Velocity                                   done clear
  D)
             Angular momentum done clear
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• question_answer19)
  The de-Broglie wavelength is proportional to     [RPET 2003]
  A)
             \[\lambda \propto \frac{1}{\nu }\]                                 done clear
  B)
             \[\lambda \propto \frac{1}{m}\] done clear
  C)
             \[\lambda \propto \frac{1}{p}\]                                       done clear
  D)
             \[\lambda \propto p\] done clear
  View Solution play_arrow

• question_answer20)
  Particle nature and wave nature of electromagnetic waves and electrons can be shown by                          [AIIMS 2000]
  A)
             Electron has small mass, deflected by the metal sheet done clear
  B)
             X-ray is diffracted, reflected by thick metal sheet done clear
  C)
             Light is refracted and defracted done clear
  D)
             Photoelectricity and electron microscopy done clear
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• question_answer21)
  The de-Broglie wavelength of a particle moving with a velocity 2.25 ´ 108 m/s is equal to the wavelength of photon. The ratio of kinetic energy of the particle to the energy of the photon is (velocity of light is 3 ´ 108 m/s) [EAMCET (Med.) 2003]
  A)
             1/8 done clear
  B)
             3/8 done clear
  C)
             5/8 done clear
  D)
             7/8 done clear
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• question_answer22)
  According to de-Broglie, the de-Broglie wavelength for electron in an orbit of hydrogen atom is 10?9 m. The principle quantum number for this electron is                    [RPMT 2003]
  A)
             1     done clear
  B)
             2 done clear
  C)
             3     done clear
  D)
             4 done clear
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• question_answer23)
  The speed of an electron having a wavelength of \[{{10}^{-10}}m\] is [Manipal 1997; AIIMS 2002]
  A)
             \[7.25\times {{10}^{6}}\]m/s done clear
  B)
             \[6.26\times {{10}^{6}}m/s\] done clear
  C)
             \[5.25\times {{10}^{6}}m/s\] done clear
  D)
             \[4.24\times {{10}^{6}}m/s\] done clear
  View Solution play_arrow

• question_answer24)
  The kinetic energy of electron and proton is \[{{10}^{-32}}J\]. Then the relation between their de-Broglie wavelengths is [CPMT 1999]
  A)
             \[{{\lambda }_{p}}<{{\lambda }_{e}}\]                          done clear
  B)
             \[{{\lambda }_{p}}>{{\lambda }_{e}}\] done clear
  C)
             \[{{\lambda }_{p}}={{\lambda }_{e}}\]                          done clear
  D)
             \[{{\lambda }_{p}}=2{{\lambda }_{e}}\] done clear
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• question_answer25)
  The de-Broglie wavelength of a particle accelerated with 150 volt potential is \[{{10}^{-10}}\]m. If it is accelerated by 600 volts p.d., its wavelength will be                                                                       [RPET 1988]
  A)
             0.25 Å                                       done clear
  B)
             0.5 Å done clear
  C)
             1.5 Å                                         done clear
  D)
             2 Å done clear
  View Solution play_arrow

• question_answer26)
  The de-Broglie wavelength associated with a hydrogen molecule moving with a thermal velocity of 3 km/s will be
  A)
             1 Å done clear
  B)
             0.66 Å done clear
  C)
             6.6 Å                                         done clear
  D)
             66 Å done clear
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• question_answer27)
  When the momentum of a proton is changed by an amount P0, the corresponding change in the de-Broglie wavelength is found to be 0.25%. Then, the original momentum of the proton was                                   [CPMT 2002]
  A)
             p0   done clear
  B)
             100 p0 done clear
  C)
             400 p0                                       done clear
  D)
             4 p0 done clear
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• question_answer28)
  The de-Broglie wavelength of a neutron at 27oC is l. What will be its wavelength at 927oC                             [DPMT 2002]
  A)
             l / 2                                          done clear
  B)
             l / 3 done clear
  C)
             l / 4                                          done clear
  D)
             l / 9 done clear
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• question_answer29)
  An electron and proton have the same de-Broglie wavelength. Then the kinetic energy of the electron is [Kerala PMT 2004]
  A)
             Zero done clear
  B)
             Infinity done clear
  C)
             Equal to the kinetic energy of the proton done clear
  D)
             Greater than the kinetic energy of the proton done clear
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• question_answer30)
  For moving ball of cricket, the correct statement about de-Broglie wavelength is                                               [RPMT 2001]
  A)
             It is not applicable for such big particle done clear
  B)
             \[\frac{h}{\sqrt{2mE}}\] done clear
  C)
             \[\sqrt{\frac{h}{2mE}}\] done clear
  D)
             \[\frac{h}{2mE}\] done clear
  View Solution play_arrow

• question_answer31)
  Photon and electron are given same energy \[({{10}^{-20}}J)\]. Wavelength associated with photon and electron are \[{{\lambda }_{Ph}}\] and \[{{\lambda }_{el}}\] then correct statement will be   [RPMT 2001]
  A)
             \[{{\lambda }_{Ph}}>{{\lambda }_{el}}\]                      done clear
  B)
             \[{{\lambda }_{Ph}}<{{\lambda }_{el}}\] done clear
  C)
             \[{{\lambda }_{Ph}}={{\lambda }_{el}}\]                      done clear
  D)
             \[\frac{{{\lambda }_{el}}}{{{\lambda }_{Ph}}}=C\] done clear
  View Solution play_arrow

• question_answer32)
  The kinetic energy of an electron with de-Broglie wavelength of 0.3 nanometer is                            [UPSEAT 2004]
  A)
             0.168 eV                                  done clear
  B)
             16.8 eV done clear
  C)
             1.68 eV                                    done clear
  D)
             2.5 eV done clear
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• question_answer33)
  A proton and an a-particle are accelerated through a potential difference of 100 V. The ratio of the wavelength associated with the proton to that associated with an a-particle is                                            [DCE 2002; DPMT 2003]
  A)
             \[\sqrt{2}:1\]                        done clear
  B)
             \[2:1\] done clear
  C)
             \[2\sqrt{2}:1\]                      done clear
  D)
             \[\frac{1}{2\sqrt{2}}:1\] done clear
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• question_answer34)
  The wavelength of de-Broglie wave is 2mm, then its momentum is (h = 6.63 ´ 10?34 J-s)    [DCE 2004]
  A)
             3.315 ´ 10?28 kg-m/s          done clear
  B)
             1.66 ´ 10?28 kg-m/s done clear
  C)
             4.97 ´ 10?28 kg-m/s             done clear
  D)
             9.9 ´ 10?28 kg-m/s done clear
  View Solution play_arrow

• question_answer35)
  de-Broglie wavelength of a body of mass 1 kg moving with velocity of 2000 m/s is                                             [Pb. PMT 2003]
  A)
             3.32 ´ 10?27 Å                        done clear
  B)
             1.5 ´ 107 Å done clear
  C)
             0.55 ´ 10?22 Å                        done clear
  D)
             None of these done clear
  View Solution play_arrow

• question_answer36)
  The kinetic energy of an electron is 5 eV. Calculate the de-Broglie wavelength associated with it (h = 6.6 ´ 10?34 Js, me = 9.1 ´ 10?31 kg)                                                          [Pb. PMT 2004]
  A)
             5.47 Å                                       done clear
  B)
             10.9 Å done clear
  C)
             2.7 Å                                         done clear
  D)
             None of these done clear
  View Solution play_arrow

• question_answer37)
  The wavelength associated with an electron accelerated through a potential difference of 100 V is nearly [RPMT 2003]
  A)
             100 Å                                        done clear
  B)
             123 Å done clear
  C)
             1.23 Å                                       done clear
  D)
             0.123 Å done clear
  View Solution play_arrow

• question_answer38)
  The de-Broglie wavelength l                                   [RPMT 2004]
  A)
             is proportional to mass done clear
  B)
             is proportional to impulse done clear
  C)
             Inversely proportional to impulse done clear
  D)
             does not depend on impulse done clear
  View Solution play_arrow

• question_answer39)
  Davission and Germer experiment proved  [RPET 2002; DCE 2004]
  A)
             Wave nature of light          done clear
  B)
             Particle nature of light done clear
  C)
             Both (a) and (b)                   done clear
  D)
             Neither (a) nor (b) done clear
  View Solution play_arrow

• question_answer40)
  If the kinetic energy of a free electron doubles, its de-Broglie wavelength changes by the factor     [AIEEE 2005]
  A)
             \[\frac{1}{\sqrt{2}}\]         done clear
  B)
             \[\sqrt{2}\] done clear
  C)
             \[\frac{1}{2}\]                       done clear
  D)
             2 done clear
  View Solution play_arrow

• question_answer41)
  The energy that should be added to an electron to reduce its de Broglie wavelength from one nm to 0.5 nm is [KCET 2005]
  A)
             Four times the initial energy  done clear
  B)
             Equal to the initial energy done clear
  C)
             Twice the initial energy            done clear
  D)
             Thrice the initial energy done clear
  View Solution play_arrow

• question_answer42)
  de-Broglie wavelength of a body of mass m and kinetic energy E is given by                                         [BCECE 2005]
  A)
             \[\lambda =\frac{h}{mE}\]     done clear
  B)
             \[\lambda =\frac{\sqrt{2mE}}{h}\] done clear
  C)
             \[\lambda =\frac{h}{2mE}\]   done clear
  D)
             \[\lambda =\frac{h}{\sqrt{2mE}}\] done clear
  View Solution play_arrow

• question_answer43)
  The wavelength of the matter wave is independent of   [Kerala PMT 2005]
  A)
             Mass                                        done clear
  B)
             Velocity done clear
  C)
             Momentum                          done clear
  D)
             Charge done clear
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