Question 2 :
According to the Bhor Theory , which of the following transitions in the hydrogen atom will give rise to the least energetic photon ?
Question 4 :
According to Bohr's theory. energy is..................... when an electron moves from a lower to a higher orbit.
Question 6 :
The energy of hydrogen atom in $n^{th}$ orbits is $E_n$, then the energy in $n^{th}$ orbit of single ionised helium atom will be :
Question 7 :
According to drawback of Rutherford's structure of atom electron should fall in:
Question 8 :
In Bohr's series of lines of hydrogen spectrum, the third line of Balmer Series corresponds to which one of the following inter- orbit jumps of the electron.
Question 9 :
Humphry series is obtained when electron in $H$-atom jumps from a higher orbit to $n$ orbit. The value of $n$ is :<br/>
Question 10 :
Bohr's model violates the rules of classical physics because it assumes that:
Question 11 :
If the speed of electron in the Bohr's first orbit of hydrogen is $x$, the speed in the third orbit is:
Question 12 :
The energy of hydrogen atom in $n^{th}$ orbit is $E_n$ then the energy in $n^{th}$ orbit of singly ionised helium atom will be:
Question 13 :
Bohrs model of atom can explain the spectrum of all except:<br/>
Question 15 :
The spectral line obtained when an electron jumps from n = 6 to n = 2 level in hydrogen atom belongs to the:
Question 16 :
When an electron transitions from $n = 2$ to $n = 5$, will it be visible to the naked eye?
Question 17 :
When a electron in H-atom jumps from $n=4$ to $n=1$, ultraviolet light is emitted, if the transition corresponds to $n=4$ to $n = 2$, which of the following colours will be emitted?
Question 18 :
When an excited hydrogen atom returned to its ground state, some visible quanta were observed along with other quanta. Which of the following transitions must have occured?
Question 20 :
Which hydrogen-like ion has the wavelength difference between the first lines of Balmer and Lyman series equal to $59.3nm$? $(R_H=109678cm^{-1})$
Question 21 :
What is the angular velocity $(\omega)$ of an electron occupying second orbit of $Li^{2+}$ ion?
Question 22 :
In a certain electronic transition in the hydrogen atoms from an initial state $(1)$, to a fluid state $(2)$, the difference in that orbital radius $(r_1-r_2)$ is $24$ times the first Bohr radius. Identify the transition?
Question 23 :
The radiations from a naturally occurring radio element, as seen after deflection in a magnetic field in one direction, are:
Question 24 :
Which of the following electron transition in hydrogen atom will require the energy equivalent to its ionization energy ?
Question 25 :
The ratio of two Bohr's orbit ${n}_{1}$ and ${n}_{2}$ are in the ratio of $4 : 9$. If ${n}_{1} + {n}_{2} = 5$ and an electron make transition between these orbits then :
Question 26 :
In the decay sequence,<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/5e180d84272cc07f5a16ffad"><br>{tex} \mathrm { x } _ { 1 } , \mathrm { x } _ { 2 } , \mathrm { x } _ { 3 } {/tex} and {tex} \mathrm { x } _ { 4 } {/tex} are particles/radiation emitted by the respective isotopes. The correct option(s) is (are)
Question 27 :
The radius of the first Bohr orbit of hydrogen atom is $0.59\overset{o}{A}$. The radius of the third orbit of $He^+$ will be:
Question 28 :
Which hydrogen like species will have the same radius of 1st Bohr's orbit of a hydrogen atom?
Question 29 :
The energy of a hydrogen atom in the ground state is 13.6 eV. The energy of a He$^+$ ion in the first excited state will be:<br/>
Question 30 :
Number of possible spectral lines which may be emitted in bracket series in H atom, if electrons present in ${ 9 }^{ th }$ excited level returns to ground level is:<br/>
Question 31 :
The binding energy of $\displaystyle e^{-}$ in the ground state of the hydrogen atom is $13.6\ eV$. The energies required to eject out an electron from three lowest states of H$\displaystyle e^{+}$ atom will be (in eV):
Question 32 :
The ionization energy of hydrogen is $13.6eV$. The first ionization energy of $He$ is $24.6eV$. Calculate the energy given out when $He^{2+}$ nucleus combines with two electrons to form a helium atom in ground state.<br>
Question 33 :
In a hydrogen atom, an electron jumps from the second orbit to the first orbit. Find out<div>The wavelength of the radiation is :</div>
Question 35 :
The lines in hydrogen spectrum correspond to the energy levels. What do the fine lines in the spectrum correspond to ?<br>
Question 36 :
What are the values of $n_{1}$ and $n_{2}$ respectively for $H_{\beta}$ line in the Lyman series of hydrogen atomic spectrum?
Question 37 :
Calculate the wavelength of radiation emitted, producing a line in Lyman series, when an electron falls from the fourth stationary state in a hydrogen atom. $(R_H=1.1\times 10^7m^{-1})$
Question 38 :
The minimum and maximum values of wavelength in the Lyman series of a H atom are, respectively:
Question 39 :
From which of the following the hydration energy of $Mg^{2+}$ is larger
Question 40 :
Calculate the energy of radiation corresponding to spectrum line of lowest frequency in Lyman series in the spectra of of $Li^{2+}$.<br>
Question 42 :
The ratio of the frequency corresponding to the third line in Lyman series of hydrogen atomic spectrum to that of the first line in Balmer series of ${ Li }^{ 2+ }$ spectrum is:
Question 43 :
Among 4p, 4s, and 3d orbitals, 3d orbital has the least energy.
Question 45 :
When alpha particles are sent through a thin metal foil, most of them go straight through the foil because:
Question 46 :
The kinetic energy of an electron in the second Bohr's orbit of a hydrogen atom is:<br/>[$a_0$ is Bohr's radius]<br/>
Question 47 :
<i></i>In a certain electronic transition in Hydrogen atom from an initial state to a final state, the difference of orbit radius is $8$ times the first Bohr radius. Which transition will satisfy the given condition?
Question 49 :
Which one of the following sets of quantum numbers represents the highest energy level in an atom?<br/>
Question 50 :
Among the following, the orbital that has the lowest energy is________.
Question 51 :
A small particle of mass $m$ moves in such a way that $P.E=-\displaystyle \frac{1}{2}mkr^{2}$, where $k$ is a constant and $r$ is the distance of the particle from origin. Assuming Bohr's model of quantization of angular momentum and circular orbit, $r$ is directly proportional to:
Question 52 :
The number of revolutions/sec made by an electron in $II$ orbit is $8$ times of the number of revolution/sec made by electron in $n^{th}$ orbit. The value of $n$ is :<br/>
Question 53 :
The energy of the second Bohr orbit in the hydrogen atom is $-3.41\ eV$. The energy of the second Bohr orbits of $He^+$ ion would be:
Question 54 :
Consider a hypothetical hydrogen like atom. The wavelength in $A^o$ for the spectral lines for transition from $n=p$ to $n=1$ are given by:<br/>$\lambda =\displaystyle\frac{1500p^2}{p^2-1},$ where $p > 1$<br/>Find the ionization potential of this element?<br/>
Question 55 :
Consider the following statements.<br/>I) Bohr’s theory can also be used to explain the spectra of $He^{+}$ ion<br/>II) Energy of an electron in the first Bohr orbit of hydrogen atom is -13.6 eV<br/>III) Bohr’s theory is only applicable to hydrogen <span>atom and not to any other species<br/>IV) The energy of an electron in a hydrogen atom <b></b><span>is quantized<br/>The correct statements are:<br/></span></span>
Question 57 :
Arrange the following orbitals of $H-$atom in the increasing order of their energy. $3p_{x},2s,4d_{xy},3s, 4p_{z}, 3p_{y},4s$<br/>
Question 58 :
The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is: (${a}_{0}$ is Bohr radius)
Question 59 :
<p> <font face="Cambria Math, serif">The important principles that do not help in assigning electronic configuration to atoms are</font></p>
Question 60 :
The hydrogen-like species Li$^{2+}$ is in a spherically symmetric state S$_1$ with one radial node and its energy is equal to the ground state energy of the hydrogen atom.<div><br/></div><div>The energy of the state S$_2$ (next state) in units of the hydrogen atom ground state energy is:</div>
Question 61 :
The velocity of electron in the second Bohr orbit of H atom is:<br>
Question 62 :
The ratio of the radii of the first three Bohr orbits is:
Question 63 :
<p align="justify"> <font face="Cambria Math, serif">Which statement(s) concerning light is/are true?</font></p>
Question 64 :
<p> <font face="Cambria Math, serif">The wave nature of electron was verified by</font></p>
Question 65 :
The emission spectrum of hydrogen is found to satisfy the expression for the energy change $\triangle E$ (in joules) such that $\triangle E = 2.18\times 18^{-18}(\frac{1}{n_1^2}-\frac{1}{n_2^2})J$ where $n_1$= 1, 2, 3, .......and $n_2$ = 2, 3, 4. The spectral lines corresponds to Paschen series if :
Question 66 :
<p> <font face="Cambria Math, serif">Which of the following statement(s) is/are correct?</font></p>
Question 67 :
<p> <font face="Cambria Math, serif">Which of the following does not relate to photon both as wave motion and as stream of particles?</font></p>
Question 70 :
The longest wavelength of $\displaystyle He^{+}$ in Paschen series is "m", then shortest wavelength of $Be^{+3}$ in Paschen series is (in terms of m):
Question 71 :
<p> <font face="Cambria Math, serif">The radial part of wave function depends on the quantum numbers</font></p>
Question 72 :
<p align="justify"> <font face="Cambria Math, serif">If electrons fall from 4</font><sup><font face="Cambria Math, serif">th</font></sup><font face="Cambria Math, serif"> level to observant lower level finally attains 1</font><sup><font face="Cambria Math, serif">st</font></sup><font face="Cambria Math, serif"> level in </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/60009169c4cbb406e8804db7"/> <font face="Cambria Math, serif"> atom, then which is/are correct?</font></p>
Question 73 :
<p> <font face="Cambria Math, serif">Which of the following contain (s) material particles?</font></p>
Question 74 :
Number of possible spectral lines which may be emitted in Brackett series in $H$ atom, if electrons present in 9th excited level returns to ground level, are:
Question 76 :
<p align="justify"> <font face="Cambria Math, serif">Which of the following statement/s is/are correct?</font></p>
Question 77 :
<p> <font face="Cambria Math, serif">Which of the properties of radioisotopes make them useful as tracers in medical or agricultural applications?</font></p> <p> <font face="Cambria Math, serif">I. Their chemical behaviour is the same as non-radioactive isotope</font></p> <p> <font face="Cambria Math, serif">II. They emit various types of radiation</font></p> <p> <font face="Cambria Math, serif">III. The nuclear reaction is unaffected by the chemical state of the isotope</font></p>
Question 78 :
<p> <font face="Cambria Math, serif">Radioactivity is generally does not found in</font></p>
Question 79 :
<p> <font face="Cambria Math, serif">Any </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/60008aa8433d625579e95c34"/> <font face="Cambria Math, serif"> orbital can accomodate up to</font></p>
Question 80 :
<p> <font face="Cambria Math, serif">Atoms with the same atomic number and different mass numbers are called</font></p>
Question 81 :
<p> <font face="Cambria Math, serif">The first use of quantum theory to explain the structure of atom was made by</font></p>
Question 82 :
<p> <font face="Cambria Math, serif">The sum of the number of neutrons and protons in the isotope of hydrogen is</font></p>
Question 83 :
<p align="justify"> <font face="Cambria Math, serif">Which of the following statement/s is/are correct?</font></p>
Question 84 :
At which temperature will the translational kinetic energy of H-atom equal to that for H-atom of first line Lyman transition? (Given $N_{A}=6 \times 10^{23}$)
Question 85 :
The ratio of the difference in energy between the first and second Bohr orbit to that between the second and third Bohr orbit is:
Question 86 :
<p> <font face="Cambria Math, serif">In a nuclear reactor, oxides of which of the following metals are used as fuel material?</font></p>
Question 87 :
<p> <font face="Cambria Math, serif">Two radioactive substances </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/6000916b5441933baf263e16"/> <font face="Cambria Math, serif"> and </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/6000916bc4cbb406e8804dc5"/> <font face="Cambria Math, serif"> have disintegration constant in the ratio 2 : 1. If half-life of </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/6000916bc4cbb406e8804dc5"/> <font face="Cambria Math, serif"> is 4 days then after 12 days starting with equal mole fraction of each in mixture of </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/6000916b5441933baf263e16"/> <font face="Cambria Math, serif"> and </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/6000916bc4cbb406e8804dc5"/>
Question 88 :
<p align="justify"> <font face="Cambria Math, serif">The </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/60009163c4cbb406e8804d9a"/> <font face="Cambria Math, serif"> atomic model accurately predicts the spectrum of:</font></p>
Question 89 :
<p> <font face="Cambria Math, serif">Heisenberg uncertainty principle is not valid for</font></p>
Question 90 :
<p align="justify"> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/60009163c4cbb406e8804d9a"/> <font face="Cambria Math, serif">atomic model is based on the following postulates:</font></p>
Question 91 :
Number of waves made by the pion when orbiting in third excitation state are
Question 93 :
<p align="justify"> <font face="Cambria Math, serif">Which statement (s) about cathode rays is/are correct?</font></p>
Question 94 :
<p> <font face="Cambria Math, serif">When </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/60009160433d625579e96a74"/> <font face="Cambria Math, serif">-particles are sent through a thin metal foil, most of them go straight through the foil because,</font></p>
Question 95 :
<p> <font face="Cambria Math, serif">The amount of radiation that produces </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/60008b0a5441933baf26306a"/> <font face="Cambria Math, serif"> units of charge in </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/60008b8e5441933baf2631c6"/> <font face="Cambria Math, serif"> of air is</font></p>
Question 96 :
<p> <font face="Cambria Math, serif">Which is correct statement in case of Hund’s rule?</font></p>
Question 97 :
<p> <font face="Cambria Math, serif">Which of the following statements is/are correct?</font></p>
Question 98 :
Select the correct option.<br/>(a) Energy of ground state of $He^{+}$ (i) + 6.04 eV<br/>(b) Potential energy of I orbit of $H-$atom (ii) -27.2 eV<br/>(c) Kinetic energy of II excited state of $He^{+}$ (iii) +54.4 eV<br/>(d) Ionisation potential of $He^{+}$ (iv) -54.4 eV<br/>
Question 99 :
<p> <font face="Cambria Math, serif">Which experimental observation given in the first column correctly accounts for the phenomenon given in the second column?</font></p> <p> <font face="Cambria Math, serif"><b>Experimental observation Phenomenon</b></font></p>
Question 100 :
Radius of tenth Bohr orbit of the hydrogen atom is _______ $A^0$.
Question 101 :
<p> <font face="Cambria Math, serif">The probability of finding the electron in </font> <img style='object-fit:contain' align="absmiddle" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Advanced/600091885441933baf263e6c"/> <font face="Cambria Math, serif"> orbital is</font></p>
Question 102 :
Statement I : An electron in a $3s$ subshell may be excited to jump into the $3p$.<br/>Statement II : The Heisenberg uncertainty principle states that one cannot know what orbital an electron is in.
Question 103 :
<br>The wavelength of light emitted in the visible region by $\mathrm{H}\mathrm{e}^{+}$ ions after collisions with $\mathrm{H}$ atoms is:<br>
Question 104 :
<p> <font face="Cambria Math, serif">Which of the following statements is/are correct?</font></p>
Question 105 :
<p> <font face="Cambria Math, serif">The exchange of particles considered responsible for holding the nucleus together are called</font></p>
Question 106 :
<div><div>In a mixture of $H-He^{+}$ gas, H atom and $He^{+}$ ions are excited to their respective first excited states. Subsequently, H atoms transfer its excitation energy to $He^{+}$ ions by collision.</div></div>If each hydrogen atom in the ground state is excited by absorbing photons of energy 8.4 eV, 12.09 eV, of energy, then assuming the Bohr model of an atom is applicable the number of spectral lines emitted is equal to:
Question 107 :
<p> <font face="Cambria Math, serif">The magnetic quantum number of an atom is related to the </font>