PPSC Chemistry Lecturer Preparation (Test # 01)- Malik Xufyan

Malik Xufyan WhatsApp # 0313-7355727
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PPSC CHEMISTRY CLASS
Test Session
CH: Quantum Chemistry
Test # 01
For more WhatsApp # 0313-7355727
Topics:
1. Quantum theory
2. Schrodinger wave equation
3. Particle in one dimension box
4. Application of Schrodinger wave equation for Hydrogen atom
Note:
Quantum Theory
Background:
1. Mechanics Introduction
2. Classical Mechanics and Electromagnetic theory
3. Limitations of Classical mechanics
4. Blackbody Radiation
There are steps to modify theory of matter. That is quantum theory
Applications of Quantum Theory
1. Photoelectric effect
2. Compton effect
3. Matter wave or de Broglie hypothesis
4. Verification of dual nature experiment
5. Heisenberg uncertainty principle
These topics also linked with quantum theory. So kindly don't ignore them.

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Quantum Theory
1) Which one of the following is not the characteristic of Planck's quantum theory of
radiation?
a) The energy is not absorbed or emitted in whole number or multiples of quantum
b) Radiation is associated with energy
c) Radiation energy is not emitted or absorbed continuously but in the form of small
packets called quanta
d) Magnitude of energy associated with a quantum is proportional to the frequency
2)The Planck’s constant h has the dimensions equal to
a) M L 2
T -1
b) M L T -1
c) M L T -2
d) M L T
3) EMR travels through vacuum at a speed of _____ m/s.
a) 10000
b) It depends on wavelength
c) 3 x 108
d) 186,000
4) Wavelengths of different radiations are given below :
(A) λ =300 nm
(B) λ =300 m
(C) λ =3 nm
(D) λ =30 A0
Which one has the highest Energy
(i) A
(ii) B
(iii) C
(iv) D

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5) What is correct about wavenumber?
a) It is defined as the number of waves which pass through a particular point in one
second.
b) It is defined as the number of wavelengths per unit length.
c) It is defined as the distance between two neighbouring crests or troughs of wave.
d) It is the distance travelled by a wave in one sec.
6) Who discovered and first used the constant h = 6.6 x 10-34
J.s ?
a) De-Broglie
b) Einstein
c) Bohr
d) Plank
7) What is the relation between wavelength, frequency and velocity?
a) cλ = ⱱ
b) c = ⱱ λ
c) c = λ / ⱱ
d) c = ⱱ / λ
8) Which of the following has shortest wavelength?
a) Infrared
b) Ultraviolet
c) Microwave
d) X-ray
9) Calculate the energy in corresponding to light of wavelength 45 nm :
(Planck's constant h = 6.63 × 10 Js: speed of light c = 3 × 10 ms )
a) 6.67 x 1015
b) 6.67 x 1011
c) 4.42 x 10-15
d) 4.42 x 10-18
10) A radio operator broadcast on the 6 meter band. The frequency of this EMR is
_____MHz.

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a) 500
b) 20
c) 50
d) 200
11) What is the energy of a photon that has a wavelength of 12.3nm?
a) 4.42 x 10-23
J
b) 1.6 x 10-17
J
c) 1.51 x 10-17
J
d) 1.99 x 10-25
J
12) What is the wavelength of light (nm) that has a frequency 4.62 x 1014
s-1
?
a) 1.54 x 10-3
b) 649
c) 932
d) 1.07 x 106
13) Predictions of the quantum mechanics must pass smoothly into those of classical
mechanics whenever we progress in a continuous way from the microscopic to the
macroscopic, this is called?
a) Uncertainty principle
b) Probability distribution
c) Probability density theory
d) Correspondence principle
14) Schrodinger wave equation when solved for any system gives?
a) The polarizability
b) The wave function
c) The mean free path
d) The energy fluctuation
15) Which of the following postulate was not a part of the Bohr’s model of the atom?
a) Quantization of EMR
b) Quantization of an electron’s angular momentum
c) Quantization of an electron’s spin

d) Nuclear model of the atom
Schrodinger wave equation
16) Which of the following is the correct form of Schrodinger wave equation?
Ans: B
17) The Schrodinger wave equation is based on which nature of electron?
a) Wave
b) Particle
c) Atomic
d) Both a & b
18) Which quantum number is not obtained from the Schrodinger wave equation?
a) Principle quantum number
b) Azimuthal quantum number
c) Magnetic quantum number
d) Spin quantum number
19) Wave mechanics was given by _____ in 1926.
a) Heisenberg
b) Plank

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c) Schrodinger
d) None
20) Schrodinger wave equation is ______ order differential equation.
a) First
b) Second
c) Third
d) Zero
21) The concept of matter wave was suggested by_________
(a) Heisenberg
(b) de Broglie
(c ) Schrodinger
(d) Laplace
22) The intensity of the diffraction pattern is proportional to ______ of the wave
function
(a) forth power
(b) cube
(c ) sixth power
(d) square
23) The function representing matter waves must be ________
(a) complex
(b) real
(c ) zero
(d) infinity
24) The total probability of finding the particle in space must be __________
(a) zero
(b) unity

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(c ) infinity
(d) double
25) The normalized wave function must have ________ norm
(a) infinite
(b) zero
(c ) finite
(d) complex
26) The Non-normalized wave function must have ________ norm
(a) infinite
(b) zero
(c ) finite
(d) complex
27) For normalized wave function ψ→0 as r→___
(a) 0
(b)1
(c ) α
(d) -1
28) The square of the magnitude of the wave function is called_________
(a) current density
(b) probability density
(c ) zero density
(d) volume density
29) The operator ∇ is called _______ operator
(a) Hamiltonian

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(b) Laplacian
(c) Poisson
(d) vector
30) _________ principle states that the actual path taken by the light ray is one which
minimizes the integral
(a) Heisenberg
(b) Hamilton’s
(c ) Maupertuis’
(d) Fermat’s
31) Particle in a box can never be at rest.
a) True
b) False
Particle in a Box
32) For a particle inside a box, the potential is maximum at x = ___________
a) L
b) 2L
c) L/2
d) 3L
33) The Energy of the particle is proportional to __________
a) n
b) n-1
c) n2
d) n-2
34) The particle loses energy when it collides with the wall.
a) True
b) False
35) The wave function of the particle lies in which region?
a) x > 0
b) x < 0

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c) 0 < X < L
d) x > L
36) The walls of a particle in a box are supposed to be ____________
a) Small but infinitely hard
b) Infinitely large but soft
c) Soft and Small
d) Infinitely hard and infinitely large
Schrodinger Equation
37. Which function is considered independent of time to achieve the steady state form?
a) Ψ
b) dΨ/dt
c) d2Ψ/dx2
d) U
38. For 3-D system, the Schrödinger equation changes.
a) True
b) False
39) The values of Energy for which Schrodinger’s steady state equation can be solved is
called as _____________
a) Eigen Vectors
b) Eigen Values
c) Eigen Functions
d) Operators
40) Which quantity is said to be degenerate when HΨn= EnΨn?
a) Eigen Vectors
b) Eigen Values
c) Eigen Functions
d) Operators
41) Schrodinger Wave equation can be derived from Principles of Quantum Mechanics.
a) True
b) False
42) The Schrödinger is a differential equation.
a) True

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b) False
43) dΨ/dx must be zero.
a) True
b) False
43) Which of the following is not a characteristic of wave function?
a) Continuous
b) Single valued
c) Differentiable
d) Physically Significant
PhotoElectric Effect
44) The photoelectric emission could be explained by the ____________
a) Wave nature of light
b) Particle nature of light
c) Dual nature of light
d) Quantum nature
45) During Einstein’s Photoelectric Experiment, what changes are observed when the
frequency of the incident radiation is increased?
a) The value of saturation current increases
b) No effect
c) The value of stopping potential increases
d) The value of stopping potential decreases
46) Which of the following gases are filled inside the Photoelectric cells?
a) Carbon Dioxide
b) Nitrogen
c) Neon
d) Oxygen
47) On which part of the photoelectric cell does the radiation strikes?
a) Cathode
b) Anode
c) Ammeter
d) Radiation does not strike on the photoelectric cell

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Black Body Radiation
48) As the wavelength of the radiation decreases, the intensity of the black body radiations
____________
a) Increases
b) Decreases
c) First increases then decrease
d) First decreases then increase
49) The radiations emitted by hot bodies are called as ________________
a) X-rays
b) Black-body radiation
c) Gamma radiations
d) Visible light
50) An iron rod is heated. The colors at different temperatures are noted. Which of the
following colors shows that the iron rod is at the lowest temperature?
a) Red
b) Orange
c) White
d) Blue
51) A black body is defined as a perfect absorber of radiations. It may or may not be a
perfect emitter of radiations.
a) True
b) False
52) Electromagnetic wave theory of light could not explain Black Body radiations.
a) True
b) False
Compton Effect
53) What is Compton shift?
a) Shift in frequency
b) Shift in charges
c) Shift in radiation
d) Shift in wavelength

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54) Compton shift depends on which of the following?
a) Incident radiation
b) Nature of scattering substance
c) Angle of scattering
d) Amplitude of frequency
55) The energy distribution is not uniform for any given temperature in a perfect black
body.
a) True
b) False
Heisenberg Uncertainty Principle
56) Heisenberg gave his concept in
a) 1923
b) 1920
c) 1927
d) 1970
57) In Heisenberg's uncertainty equationΔx×Δp≥h4π;Δpstands for
a) Uncertainty in energy
b) Uncertainty in velocity
c) Uncertainty in momentum
d) Uncertainty in mass
de-Broglie Hypothesis
58) The de-Broglie wavelength ‘λ’ of a particle.
a) is proportional to mass
b) is proportional to impulse
c) is inversely proportional to impulse
d) does not depend on impulse

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59) Protons and alpha particles have the same de-Broglie wavelength. What is same for
both of them ?
(a) Energy
(b) Time period
(c) Frequency
(d) Momentum
60) Kinetic energy of emitted electrons depends upon :
(a) frequency
(b) intensity
(c) nature of atmosphere surrounding the electrons
(d) none of these

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