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21.
Correct set of four quantum numbers for the valence (outermost) electron of rubidium $$\left( {Z = 37} \right)$$ is:
A
$$5,0,0, + \frac{1}{2}$$
B
$$5,1,0 + \frac{1}{2}$$
C
$$5,1,1, + \frac{1}{2}$$
D
$$6,0,0, + \frac{1}{2}$$
Answer :
$$5,0,0, + \frac{1}{2}$$
$$Rb$$ has the configuration : $$1{s^2}2{s^2}{p^6}\,3{s^2}{p^6}{d^{10}}\,4{s^2}{p^6}5{s^1};$$
so $$n = 5,l = 0,m = 0$$ and $$s = + \frac{1}{2}$$ is correct set of quantum numbers for valence shell electron of $$Rb.$$
22.
Which is the correct order of increasing energy of the listed orbitals in the atom of titanium?
A
$$3s\,\,4s\,\,3p\,\,3d$$
B
$$4s\,\,3s\,\,3p\,\,3d$$
C
$$3s\,\,3p\,\,3d\,\,4s$$
D
$$3s\,\,3p\,\,4s\,\,3d$$
Answer :
$$3s\,\,3p\,\,3d\,\,4s$$
According to Aufbau rule
$$3s < \,3p\, < 3d\, < 4s$$
23.
The orbital diagram in which the Aufbau principle is violated is :
A
(i)
B
(ii)
C
(iii)
D
(iv)
Answer :
(ii)
According to Aufbau principle, the orbital of lower energy $$(2s)$$ should be fully filled before the filling of orbital of higher energy starts.
24.
$$P$$ is the probability of finding the $$1s$$ electron of hydrogen atom in a spherical shell of infinitesimal thickness $$dr,$$ at a distance $$r$$ from the nucleus. The volume of this shell is $$4\pi {r^2}dr.$$ The qualitative sketch of the dependence of $$P$$ on $$r$$ is
A
B
C
D
Answer :
Probability of finding $$1s$$ electron is maximum near the nucleus and goes on increasing till it reaches a maximum value at a distance 52.9$$\,pm$$ and then begins to decrease abruptly. Even at large distance from the nucleus, there is a finite though small probability of finding an electron of a given energy.
25.
The threshold frequency of a metal is $$1 \times {10^{15}}{s^{ - 1}}.$$ The ratio of the maximum kinetic energies of the photoelectrons when the metal is irradiated with radiations of frequencies $$1.5 \times {10^{15}}{s^{ - 1}}$$ and $$2.0 \times {10^{15}}{s^{ - 1}}$$ respectively would be
26.
The correct set of quantum numbers for the unpaired electron of chlorine atom is:
$$n$$
$$l$$
$$m$$
(a)
2
1
0
(b)
2
1
1
(c)
3
1
1
(d)
3
0
0
A
(a)
B
(b)
C
(c)
D
(d)
Answer :
(c)
Electronic configuration of chlorine is $$\left[ {Ne} \right]3{s^2},3{p^5}$$
∴ Unpaired electron is found in $$3p$$ sub-shell.
$$\therefore \,\,n = 3,\,l = 1,\,m = 1$$
27.
If $$n =6,$$ the correct sequence for filling of electrons will be
28.
If $$m$$ and $$e$$ are the mass and charge of the revolving electron in the orbit of radius $$r$$ for hydrogen atom, the total energy of the revolving electron will be :
A
$$\frac{1}{2}\frac{{{e^2}}}{r}$$
B
$$ - \frac{{{e^2}}}{r}$$
C
$$\frac{{m{e^2}}}{r}$$
D
$$ - \frac{1}{2}\frac{{{e^2}}}{r}$$
Answer :
$$ - \frac{1}{2}\frac{{{e^2}}}{r}$$
Total energy of a revolving electron is the sum of its kinetic and potential energy.
Total energy $$ = K.E. + P.E.$$
$$\eqalign{
& = \frac{{{e^2}}}{{2r}} + \left( { - \frac{{{e^2}}}{r}} \right) \cr
& = - \frac{{{e^2}}}{{2r}} \cr} $$
29.
What will be the wavenumber of yellow radiation having wavelength 240$$\,nm?$$