Solved papers for JEE Main & Advanced Physics Atomic Physics JEE PYQ-Atomic Physics

done JEE PYQ-Atomic Physics Total Questions - 47

  • question_answer1) If \[13.6\] eV energy is required to ionise the hydrogen atom, then the energy required to remove an electron from \[n=2\], is [AIEEE 2002]

    A)
    \[10.2\] eV

    B)
    0 eV

    C)
    \[3.4\] eV

    D)
    \[6.8\] eV

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  • question_answer2) The wavelengths involved in the spectrum of deuterium \[\left( _{1}^{2}D \right)\] are slightly different from that of hydrogen spectrum, because                                                              [AIEEE 2003]

    A)
    sizes of the two nuclei are different

    B)
    nuclear forces are different in the two cases

    C)
    masses of the two nuclei are different

    D)
    attraction between the electron and the nucleus is different in the two cases

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  • question_answer3) If the binding energy of the electron in a hydrogen atom is \[13.6\] eV, the energy required to remove the electron from the first excited state of \[L{{i}^{2+}}\] is                     [AIEEE 2003]

    A)
    \[30.6\] eV

    B)
    \[13.6\] eV

    C)
    \[3.4\] eV

    D)
    \[122.4\] eV

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  • question_answer4) An\[\alpha -\]particle of energy\[5\text{ }MeV\]is scattered through\[180{}^\circ \,\]by a fixed uranium nucleus. The distance of the closest approach is of the order of                         [AIEEE 2004]

    A)
    \[1{\AA}\]

    B)
    \[{{10}^{-10}}cm\]

    C)
    \[{{10}^{-12}}cm\]

    D)
    \[{{10}^{-15}}cm\]

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  • question_answer5) 
    The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the most energy?                [AIEEE 2005]

    A)
    III

    B)
    IV

    C)
    I

    D)
    II

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  • question_answer6) An alpha nucleus of energy \[\frac{1}{2}m{{v}^{2}}\]bombards a heavy nuclear target of charge\[Ze\]. Then, the distance of closest approach for the alpha nucleus will be proportional to [AIEEE 2006]

    A)
    \[{{v}^{2}}\]

    B)
    \[1/m\]

    C)
    \[1/{{v}^{4}}\]

    D)
    \[1/Ze\]

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  • question_answer7) Which of the following transitions in hydrogen atoms emit photons of highest frequency? [AIEEE 2007]

    A)
    n = 2 to n = 6

    B)
    n = 6 to n = 2

    C)
    n =2 to n = 1

    D)
    n = 1 to n = 2

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  • question_answer8) Suppose an electron is attracted towards the origin by a force \[\frac{k}{r}\] where ‘k’ is a constant and ‘r’ is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the \[{{n}^{th}}\] orbital of the electron is found to be \['{{r}_{n}}'\] and the kinetic energy of the electron to be \['{{T}_{n}}'\]. Then which of the following is true?                 [AIEEE 2008]

    A)
    \[{{T}_{n}}\propto \frac{1}{n},\,{{r}_{n}}\propto n\]

    B)
         \[{{T}_{n}}\propto \frac{1}{n},\,{{r}_{n}}\propto {{n}^{2}}\]

    C)
    \[{{T}_{n}}\propto \frac{1}{{{n}^{2}}},\,{{r}_{n}}\propto {{n}^{2}}\]       

    D)
    \[{{T}_{n}}\] independent of \[n,\,{{r}_{n}}\propto n\]

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  • question_answer9) The transition from the state\[n=4\]to\[n=3\]in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from:                     [AIEEE 2009]

    A)
    \[2\to 1\]

    B)
    \[3\to 2\]

    C)
    \[4\to 2\]

    D)
    \[5\to 4\]

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  • question_answer10) Energy required for the electron excitation in\[L{{i}^{++}}\] from the first to the third Bohr orbit is [AIEEE 2011]

    A)
                \[122.4\] eV

    B)
    \[12.1\] eV

    C)
                \[36.3\] eV

    D)
    \[108.8\] eV

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  • question_answer11) Hydrogen atom is excited from ground state to another state with principal quantum number equal to 4. Then the number of spectral lines in the emission spectra will be:          [AIEEE 2012]

    A)
    2

    B)
    3

    C)
    5

    D)
    6

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  • question_answer12) An object 2.4 m in front of a lens forms a sharp image on a film 12 cm behind the lens. A glass plate 1 cm thick, of refractive index 1.50 is interposed between lens and film with its plane faces parallel to film. At what distance (from lens) should object shifted to be in sharp focus on film?           [AIEEE 2012]

    A)
    7.2 m

    B)
    2.4 m

    C)
                3.2 m

    D)
    5.6 m

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  • question_answer13) The electron of a hydrogen atom makes a transition from the \[{{(n+1)}^{th}}\]orbit to the \[{{n}^{th}}\] orbit. For large n the wavelength of the emitted radiation is proportional to [JEE ONLINE 07-05-2012]

    A)
    n

    B)
    \[{{n}^{3}}\]

    C)
    \[{{n}^{4}}\]

    D)
    \[{{n}^{2}}\]

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  • question_answer14) 
    In the Rutherford experiment, a-particles are scattered from a nucleus as shown. Out of the four paths, which path is not possible?                                     [JEE ONLINE 07-05-2012]

    A)
    D

    B)
    B

    C)
    C

    D)
    A

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  • question_answer15) A hypothetical atom has only three energy levels. The ground level has energy, \[{{E}_{1}}=-8eV.\] The two excited states have energies, \[{{E}_{2}}=-6eV\] and \[{{E}_{3}}=-2eV.\] Then which of the following wavelengths will not be present in the emission spectrum of this atom?                               [JEE ONLINE 12-05-2012]

    A)
    207 nm

    B)
    465 nm

    C)
    310 nm

    D)
    620 nm

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  • question_answer16) A doubly ionised Li atom is excited from its ground state (n=1) to n=3 state. The wavelengths of the spectral lines are given by \[{{\lambda }_{32}},{{\lambda }_{31}}\]and\[{{\lambda }_{21}}.\]The ratio \[{{\lambda }_{32}}/{{\lambda }_{31}}\]and\[{{\lambda }_{21}}/{{\lambda }_{31}}\]are, respectively        [JEE ONLINE 12-05-2012]

    A)
    8.1, 0.67

    B)
    8.1, 1.2

    C)
    6.4, 1.2

    D)
    6.4, 0.67

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  • question_answer17) Ionization energy of Li (Lithium) atom in ground state is 5.4 eV. Binding energy of an electron in \[L{{i}^{+}}\]ion in ground state is 75.6 eV. Energy required to remove all three electrons of Lithium (Li) atom is                                              [JEE ONLINE 19-05-2012]                    

    A)
    81.0 eV

    B)
    135.4eV

    C)
    203.4eV

    D)
    156.6eV

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  • question_answer18) 
    Which of the plots shown in the figure represents speed (v) of the electron in a hydrogen atom as a function of the principal quantum number (n)? [JEE ONLINE 26-05-2012]

    A)
    B

    B)
    D

    C)
    C

    D)
    A

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  • question_answer19) In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number \[(n-1).\]If \[n>>1,\]the frequency of radiation emitted is proportional to:     [JEE MAIN 2013]

    A)
    \[\frac{1}{n}\]

    B)
    \[\frac{1}{{{n}^{2}}}\]

    C)
    \[\frac{1}{{{n}^{3/2}}}\]

    D)
    \[\frac{1}{{{n}^{3}}}\]

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  • question_answer20) From the following, the quantity (constructed from the basic constants of nature), that has the dimensions, as well as correct order of magnitude, vis-a-vis typical atomic size, is: [JEE ONLINE 09-04-2013]

    A)
    \[\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}\,m{{c}^{2}}}\]

    B)
    \[\frac{4\pi {{\varepsilon }_{0}}\,{{b}^{2}}}{m{{e}^{2}}}\]

    C)
                \[\frac{m{{c}^{2}}}{4\pi {{\varepsilon }_{0}}\,{{b}^{2}}}\]

    D)
    \[\frac{4\pi {{\varepsilon }_{0}}\,m{{c}^{2}}}{{{e}^{2}}}\]

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  • question_answer21) In the Bohr model an electron moves in a circular orbit around the proton. Considering the orbiting electron to be a circular current loop, the magnetic moment of the hydrogen atom, when the electron is in \[{{\operatorname{n}}^{\operatorname{th}}}\] exited state, is:              [JEE ONLINE 09-04-2013]

    A)
    \[\left( \frac{e}{2m} \right)\frac{{{\operatorname{n}}^{2}}h}{2\pi }\]

    B)
    \[\left( \frac{e}{m} \right)\frac{\operatorname{n}h}{2\pi }\]

    C)
                \[\left( \frac{e}{2m} \right)\frac{\operatorname{n}h}{2\pi }\]

    D)
    \[\left( \frac{e}{m} \right)\frac{{{\operatorname{n}}^{2}}h}{2\pi }\]  

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  • question_answer22) In the Bohr’s model of hydrogen- like atom the force between the nucleus and the electron is modified as \[\operatorname{F}=\frac{{{e}^{2}}}{4\pi {{\in }_{0}}}\left( \frac{1}{{{\operatorname{r}}^{2}}}+\frac{\beta }{{{\operatorname{r}}^{3}}} \right),\] Where \[\beta \]is a constant. For this atom, the radius of the \[{{\operatorname{n}}^{\operatorname{th}}}\] orbit in terms of the Bohr radius \[\left( {{a}_{0}}\frac{{{\in }_{0}}{{\operatorname{h}}^{2}}}{\operatorname{m}\pi {{e}^{2}}} \right)\] is   [JEE ONLINE 23-04-2013]

    A)
    \[{{\operatorname{r}}_{\operatorname{n}}}={{\operatorname{a}}_{0}}\operatorname{n}-\beta \]

    B)
    \[{{\operatorname{r}}_{\operatorname{n}}}={{\operatorname{a}}_{0}}{{\operatorname{n}}^{2}}+\beta \]

    C)
           \[{{\operatorname{r}}_{\operatorname{n}}}={{\operatorname{a}}_{0}}{{\operatorname{n}}^{2}}-\beta \]

    D)
    \[{{\operatorname{r}}_{\operatorname{n}}}={{\operatorname{a}}_{0}}\operatorname{n}+\beta \]

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  • question_answer23) A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. It will emit:              [JEE ONLINE 25-04-2013]

    A)
    2 lines in the Lyman series and I line in the Balmar series

    B)
                3 lines in the Lyman series

    C)
                1 line in the Lyman series and 2 lines in the balmar series

    D)
                3 lines in the balmer series

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  • question_answer24) Hydrogen \[{{(}_{1}}{{H}^{1}}),\]Deuterium\[{{(}_{1}}{{H}^{2}}),\] singly ionised Helium \[{{{{(}_{2}}H{{e}^{4}})}^{+}}\]and doubly ionised lithium \[{{{{(}_{3}}L{{i}^{6}})}^{++}}\]all have one electron around the nucleus. Consider an electron transition from n = 2 to n = l. If the wave lengths of emitted radiation are \[{{\lambda }_{1}},{{\lambda }_{2}},{{\lambda }_{3}}\]and \[{{\lambda }_{4}}\]respectively then approximately which one of the following is correct?         [JEE MAIN 2014]

    A)
    \[{{\lambda }_{1}}={{\lambda }_{2}}=4{{\lambda }_{3}}=9{{\lambda }_{4}}\]

    B)
    \[{{\lambda }_{1}}=2{{\lambda }_{2}}=3{{\lambda }_{3}}=4{{\lambda }_{4}}\]

    C)
    \[4{{\lambda }_{1}}=2{{\lambda }_{2}}=2{{\lambda }_{3}}={{\lambda }_{4}}\]

    D)
    \[{{\lambda }_{1}}=2{{\lambda }_{2}}=2{{\lambda }_{3}}={{\lambda }_{4}}\]

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  • question_answer25) The binding energy of the electron in a hydrogen atom is13.6 eV, the energy required to remove the electron from the first excited state of \[\text{L}{{\text{i}}^{\text{++}}}\] is:              [JEE ONLINE 09-04-2014]

    A)
    122.4 eV

    B)
    30.6 eV

    C)
    13.6 eV

    D)
    3.4 eV

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  • question_answer26) As an electron makes a transition from an excited state to the ground state of a hydrogen - like atom / ion:     [JEE MAIN 2015]

    A)
    kinetic energy decrease, potential energy increase but total energy remains same

    B)
    kinetic energy and total energy decrease but potential energy increases

    C)
    its kinetic energy increases but potential energy and total energy decrease

    D)
    kinetic energy, potential energy and total energy decrease

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  • question_answer27) The de - Broglie wavelength associated with the electron in the n = 4 level is :[JEE MAIN 11-04-2015]

    A)
    two times the de-Broglie wavelength of the electron in the ground state

    B)
    four times the de-Broglie wavelength of the electron in the ground state

    C)
    half of the de-Broglie wavelength of the electron in the ground state

    D)
    1/4th of the de-Broglie wavelength of the electron in the ground state 

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  • question_answer28) A hydrogen atom makes a transition from n = 2 to n=1 and emits a photon. This photon strikes a doubly ionized lithium atom (z = 3) in excited state and completely removes the orbiting electron. The least quantum number for the excited stated of the ion for the process is: [JEE ONLINE 09-04-2016]

    A)
    4

    B)
    5

    C)
    2

    D)
    3

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  • question_answer29) A neutron moving with a speed 'v' makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy of the neutron for which inelastic collision will take place is:                                                   [JEE ONLINE 10-04-2016]

    A)
    10.2 eV

    B)
    12.1 eV

    C)
    20.4 eV

    D)
    16.8 eV

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  • question_answer30) 
    Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths \[r={{\lambda }_{1}}/{{\lambda }_{2}},\]is given by:                   [JEE Main 2017]

    A)
    \[r=\frac{3}{4}\]

    B)
    \[r=\frac{1}{3}\]

    C)
    \[r=\frac{4}{3}\]

    D)
    \[r=\frac{2}{3}\]

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  • question_answer31) According to Bohr's theory, the time averaged magnetic field at the centre (i.e. nucleus) of a hydrogen atom due to the motion of electrons in the \[{{\text{n}}^{\text{th}}}\] orbit is proportional to : (n = principal quantum number)                     [JEE Online 08-04-2017]

    A)
    \[{{\text{n}}^{-3}}\]

    B)
    \[{{\text{n}}^{-2}}\]

    C)
    \[{{\text{n}}^{-4}}\]

    D)
    \[{{\text{n}}^{-5}}\]

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  • question_answer32) The acceleration of an electron in the first orbit of the hydrogen atom (n = 1) is – [JEE Online 09-04-2017]

    A)
    \[\frac{{{h}^{2}}}{4\pi {{m}^{2}}{{r}^{3}}}\]

    B)
    \[\frac{{{h}^{2}}}{{{\pi }^{2}}{{m}^{2}}{{r}^{3}}}\]

    C)
    \[\frac{{{h}^{2}}}{8{{\pi }^{2}}{{m}^{2}}{{r}^{3}}}\]

    D)
    \[\frac{{{h}^{2}}}{4{{\pi }^{2}}{{m}^{2}}{{r}^{3}}}\]

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  • question_answer33) If the series limit frequency of the Lyman series is\[{{\text{v}}_{L}},\]  then the series limit frequency of the Pfund series is: [JEE Main Online 08-04-2018]

    A)
    \[{{v}_{L}}/16\]

    B)
    \[{{v}_{L}}/25\]

    C)
    \[25\,\,{{v}_{L}}\]     

    D)
    \[16\,\,{{v}_{L}}\]

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  • question_answer34) The energy required to remove the electron from a singly ionized Helium atom is 2.2 times the energy required to remove an electron from Helium atom. The total energy required to ionize the Helium atom completely is [JEE Online 15-04-2018]

    A)
    \[20eV\]

    B)
    \[79eV\]

    C)
    \[109eV\]

    D)
    \[34eV\]

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  • question_answer35) 
    Muon \[\left( {{\mu }^{-1}} \right)\] is negatively charged \[(|q|=|e|)\]with a mass \[{{m}_{\mu }}=200{{m}_{e}},\] where \[{{m}_{e}}\] is the mass of the electron and \[e\] is the electronic charge. If \[{{\mu }^{-1}}\] is bound to a proton to form a hydrogen like atom, identify the correct statements             [JEE Online 15-04-2018 (II)]
    [A] Radius of the muonic orbit is times smaller than that of the electron
    [B] the speed of the \[{{\mu }^{-1}}\] in the nth orbit is\[\frac{1}{200}\] times that of the electron in the nth orbit
    [C] The ionization energy of muonic atom is 200 times more than that of an hydrogen atom
    [D] The momentum of the muon in the nth orbit is 200 times more than that of the electron

    A)
    , ,

    B)
    ,

    C)
    ,

    D)
    , ,

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  • question_answer36) A hydrogen atom, initially in the ground state, is excited by absorbing a photon of wavelength. The radius of the atom in the excited state, in terms of Bohr radius will be [JEE Main 11-Jan-2019 Morning]

    A)

    B)
     

    C)
     

    D)

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  • question_answer37) In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation is. If an electron jumps from N-shell to the L-shell, the wavelength of emitted radiation will be- [JEE Main 11-Jan-2019 Evening]

    A)

    B)

    C)
       

    D)

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  • question_answer38) Taking the wavelength of first Balmer line in hydrogen spectrum (n = 3 to n = 2) as 660 nm, the wavelength of the 2nd Balmer line (n = 4 to n = 2) will be: [JEE Main 9-4-2019 Morning]

    A)
    889.2 nm

    B)
    642.7 nm

    C)
    488.9 nm

    D)
    388.9 nm

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  • question_answer39) Two cars A and B are moving away from each other in opposite directions. Both the cars are moving with a speed of  with respect to the ground. If an observer in car A detects a frequency 2000 Hz of the sound coming from car B, what is the natural frequency of the sound source in car B? (speed of sound in air ) :- [JEE Main 9-4-2019 Afternoon]

    A)
    2250 Hz

    B)
    2060 Hz

    C)
    2150 Hz

    D)
    2300 Hz

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  • question_answer40) A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let and  be their respective radii, then,    [JEE Main 10-4-2019 Morning]

    A)

    B)

    C)

    D)

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  • question_answer41) In electron in first Bohr orbit is excited to a level by a radiation of wavelength when the ion gets excited to the ground state in all possible ways (including intermediate emissions), a total of six spectral lines are observed. What is the value of ? (Given : ) [JEE Main 10-4-2019 Afternoon]

    A)
    9.4 nm

    B)
    12.3 nm

    C)
    10.8 nm

    D)
    11.4 nm

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  • question_answer42) An excited He+ ion emits two photons in succession, with wavelengths 108.5 nm and 30.4 nm, in making a transition to ground state. The quantum number n, corresponding to its initial excited state is (for photon of wavelength energy   [JEE Main Held on 12-4-2019 Morning]

    A)
    n = 5

    B)
    n = 4

    C)
    n = 6

    D)
    n = 7

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  • question_answer43) The time period of revolution of electron in its ground state orbit in a hydrogen atom is\[1.6\times {{10}^{16}}s\]. The frequency of revolution of the electron in its first excited state (in\[{{s}^{1}}\]) is: [JEE MAIN Held on 07-01-2020 Morning]

    A)
    \[1.6\times {{10}^{14}}\]

    B)
    \[7.8\times {{10}^{14}}\]

    C)
    \[5.6\times {{10}^{12}}\]

    D)
    \[6.2\times {{10}^{15}}\]

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  • question_answer44) An electron (of mass m) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is (c = speed of light in vacuum) [JEE MAIN Held on 07-01-2020 Evening]

    A)
    \[\frac{1}{c}{{\left( \frac{E}{2m} \right)}^{\frac{1}{2}}}\]

    B)
    \[{{\left( \frac{E}{2m} \right)}^{\frac{1}{2}}}\]

    C)
    \[c\,{{(2mE)}^{\frac{1}{2}}}\]

    D)
    \[\frac{1}{c}{{\left( \frac{2E}{m} \right)}^{\frac{1}{2}}}\]

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  • question_answer45) The graph which depicts the results of Rutherford gold foil experiment with \[\alpha \]-particle is \[\theta \] : Scattering angle Y: Number of scattered \[\alpha \]-particles detected (Plots are schematic and not to scale) [JEE MAIN Held On 08-01-2020 Morning]

    A)

    B)

    C)

    D)

    View Answer play_arrow
  • question_answer46) The first member of the Balmer series of hydrogen atom has a wavelength of 6561\[\overset{\text{o}}{\mathop{\text{A}}}\,\]. The wavelength of the second member of the Balmer series (in nm) is _______. [JEE MAIN Held on 08-01-2020 Evening]

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  • question_answer47) The energy required to ionise a hydrogen like ion in its ground state is 9 Rydbergs. What is the Wavelength of the radiation emitted when the electron in this ion jumps from the second excited state to the ground state? [JEE MAIN Held on 09-01-2020 Evening]

    A)
    \[11.4\text{ }nm\]

    B)
    \[24.2\text{ }nm\]

    C)
    \[35.8\text{ }nm\]

    D)
    \[8.6\text{ }nm\]

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JEE PYQ-Atomic Physics
 

   


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