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11th Chemistry Monthly Test - 1 ( Quantum Mechanical Model of Atom )

MABS Institution

11th Chemistry Monthly Test - 1 ( Quantum Mechanical Model of Atom )-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

According to Bohr's theory angular momentum of an electron in 6^th orbit is

\(2.5\frac { h }{ \pi } \)
\(6\frac { h }{ \pi } \)
\(3\frac { h }{ \pi } \)
\(\frac { 2.5h }{ 2\pi } \)

de-Broglie equation is

λ = mv/h
λ = hmv
λ = hv/m
λ =h/mv

How many neutrons and protons respectively are present in the ₆C¹³ nuclei?

6, 13
6, 7
13,6
7,6

How many electrons in an atom with atomic number 105 can have (n + I) = 8 ?

30
17
15
unpredictable

The total number of orbitals associated with the principal quantum number n = 3 is

9
8
5
7

For d-electron, the orbital angular momentum is

\(\frac { \sqrt { 2 } h }{ 2\pi } \)
\(\\ \frac { \sqrt { 2h } }{ 2\pi } \)
\(\frac { \sqrt { 2\times 4 } h }{ 2\pi } \)
\(\frac { \sqrt { 6 } h }{ 2\pi } \)

Bohr's equation for energy of an election in a hydrogen atom is given as______

\(E=\frac { -1312 }{ { n }^{ 2 } } KJ{ mol }^{ -1 }\)
\(E=\frac { -1312 }{ { n }^{ 2 }{ h }^{ 2 } } KJ{ mol }^{ -1 }\)
E = hv
\(E=\frac { 4{ \pi }^{ 2 }{ me }^{ 4 } }{ { n }^{ 2 }{ h }^{ 2 } } KJ{ mol }^{ -1 }\)

Isotopes have

same number of protons
same number of neturons
dfferent number of electrons
different atomic number.

The de-Broglie wavelength associated with a matter particle is

Directly proportional to die momentum of the particle
Directly proportional to the velocity of the particle
Inversely proportional to the momentum of the particle
Inversely proportional to Plank's constant

The electronic configuration of copper is ______

[Ar]4s²3d⁹
[Ar]4s¹3d¹⁰
[Ar]4s⁰3d¹⁰
All

Part - B

Generic 2 - Answer All Question

For each of the following, give the sub level designation, the allowable m values and the number of orbitals
(i) n = 4, l=2, (ii) n = 5, l=3 (iii) n = 7, l=0

What are the defects of Rutherford's model?

How many radial nodes for 2s, 4p, 5d and 4f orbitals exhibit? How many angular nodes

Which quantum number reveal information about the shape, energy, orientation and size of orbitals?
How many orbitals are possible for n =4?

An atom of an element contains 35 electrons and 45 neutrons. Deduce
(i) the number of protons
(ii) the electronic configuration for the element
(iii) All the four quantum numbers for the last electron

Write a note on Thomson's plum pudding model of an atom.

Define orbital? what are the n and 1 values for 3p_x and 4d_x²_-_y² electron?

Consider the following electronic arrangements for the d⁵ configuration.
(a)

\(\upharpoonleft \downharpoonright \) \(\upharpoonleft \downharpoonright \) \(\upharpoonleft \)

(b)

\(\upharpoonleft \) \(\upharpoonleft \) \(\upharpoonleft \) \(\upharpoonleft \downharpoonright \)

(c)

\(\upharpoonleft \) \(\upharpoonleft \) \(\upharpoonleft \) \(\upharpoonleft \) \(\upharpoonleft \)

(i) which of these represents the ground state
(ii) which configuration has the maximum exchange energy.

How fast must a 54g tennis ball travel in order to have a de Broglie wavelength that is equal to that of a photon of green light 5400\(\overset { 0 }{ A } \) ?

Part - C

Generic 3 - Answer All Question

Which quantum accounts for the orientation of the electron orbital?

The quantum mechanical treatment of the hydrogen atom gives the energy value:
\({ E }_{ n }=\frac { -13.6 }{ { n }_{ 2 } } ev{ \quad atom }^{ -1 }\)
(i) use this expression to find AE between n = 3 and m=4
(ii) Calculate the wavelength corresponding to the above transition.

Calculate the uncertainty in position of an electron, if Av = 0.1% and \(\upsilon \) = 2.2 x 10⁶ms^-1.

Describe the Autbau principle

Orbits are also called as stationary states. Say whether the above statement is true or false.Justify your answer
Calculate the total number of angular nodes and radial nodes present in 3p-orbital.

An electron a proton which one will have a higher velocity to produce matter waves of the same wavelength? Explain it

How does the Bohr theory of the hydrogen atom differ from that of Schrodinger?

An atom of an element contains 29 electrons and 35 neutrons. Deduce
(i) the number of protons.
(ii) the electronic configuration of the element.

Write a note on the shape of f orbitals

Part - D

Generic 5 - Answer All Question

The Li²⁺ ion is a hydrogen like. ion that can be described by the Bohr model. Calculate the Bohr radius of the third orbit and calculate the energy of an electron in 4^th orbit.

A neutral atom of an element has 2K, 8L and 5M electrons. Find out the following.
(i) Atomic number of the element (ii) Total number of s-electrons (iii) Total number of p-electrons (iv) Number of protons in the nucleus (v) Valency of the element

Suppose that the uncertainty in determining the position of an electron in an orbit is 0.6 \(\mathring{A}\) . What is the uncertainty in its momentum

The quantum numbers of six electrons are given below. Arrange them in order of increasing energies.If any of these combination(s) has/have the same energy lists.
(i) n=4, l=2 m₁ = -2,m_s= - \(\frac { 1 }{ 2 } \)
(ii) n= 3, l= 2, m₁=1,m_s = +\(\frac { 1 }{ 2 } \)
(iii) n= 3, l= 1,m₁ =0 m_s= +\(\frac { 1 }{ 2 } \)
(iv) n= 3, l= 2,m₁ = -2,m_s= - \(\frac { 1 }{ 2 } \)
(v) n= 3, l= 1,m₁=-1,,m_s=+ \(\frac { 1 }{ 2 } \)
(vi) n= 4, l= 1,m₁ = 0, m_s= +\(\frac { 1 }{ 2 } \)

What is the de Broglie wave length of an electron, which is accelerated from the rest, through a potential difference of 100V?

Complete the table given below

S.No Symbol Mass No. Atomic No Proton Neutron Electrons

1. Zn²⁺ 64 30 - - -

2. Cl^- 35 - - 18 18

3. Ar - - 18 22 1

Identify the missing quantum numbers and the sub energy level

n 1 m Sub energy level

? ? 0 4d

3 1 0 ?

? ? ? 5p

? ? -2 3d

The uncertainty in the position and velocity of a particle are 1 nm and 5.27 X 10^-24
ms^-1 respectively. Calculate the mass of the particle.

Protons can be accelerated in particle accelerators. Calculate the wavelength (in A)of such accelerated proton moving at 2.85 x 108 ms^-1 (the mass of proton is 1.673x10^-27 Kg).

Calculate the energy required for the process.
\({ He }_{ (g) }^{ + }\longrightarrow { He }_{ (g) }^{ 3+ }+{ e }^{ - }\)
The ionisation energy for the H atom in its ground state is -13..6 ev atom^-1

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