Question 1 :
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 2 :
The energy required for removal of electron from $3s, 3p, 3d$ subshells of hydrogen atom will lie in following sequence:<br>${ E }_{ 1 }=\left( 3s\longrightarrow \infty \right) { E }_{ 2 }=\left( 3p\longrightarrow \infty \right) { E }_{ 3 }\left( 3d\longrightarrow \infty \right) $

Question 3 :
The binding energy of&#160;$\displaystyle e^{-}$ 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 4 :
The two electrons have the following sets of quantum numbers.<br/>X: 3, 2, -2, +1/2<br/>Y: 3, 0, 0, + 1/2<br/>What is true of the following?

Question 5 :
In an atom the shell which has a maximum two electrons is:

Question 6 :
A particle of mass M at rest decays into two particles of masses $m1$ and $m_2$, havung non-zero velocities. The ratio of the de-Broglie wavelengths of the particles, $l_1/l_2$ is?

Question 7 :
As an electron is brought from an infinite&#160;distance close of nucleus of the atom, the energy&#160;of electron:

Question 9 :
Which one of the following does not contains electrons in $4s$ subshells?<br/>Given that : Atomic numbers: $Ti=22,V=23,Cr=24,Mn=25$

Question 10 :
Which of the following electron transition in hydrogen atom will require the largest amount of energy?

Question 11 :
If the PE of a Bohr's hydrogen atom in the ground state is zero, then its total energy in the first excited state will be :

Question 12 :
The ratio of ground state energy of $Li^{2+},&#160;He^+$ and H is :

Question 13 :
Number of waves made by the pion when orbiting in third excitation state are

Question 14 :
Assertion: 3s, 3p and 3d subshells of hydrogen have the same energy. <br/>Reason: Energy of subshells in the hydrogen atom, depends on the principal quantum number (n) and azimuthal quantum number (l).&#160;<br/>

Question 16 :
<div>For $H$-like atoms :</div><div>&#160; &#160; &#160;&#160;</div><div>&#160; &#160; &#160; &#160; &#160; &#160; $\displaystyle E_n=-\frac{Z^2Rh}{n^2};u_n=\frac{u_1Z}{n}$ and $r_n=\frac{r_1\times n^2}{Z};$ where $Rh$ is Rydberg.<br/></div><br/>What is the potential energy of electron in $2^{nd}$ orbit of $H$-atom?<br/>

Question 17 :
The energy of the second Bohr orbit in the hydrogen atom is $-3.41 \,eV.$ The energy of the second Bohr orbit of $He^{+}$ ion would be:

Question 18 :
The wavelength($\lambda_n$) of the pion orbiting in nth stationary state is given by

Question 19 :
The total energy of a hydrogen atom in its ground state is $-13.6\ eV$. If the potential energy in the first excited state is taken as zero then the total energy in the ground state will be:

Question 20 :
Consider the hydrogen atom to be a proton embedded in a cavity of radius $a_0$ (Bohr's radius), whose charge is neutralized by the addition of an electron to the cavity in vacuum, infinitely slowly.&#160;Then the wavelength of the electron when it is at a distance of $a_0$ from the proton will be&#160;<br/>

Question 21 :
A hydrogen-like atom (atomic number $Z$) is in a higher excited state of the quantum number $n$. This excited atom can make a transition to the first excited state by successfully emitted to photons of energies $10.20eV$ and $17.00eV$ respectively.<div>&#160; &#160; &#160; &#160;Alternatively, the atom from the same excited state can make a transition to the second excites state by the successively emitting two photons of energy $4.25ev$ and $5.95ev$ respectively. Determine the values of $n$ and $Z$ (ionization energy of hydrogen atom $=13.6eV$).<br/></div>

Question 22 :
Electrons accelerated by potential V are diffracted from a crystal. If $\mathrm{d}= 1\mathrm{A}$ and $\mathrm{i}=30^{0},\ \mathrm{V}$ should be about:&#160;<div>[$\mathrm{h}=6.6\times 10^{-34}$ Js, $\mathrm{m}_{\mathrm{e}}=9.1\times 10^{-31}$ kg, $\mathrm{e}=1.6\times 10^{-19}\mathrm{C}$]<br/></div>

Question 23 :
The ratio of speed of electron in $I$ orbit of $H$-atom to $IV$ orbit of $He^+$ ion is :<br/>

Question 24 :
The number of revolutions of an electron in the second Bohr orbit in one second is:<br>

Question 25 :
The quantum number n of the state finally populated in $He^{+}$ ions is&#160;<br/>