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A compound of vandanium has a magnetic moment
of 1.73 BM. Write the electronic configuration of
Vandium in this compound.
1. [Ar] 4s² 3d³
2. [Ar] 4s¹ 3d³
3. [Ar] 3d²
4. [Ar] 3d¹

for frequencies v1 and v2 of the incident radiations
(v₁ > v₂). If the maximum kinetic energy of the
photoelectrons in two cases are in the ratio 1 : K,
then the threshold frequency v₀ is given by
1. $\frac{{\mathrm{v}}_2-{\mathrm{v}}_1}{\mathrm{K}-1}$
2. $\frac{{\mathrm{Kv}}_1-{\mathrm{v}}_2}{\mathrm{K}-1}$
3. $\frac{{\mathrm{Kv}}_2-{\mathrm{v}}_1}{\mathrm{K}-1}$
4. $\frac{{\mathrm{v}}_2-{\mathrm{v}}_1}{\mathrm{K}}$

An electron in an atom jumps in such a way that its
kinetic energy changes from x to x/4. The change in
potential energy will be
1. $+\frac{3}{2}\mathrm{x}$
2. $-\frac{3}{8}\mathrm{x}$
3. $+\frac{3}{4}\mathrm{x}$
4. $-\frac{3}{4}\mathrm{x}$

The distance between 4th and 3rd Bohr orbits of ${\mathrm{He}}^{+}$
is
1. 2.645 × 10^–10
2. 2.322 × 10^–10
3. 1.851 × 10^–10
4. None of these

According to Bohr’s atomic theory, which of the
following reaction is correct?
1. Potential energy of electron ∝ $\frac{{\mathrm{Z}}^2}{{\mathrm{n}}^2}$
2. The product of velocity of electron and principal
quantum number (n) ∝ Z²
3. Frequency of revolution of electron in an orbit ∝ $\frac{Z^3}{n^3}$
4. Coulombic force of attraction on the electron  ∝ $\frac{Z^2}{n^2}$

Electronic transition in He⁺ ion takes from n₂ to n₁
shell such that:
2n₂ + 3n₁ = 18
2n₂ – 3n₁ = 6
What will be the total number of photons emitted
when electrons transit to n₁ shell?
1. 21
2. 15
3. 20
4. 10

Which of the following electron transitions in a
hydrogen atom will require the largest amount of
energy?
1. from n = 1 to n = 2
2. from n = 2 to n = 4
3. from n = 5 to n = 1
4. from n = 3 to n = 5

According to Einstein’s photoelectric equation, the graph between kinetic energy of photoelectrons ejected and the frequency of the incident radiation is:

1.		2.
3.		4.

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

If a₀ be the radius of first Bohr’s orbit of H-atom, the
de-Broglie’s wavelength of an electron revolving the
second Bohr’s orbit will be:
1. 6 $\mathrm{\pi }$a₀
2. 4 $\mathrm{\pi }$a₀
3. 2 $\mathrm{\pi }$a₀
4. None of these

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

The variation of radial probability density R²(r) as a function of distance (r ) of the electron from the nucleus for 3p-orbital is captured in which of the following graphs?

1.		2.
3.		4.

The subshell that arises after f is called the g subshell.
How many electrons may occupy that g subshell?
1. 9
2. 7
3. 5
4. 18

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

Wave function of an orbital is plotted against the
distance from nucleus. The graphical representation
is of

1. 1s
2. 2s
3. 3s
4. 2p