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What is the separation energy (in eV) for $B{e}^{3+}$ in the first excited state
in eV?
1. 13.6 eV
2. 27.2 eV
3. 40.8 eV
4. 54.5 eV

Which of the following is discrete in Bohr’s theory?
1. Potential energy
2. Kinetic energy
3. Velocity
4. Angular momentum

The ionization potential for the electron in the ground state of the hydrogen atom is 13.6 eV ato$m^{-1}$. What would be the ionization potential for the electron in the first excited state of $L{i}^{2+}$?
1. 3.4 eV
2. 10.2 eV
3. 30.6 eV
4. 6.8 eV

Find the value of wavenumber in terms of Rydberg's constant, when the transition of electron takes place between two levels of $H{e}^{+}$ ion whose sum is 4 and difference 2
1.  8 R/9
2.  32 R/9
3.  3 R/4
4.  None of these 

What is the maximum wavelength line in the Lyman series of $H{e}^{+}$ ion?
1. 3R
2. 1/3R
3. 4/4R
4. None of these

If ${\lambda }_0$ and $\lambda$ be the threshold wavelength and the wavelength of incident light, the velocity of photo electrons ejected from the metal surface is :
1. $\sqrt{\frac{2h}{m}\left({\lambda }_{0-}\lambda \right)}$
2. $\sqrt{\frac{2hc}{m}\left({\lambda }_0-\lambda \right)}$
3. $\sqrt{\frac{2hc}{m}\frac{\left({\lambda }_{0-}\lambda \right)}{{\lambda }_0\lambda }}$
4. $\sqrt{\frac{2h}{m}\left(\frac{1}{{\lambda }_0}-\frac{1}{\lambda }\right)}$

A light source of wavelength $\lambda$ illuminates a metal and ejects photo-electrons with ${\left(K.E\right)}_{max}$= 1 eV. Another light source of wavelength $\frac{\lambda }{3}$, ejects photo electrons from same metal with ${\left(K.E\right)}_{max}$ = 4 eV Find the value of work function ?
1. 1 eV
2. 2 eV
3. 0.5 eV
4. None of these

The ratio of slopes $K_{max}$ vs $\nu$ and $v_0$ vs $\nu$ curves in the photoelectric effect gives (v = frequency, $K_{max}$ = maximum kinetic energy, $v_0$= stopping potential)
1. Charge of electron
2. Planck’s constant
3. Work function
4. The ratio of Planck’s constant of electronic charge

Radiation corresponding to the transition n = 4 to n = 2 in hydrogen atoms falls
on a certain metal (work function = 2.5 eV).
The maximum kinetic energy of the photo electrons will be:
1. 0.05 eV
2. 2.55 eV
3. 4.45 eV
4. None of these

A dye absorbs a photon of wavelength $\lambda$ and re-emits the same energy into two photons of wavelengths ${\lambda }_1$ and ${\lambda }_2$ respectively. The wavelength ${\lambda }_{}$ is related with
${\lambda }_1$ and ${\lambda }_2$ as:
1. $\lambda =\frac{{\lambda }_1+{\lambda }_2}{{\lambda }_1{\lambda }_2}$
2. $\lambda =\frac{{\lambda }_1{\lambda }_2}{{\lambda }_1+{\lambda }_2}$
3. $\lambda =\frac{{\lambda }_1^2+{\lambda }_2^2}{{\lambda }_1+{\lambda }_2}$
4. $\lambda =\frac{{\lambda }_1{\lambda }_2}{{\left({\lambda }_1+{\lambda }_2\right)}^2}$

Energy required to ionize 2 mole of gaseous $H{e}^{+}$ ion present in its ground state is :
1. 54.4 eV
2. 108.8 $N_A$eV
3. 54.4 $N_A$eV
4. 108.8 eV

If an electron is travelling at 200 m/s within 1 m/s uncertainty, what is the theoretical uncertainty in its position in $\mu$m (micrometer)?
1. 14.5
2. 29
3. 58
4. 114

If the subsidiary quantum number of sub energy level is 4, the maximum and minimum values of the spin multiplicities are :
1. 9,1
2. 10,1
3. 10,2
4. 41,-4

The orbital angular momentum of 3p electron is:
1. $\sqrt{3}h$
2. $\sqrt{6}h$
3. Zero
4.$\sqrt{2}\frac{h}{2\mathrm{\pi }}$

The ratio of magnetic moments of Fe(III) and Co(II) is :
1. $\sqrt{5}:\sqrt{7}$
2. $\sqrt{35}:\sqrt{5}$
3. $\sqrt{7}:\sqrt{3}$
4. $\sqrt{24}:\sqrt{15}$

A compound of vanadium has a magnetic moment ($\mu$) of 1.73 BM. If the vanadium ion in the compound is present as $V^{\times -}$, then, the value of x ¡s?
1. 1
2. 2
3. 3
4. 4

The g subshell follows the f subshell. Determine the total number of orbitals in the shell where
the g subshell first appears.
1. 9
2. 16
3. 25
4. 36

Which of the following orbitais has two spherical nodes?
1. 2s
2. 4s
3. 3d
4. 6f