Structure of Atom Test

Result

Structure of Atom Test - 6

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Weekly Quiz Competition

Question 1
4 / -1

Radial wave functio ns (R) of different orbitals are plotted. Which is/are correct graphs?

A

B

C

D
All of these

Solution

For 1s-orbital radial wave function (Ft) is maximum at r - 0, and falls rapidly as r increases thus, (a) correct.
For2s-orbital, radial wave function (R) is maximum at (r = 0), falls to zero and further decreases with r. There appears radial nodes. Thus (b) correct.
For2p-orbital, radial wave function is zero at r = 0, reaches maximum value (at r = a₀) and then falls thus (c) is correct.
Question 2
4 / -1

For 2s-orbital electron, radial probability density R² as function of r (distance) is given by

A

B

C

D
all of these

Solution

Correct Answer : b
Explanation : (a) It represents R2 vs r for 1s
(b) It represents R2 vs r for2s
(c) It represents R2 vs r for 2p
Question 3
4 / -1

For an electron in 2p-orbital, radial probability function 4πr²R² as a function of r is given by

A

B

C

D

Solution

(a) Describes radial wave function as a function of r for 1s
(b) Describes radial probability function as a function of r for 2s
(c) Describes radial wave function as a function r for 2s
(d) Describes radial probability function as a function of r for 2p
Question 4
4 / -1

C onsider the following figures A and B indicating distribution of charge density (electron probability ) with distance r
Select the correct statement(s).

A
Both A and B are for 1s

B
Both A and B are for 2s

C
A is for 2s and B is for 1s

D
A is for 1s and B is for 2s

Solution

in case of 1s, falls as r increases thus, (A) is for 1s.
In case of 2s, is maximum in the vicinity o f the nucleus, falls to zero giving spherical nodes and then rises to second highest value. Thus, (6) is for2s
Question 5
4 / -1

Select the correct statement(s).

A
| | measures the electron probability density at point in an atom

B
and | | vary as a function of the three coordinates r (radial), θ and ( (angular part)

C
Angular wave function ‘θ’ depends an only l and m, and is independent of n

D
All of the above are correct statements

Solution

Thus, is d e pendent on r true

(b) and | | are dependent on r, θ and : true
(c) Angular wave function is determined by /land m, and not by n: true
Question 6
4 / -1

Which orbital gives an electron, a greater probability being found close to the nucleus?

A
3p

B
3d

C
3s

D
equal

Solution

3s is spherically symmetrical and its electron density is maximum at the nucleus. It decreases with r.
Question 7
4 / -1

Hamiltonian operator is the sum of two energy operators. These are

A
mechanical and potential

B
kinetic and mechanical

C
kinetic and potential

D
thermal and potential

Solution

H = T + V
Question 8
4 / -1

Angular nodes in 4s- suborbit is equal to radial nodes in

A
3d

B
2p

C
Both (A) and (B)

D
none of these

Solution

Angular nodes in 4s = 0
Question 9
4 / -1

at any point is proportional to

A
the probability of finding the particle at that point

B
energy of the electron

C
radius of the orbital

D
(radius)^-1 of the orbital

Solution

Radial probability density = 4πr² of find in g the electron within the volume of a very thin spherical shell at a distance r from nucleus.
Question 10
4 / -1

There is formation of in all five nodes (including terminal nodes) in a string of 12 cm. Thus, wavelength of the waves formed is

A
6.0 cm

B
4.8 cm

C
2.4 cm

D
1.2 cm

Solution

For n nodes in a string
Question 11
4 / -1

For x -axis , wave function () can be written as
Thus, Schrodinger wave equation along x-axis can be written as :

A

B

C

D
None of the above

Solution
Question 12
4 / -1

The Schrodinger wave equation for H-atom is
where, a₀ is Bohr’s radius. If radial node in 2s is at distance r₀, then

A

B

C

D

Solution
Question 13
4 / -1

The de Broglie wavelength associated with a ball of mass 200 g and moving at a speed of 5 metres/hour, is of the order of (h = 6.625 x 10^-34 J s) is

A
10^-15 m

B
10^-20 m

C
10^-25 m

D
10^-30 m

Solution
Question 14
4 / -1

What will be the wavelength of an electron moving with 1/10th of velocity of light?

A
2.43 x 10^-11 m

B
243 x 10^-11 m

C
0.243 m

D
2.43 x 10^-4 m

Solution
Question 15
4 / -1

Match the column I with column II and mark the appropriate choice.

A
(A) → (iii), (B) → (iv), (C) → (i), (D) → (ii)

B
(A) → (ii), (B) → (i), (C) → (iv), (D) → (iii)

C
(A) → (iv), (B) → (iii), (C) → (i), (D) → (ii)

D
(A) → (i), (B) → (ii), (C) → (iv), (D) → (iii)