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61.
The energy of electron in first energy level is $$ - 21.79 \times {10^{ - 12}}erg$$ per atom. The energy of electron in second energy level is :
A
\[-54.47\times {{10}^{-12}}\,erg\,\,ato{{m}^{-1}}\]
B
\[-5.447\times {{10}^{-12}}erg\,\,ato{{m}^{-1}}\]
C
\[-0.5447\times {{10}^{-12}}erg\,\,ato{{m}^{-1}}\]
D
\[-0.05447\times {{10}^{-12}}erg\,\,ato{{m}^{-1}}\]
If we assume the atom to be hydrogen like, energy of $${n^{th}}$$ energy level
$${E_n} = - \frac{{{E_1}}}{{{n^2}}}$$
where $${{E_1}}$$ is energy of first energy level
$$\eqalign{
& {E_2} = - \frac{{{E_1}}}{{{2^2}}} \cr
& = - \frac{{{E_1}}}{4} \cr
& = \frac{{ - 21.79 \times {{10}^{ - 12}}}}{4} \cr
& = - 5.447 \times {10^{ - 12}}erg\,\,per\,\,atom. \cr} $$
62.
Arrange the electromagnetic radiations $$a, b, c, d$$ and $$e$$ in increasing order of energy. Frequencies of $$a, b$$ and $$c$$ are $${10^{15}},{10^{14}}$$ and $${10^{17}}$$ respectively whereas wavelength of $$(d)$$ and $$(e)$$ are $$350\,nm$$ and $$100\,nm$$ respectively ?
63.
Among the following groupings which represents the collection of isoelectronic species?
A
$$N{O^ + },C_2^{2 - },O_2^ - ,CO$$
B
$${N_2},C_2^{2 - },CO,NO$$
C
$$CO,N{O^ + },C{N^ - },C_2^{2 - }$$
D
$$NO,C{N^ - },{N_2},O_2^ - $$
Answer :
$$CO,N{O^ + },C{N^ - },C_2^{2 - }$$
The species $$CO,N{O^ + },C{N^ - }$$ and $$C_2^{2 - }$$ contain
14 electrons each.
64.
Which of the following observations was not correct during Rutherford's scattering experiment ?
A
Most of the $$\alpha $$ - particles passed through the gold foil undeflected.
B
A small fraction of the $$\alpha $$ - particles was deflected by small angles.
C
A large number of the $$\alpha $$ - particles were bounced back.
D
A very few $$\alpha $$ - particles $$\left( { \sim 1\,\,{\text{in}}\,\,20,000} \right)$$ were bounced back.
Answer :
A large number of the $$\alpha $$ - particles were bounced back.
Only a few $$\alpha $$ - particles ( 1 in 20,000 ) bounced back.
65.
How many electrons can fit in the orbital for which $$n = 3\,{\text{and}}\,I = 1\,?$$
A
2
B
6
C
10
D
14
Answer :
2
According to Hund’s rule of maximum multiplicity, An orbital can accommodate a
maximum number of 2 electrons of exactly opposite spin. Hence, option (A) is correct. Caution Remember, maximum number of electrons in an orbital do not depend upon the quantum numbers as given in the question.
66.
Which one is not in agreement with Bohr's model of the atom ?
A
Line spectra of hydrogen atom
B
Pauli's exclusion principle
C
Planck's theory
D
Heisenberg's uncertainty principle
Answer :
Heisenberg's uncertainty principle
Bohr's model of an atom describes orbit as a clearly defined path and this could be only possible when both position and the velocity of the electron are known exactly at the same time. This is not possible according to Heisenberg uncertainty principle.
67.
Electromagnetic radiation with maximum wavelength is :
A
ultraviolet
B
radiowave
C
$$X-$$ray
D
infrared
Answer :
radiowave
TIPS/Formulae : The following is the increasing order of wavelength or decreasing order of energy of electromagnetic radiations :
Among given choices radiowaves have maximum wavelength.
68.
Consider the following sets of quantum numbers.
$$n$$
$$l$$
$$m$$
$$s$$
(i)
3
0
0
$$ + \frac{1}{2}$$
(ii)
2
2
1
$$ + \frac{1}{2}$$
(iii)
4
3
−2
$$ - \frac{1}{2}$$
(iv)
1
0
−1
$$ - \frac{1}{2}$$
(v)
3
2
3
$$ + \frac{1}{2}$$
Which of the following sets of quantum number is not possible?
A
(ii), (iii) and (iv)
B
(i), (ii), (iii) and (iv)
C
(ii), (iv) and (v)
D
(i) and (iii)
Answer :
(i) and (iii)
The value of $$l$$ varies from 0 to $$(n - 1)$$ and the value of $$m$$ varies from $$- l$$ to $$+l$$ through zero.
The value of $$'s'\,\, \pm \,\,\frac{1}{2}$$ which signifies the spin of electron. The correct sets of quantum number are following:
$$n$$
$$l$$
$$m$$
$$s$$
(ii)
2
1
1
$$ - \frac{1}{2}$$
(iv)
1
0
0
$$ - \frac{1}{2}$$
(v)
3
2
2
$$ + \frac{1}{2}$$
69.
The uncertainty in momentum of an electron is $$1 \times {10^{ - 5}}kg/ms.$$ The uncertainty in its position will be
$$\left( {{\text{Given,}}\,h = 6.62 \times {{10}^{ - 34}}kg\,\,{m^2}/s} \right)$$
The possible quantum numbers for $$4f$$ electron are
$$\eqalign{
& n = 4,\, \cr
& l = 3,\, \cr
& m = - 3,\, - 2 - 1,\,\,0,\,\,1,\,\,2,\,\,3 \cr
& s = \pm \frac{1}{2} \cr} $$