Q. In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainity with which the position of the electron can be located is ($\mathrm{Ch}=6.6 \times 10^{-34} \mathrm{kg} \mathrm{m}^{2} \mathrm{s}^{-1}$, mass of electron,
$\mathrm{e}_{\mathrm{m}}=9.1 \times 10^{-31} \mathrm{kg}$):-
(1) $1.92 \times 10^{-3} \mathrm{m}$
(2) $3.84 \times 10^{-3} \mathrm{m}$
(3) $1.52 \times 10^{-4} \mathrm{m}$
(4) $5.10 \times 10^{-3} \mathrm{m}$
[AIEEE-2009]
Q. Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times 10^{3} \mathrm{ms}^{-1}$ (Mass of proton = $1.67 \times 10^{-27} \mathrm{kg}$ and $\mathrm{h}=6.63 \times 10^{-34} \mathrm{Js}$) :-
(1) 2.5 nm (2) 14.0 nm (3) 0.032 nm (4) 0.40 nm
[AIEEE-2009]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (4) $\mathrm{m}_{\mathrm{p}}=1.67 \times 10^{-27}$ $\mathrm{h}=6.63 \times 10^{-34}$ $\mathrm{v}=10^{3}$ $\lambda=\frac{\mathrm{h}}{\mathrm{mv}}=\frac{6.63 \times 10^{-34}}{1.67 \times 10^{-27} \times 10^{3}}$ $=3.97 \times 10^{-7+3}$ $=3.97 \times 10^{-10}$ $=\frac{3.9 \times 10^{-10}}{10^{-9}} \mathrm{nm} \quad=0.40 \mathrm{nm}$
Q. The energy required to break one mole of Cl–Cl bonds in Cl2 is 242 kJ $\mathrm{mol}^{-1}$. The longest wavelength of light capable of breaking a single Cl–Cl bond is
$\left(\mathrm{C}=3 \times 10^{8} \mathrm{ms}^{-1} \text { and } \mathrm{N}_{\mathrm{A}}=6.02 \times 10^{23} \mathrm{mol}^{-1}\right)$
(1) 494 nm
(2) 594 nm
(3) 640 nm
(4) 700 nm
[AIEEE-2010]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (1) $\mathrm{B.E.}=242 \mathrm{kJ} / \mathrm{mol}$ $\mathrm{E}=\frac{\mathrm{hcN}_{\mathrm{A}}}{\lambda}$ $10^{3} \times 242 \times \lambda=3 \times 10^{8} \times 6.626 \times 10^{-34} \times 6.02 \times 10^{23}$ $\lambda=\frac{3 \times 6.626 \times 6.02 \times 10^{-26+23}}{242}$ $=0.494 \times 10^{-3} \times 10^{-3}$ = 494 nm
Q. Ionisation energy of $\mathrm{He}^{+}$ is $19.6 \times 10^{-18} \mathrm{J}$ atom $^{-1}$. The energy of the first stationary state (n = 1) of $\mathrm{L} \mathbf{i}^{2+}$ is:-
(1) $8.82 \times 10^{-17} \mathrm{J}$ atom $^{-1}$
(2) $4.41 \times 10^{-16} \mathrm{J}$ atom $^{-1}$
(3) $-4.41 \times 10^{-17} \mathrm{J}$ atom $^{-1}$
(4) $-2.2 \times 10^{-15} \mathrm{J}$ atom $^{-1}$
[AIEEE-2010]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (3) I.E. $=19.6 \times 10^{-18}$ I.E $\propto \mathrm{z}^{2}$ $\frac{(\mathrm{I.E.})_{\mathrm{Li}^{+2}}}{(\mathrm{I.E.})_{\mathrm{He}}}=\frac{\mathrm{Z}_{\mathrm{Li}}^{2}}{\mathrm{Z}_{\mathrm{He}}^{2}} \quad \mathrm{E}_{1}=\frac{9}{4} \times 19.6 \times 10^{-18}$ $=-4.41 \times 10^{-17}$
Q. The frequency of light emitted for the transition n = 4 to n = 2 of He+ is equal to the transition in H atom corresponding to which of the following
(1) n = 3 to n = 1 (2) n = 2 to n = 1 (3) n = 3 to n = 2 (4) n = 4 to n = 3
[AIEEE-2011]
Q. The electrons identified by quantum numbers n and :-
(a) n = 4 , = 1
(b) n = 4, = 0
(c) n = 3, = 2
(d) n = 3, = 1
Can be placed in order of increasing energy as
(1) (a) < (c) < (b) < (d) (2) (c) < (d) < (b) < (a)
(3) (d) < (b) < (c) < (a) (4) (b) < (d) < (a) < (c)
(3) (d) < (b) < (c) < (a) (4) (b) < (d) < (a) < (c)
[AIEEE-2012]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (3) (d) < (b) < (c) < (a) Acc. to (n + ) rule.
Q. If the kinetic energy of an electron is increased four times, the wavelength of the de-Broglie wave associated with it would become :-
(1) Two times
(2) Half
(3) One fourth
(4) Four time
[JEE-Main(online2012]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (2) $\lambda \propto \frac{1}{\sqrt{\mathrm{KE}}}$
Q. The wave number of the first emission line in the Balmer series of H-Spectrum is :
(R = Rydberg constant) :
(1) $\frac{3}{4} \mathrm{R}$
(2) $\frac{9}{400} \mathrm{R}$
(3) $\frac{5}{36} \mathrm{R}$
(4) $\frac{7}{6} \mathrm{R}$
[JEE-Main(online) 2013]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (3) $\bar{v}=\frac{1}{\mathrm{R}}\left(\frac{1}{2^{2}}-\frac{1}{3^{2}}\right)=\frac{5}{36 \mathrm{R}}$
Q. The de Broglie wavelength of a car of mass 1000 kg and velocity 36 km/hr is :
$\left(\mathrm{h}=6.63 \times 10^{-34} \mathrm{J} \mathrm{s}\right)$
(1) $6.626 \times 10^{-31} \mathrm{m}$
(2) $6.626 \times 10^{-34} \mathrm{m}$
(3) $6.626 \times 10^{-38} \mathrm{m}$
(4) $6.626 \times 10^{-30} \mathrm{m}$
[JEE-Main(online) 2013]
Q. For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship?
(1) a dust particle (2) an electron (3) a proton (4) an -particle.
[JEE-Main(online) 2014]
Q. 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 $\mathbf{L} \mathbf{i}^{++}$ is :
(1) 13.6 eV (2) 30.6 eV (3) 122.4 eV (4) 3.4 eV
[JEE-Main(online) 2014]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (2) B.E. $=3.4 \times 9=30.6 \mathrm{eV}$
Q. Based on the equation
$\Delta \mathrm{E}=-2.0 \times 10^{-18} \mathrm{J}\left(\frac{1}{\mathrm{n}_{2}^{2}}-\frac{1}{\mathrm{n}_{1}^{2}}\right)$
the wavelength of the light that must be absorbed to excite hydrogen electron from level n = 1 to level n $=2$ will be $\left(\mathrm{h}=6.625 \times 10^{-34} \mathrm{Js}, \mathrm{C}=3 \times 10^{8} \mathrm{ms}^{-1}\right)$
(1) $2.650 \times 10^{-7} \mathrm{m}$
(2) $1.325 \times 10^{-7} \mathrm{m}$
(3) $1.325 \times 10^{-10} \mathrm{m}$
(4) $5.300 \times 10^{-10} \mathrm{m}$
[JEE-Main(online) 2014]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (2) $\frac{1}{\lambda}=\frac{2 \times 10^{-18}}{\mathrm{hc}}\left[\frac{1}{(1)^{2}}-\frac{1}{(2)^{2}}\right]$ $\Rightarrow \frac{1}{\lambda}=\frac{2 \times 10^{-18}}{6.625 \times 10^{-34} \times 3 \times 10^{8}} \times \frac{3}{4}$ $\Rightarrow \lambda=\frac{2 \times 6.625 \times 10^{-34} \times 10^{8}}{10^{-18}}$ $=13.25 \times 10^{-8}$ $=1.325 \times 10^{-7} \mathrm{m}$
Q. If
be the threshold wavelength and wavelength of incident light, the velocity of photoelectron ejected from the metal surface is
[JEE-Main(online) 2014]
be the threshold wavelength and wavelength of incident light, the velocity of photoelectron ejected from the metal surface is
[JEE-Main(online) 2014]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (1) $\mathrm{E}=\phi+\frac{1}{2} \mathrm{mv}^{2}$ $\Rightarrow \frac{\mathrm{hc}}{\lambda}=\frac{\mathrm{hc}}{\lambda_{0}}+\frac{1}{2} \mathrm{mv}^{2}$ $\Rightarrow \mathrm{v}^{2}=\frac{2 \mathrm{hc}}{\mathrm{m}}\left[\frac{1}{\lambda}-\frac{1}{\lambda_{0}}\right] \Rightarrow \mathrm{v}=\sqrt{\frac{2 \mathrm{hc}}{\mathrm{m}}\left[\frac{1}{\lambda}-\frac{1}{\lambda_{0}}\right]}$ $\Rightarrow \mathrm{v}=\sqrt{\frac{2 \mathrm{hc}}{\mathrm{m}}\left[\frac{\lambda_{0}-\lambda}{\lambda \lambda_{0}}\right]}$
Q. Ionization energy of gaseous Na atoms is 495.5 $\mathrm{kjmol}^{-1}$ . The
lowest possible frequency of light that ionizes a sodium atom is
$\left(\mathrm{h}=6.626 \times 10^{-34} \mathrm{Js}, \mathrm{N}_{\mathrm{A}}=6.022
\times 10^{23} \mathrm{mol}^{-1}\right)$
(1) $3.15 \times 10^{15} \mathrm{s}^{-1}$
(2) $4.76 \times 10^{14} \mathrm{s}^{-1}$
(3) $1.24 \times 10^{15} \mathrm{s}^{-1}$
(4) $7.50 \times 10^{4} \mathrm{s}^{-1}$
[JEE-Main(online) 2014]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (3) $\Delta \mathrm{E}=\mathrm{hv}$ $\mathrm{v}=\frac{\Delta \mathrm{E}}{\mathrm{h}}$ $\mathrm{v}=\frac{495.5 \times 10^{3} \mathrm{Joule}}{6.023 \times 10^{23}} \times \frac{1}{6.626 \times 10^{-34}}$ $\mathrm{v}=1.24 \times 10^{15} \mathrm{sec}^{-1}$
Q. Which of the following is the energy of a possible excited state of hydrogen?
(1) –3.4 eV (2) +6.8 eV (3) +13.6 eV (4) –6.8 eV
[JEE-Main(offline) 2015]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (1) For H-atom, (Z = 1) $\mathrm{E}_{\mathrm{n}}=-13.6 \times \frac{\mathrm{Z}^{2}}{\mathrm{n}^{2}} \mathrm{eV}$ $\begin{aligned} \therefore \text { So for } \mathrm{E}_{1} &=-13.6 \mathrm{eV} \\ \mathrm{E}_{2} &=-3.4 \mathrm{eV} \end{aligned}$
Q. A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron respectively, then the value of $\mathrm{h} / \lambda$ (where $\lambda$is wavelength associated with electron wave) is given by :
(1) $\sqrt{2 \mathrm{meV}}$
(2) mev
(3) $2 \mathrm{meV}$
(4) $\sqrt{\mathrm{meV}}$
[JEE-Main 2016]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (1) As electron of charge ‘e’ is passed through ‘V’ volt, kinetic energy of electron becomes = ‘eV’ As wavelength of $e^{-}$ wave = $(\lambda)=\frac{\mathrm{h}}{\sqrt{2 \mathrm{m} \cdot \mathrm{K} \cdot \mathrm{E}}}$ $\lambda=\frac{\mathrm{h}}{\sqrt{2 \mathrm{meV}}}$ $\therefore \quad \frac{\mathrm{h}}{\lambda}=\sqrt{2 \mathrm{meV}}$
Q. The radius of the second Bohr orbit for hydrogen atom is :
(Planks const. $\mathrm{h}=6.6262 \times 10^{-34} \mathrm{Js}$; mass of electron $=9.1091 \times 10^{-31} \mathrm{kg} ;$ charge of electron $\mathrm{e}=$ $1.60210 \times 10^{-19} \mathrm{C}:$ permittivity of vaccuml $\left.\epsilon_{0}=8.854185 \times 10^{-12} \mathrm{kg}^{-1} \mathrm{m}^{-3} \mathrm{A}^{2}\right)$
[JEE-Main 2017]
[JEE-Main 2017]
Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...
Sol. (4) Radius of $\mathbf{n}^{\mathrm{th}}$ Bohr orbit in H-atom
Radius of II Bohr orbit $=0.53 \times(2)^{2}$
Thanks for this
Op
prompt(1)
this is bold
Good
Very useful information regarding to atomic structure I prefer esaral for this kind of solutions and questions
There are good but less in number.
More questions:
https://cdn1.byjus.com/wp-content/uploads/2020/07/JEE-Main-Chemistry-Previous-Year-Questions-With-Solutions-on-Atomic-Structure.pdf
Excellent questions
Nice really I had nice revision thank u very much esaral
Yeah really
I LIKE THIS WEBSITE BCZ THEY PROVIDE QUESTIONS SPECIFICALLY WHICH WERE ASKED IN JEE ONLY SO DURING EXAM TIME WE CAN KNOW THAT WHAT KING OF QUESTION WILL BE GONNA ASK IN JEE
nice questions
good questions but we need some m ore practice
For Complete study material, Video Lectures and Mind Map Download eSaral APP: https://esaral.com/app .
Nice question
good but we need some more questions
Thanks
thnx bro!
appreciated
Thank u man……
It is very helpful for me👍👍👍
Very very helpful for me👍👍👍✌✌
Love u guys for amazing content
thank you so much
🤘😝🤘Fantastic questions
Niceeeeeeeeee!!!!!!!!!!!
THANK YOU!
Nice questions👍👍
Nice questions. Thank you for your help.
It was helpful
Hi thanks you ☺️🙂😽
We owe a large time man…!
it was awesome sir
👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻
THANK YOU IT WAS VERY HELPFULL
It was very useful🙂🙂
Thanks ,it was very helpful.
Nice
Very interesting sets of questions
I good practice on this chapter so thank you soon muchhhh
very nice
Chill bro
it was really helpfull…. thanks a lot
Thanks
Thank You….It was very useful
Thank you
Maa Chudao
Goooooooooooooooooooooooooood
Ok
vrry goooddd
Thanks
It’s nice
Thanks
Thank you
awesome questions
super