WorksheetsEngineering Physics Quiz
Total questions: 150
Worksheet time: 50mins
The concept of matter wave was suggested by
Heisenberg
De Broglie
Schrödinger
Laplace
The total probability of finding the particle in space must be
Zero
Unity
Infinity
Double
The square of the magnitude of the wave function is called
Current density
Zero density
Probability density
Volume density
The function representing matter waves must be
Complex
Real
zero
Infinity
Calculate the Zero-point energy for a particle in an infinite potential well for an electron confined to a 1 nm atom.
3.9 X 10-29 J
4.9 X 10-29 J
5.9 X 10-29 J
6.9 X 10-29 J
The walls of a particle in a box are supposed to be
Small but infinitely hard
Infinitely large but soft
Soft and Small
Infinitely hard and infinitely large
The uncertainty in the location of a particle is equal to its de Broglie wavelength then uncertainty in its velocity will be
Its velocity
half of its velocity
Twice its velocity
Four times of its velocity
Uncertainty principle states that the error in measurement is due to
dual nature of particles
due to small size of particles
due to large size of particles
due to error in measuring instruments
The uncertainty in the location of a particle is equal to its de-broglie wavelength, then uncertainty in its velocity will be
its velocity
half of its velocity
twice its velocity
four times of its velocity
The uncertainty relation cannot hold for the following pairs
position and momentum
energy and time
linear momentum and angle
angular momentum and angle
The equation of motion of matter waves was derived by
Heisenberg
de- Broglie
Schrödinger
Bohr
Matter waves are
Elastic waves
Electromagnetic waves
show diffraction
transverse waves
If the momentum of a particle is increased to four times, then the de-Broglie wavelength will become
two times
four times
half times
one fourth times
The wavelength of the matter waves is independent of
mass
velocity
charge
momentum
Matter waves are first experimentally observed by
de-Broglie
Schrödinger
Davisson and Germer
Bohr
Which of the following can act as both a particle and as a wave?
photon
electron
neutron
all of these
The wave function of the particle lies in which region?
x > 0
x < 0
0 < X < L
x > L
For a particle inside a box, the potential is maximum at x =
L
2L
L/2
3L
For a quantum wave particle, E =
ℏ k
ℏ ω
ℏ ω/2
ℏ k/2
Schrodinger Wave equation can be derived from Principles of Quantum Mechanics.
True
False
Which of the following can be a wave function?
tan x
sin x
cot x
sec x
Which of the following is not a characteristic of wave function?
Continuous
Single valued
Differentiable
Physically Significant
dΨ/dx must be zero.
True
False
Any wave function can be written as a linear combination of
Eigen Vectors
Eigen Values
Eigen Functions
Operators
For 3-D system, the Schrödinger equation changes.
True
False
What is the most fundamental property of wave?
Temperature
Pressure
Frequency
Wavelength
The Schrodinger wave equation is
Linear
Quadratic
Differential equation
Derivable
Two solutions of Schrodinger Wave equation obey Superposition principle.
True
False
De Broglie wavelength of an electron which has been accelerated from rest through a potential difference of 100 V is
12.27 Å
1.227 Å
15 Å
1.5 Å
A proton with energy of 2.05 MeV has a de Broglie wavelength of
An electron is in a box of 2 nm. What will be the lowest energy for the electron?
0.01 eV
0.08375 eV
0.2 eV
1.5 eV
Calculate the de-Broglie wavelength of neutron of energy 28.8 eV.
An electron is confined to a box of length 1.1 ×10-8 m. What is the minimum uncertainty in its velocity?
Which phenomena from the following is showing particle nature:
Interference
Diffraction
Polarization
Photoelectric
The relation provided by de-Broglie was:
λ = h/p
λ = h/mv
both a and b
None of these
The expression for group velocity is:
dω/dk
v λ
ω/k
None
Which expression is used to show that phase velocity[vp] exceeds the speed of light[c]:
vp = c^2/v
vp = c^2/v
vp = 2c^2
vp = 4c^2
The group velocity is: [for relativistic]
Equal to particle velocity(vp)
Greater than v
Low than v
Can’t be said
For a non-relativistic free particle:
vp = vg/2
vg = vp/2
vp = 2c
vg = h^2/m
In case of a dispersive medium:
Vg is less than vp
Vg is greater than vp
Can’t be said
May be same
For which pair Heisenberg’s principle acts:
Position and momentum
Energy and time
Orbital angular momentum and angular position
All
What is the minimum Energy possessed by the particle in a box?
Zero
π^2 ℏ^2/2mL^2
π^2 ℏ^2/2mL
π^2 ℏ/2mL
Operator of momentum is given as:
Operator of energy is given as:
The particle with wave function Ae^kx + Be^-kx represents ____________
Oscillating particle
Moving Particle
Probable Particle
No such wave function
Quantum Numbers are solutions of _____________
Heisenberg’s Uncertainty Principle
Einstein’s mass energy relation
Schrodinger’s Wave Equation
Hamiltonian Operator
If Ψ is the wave function, the probability density function is given by _____________
|Ψ|
|Ψ|^2
|Ψ|^3
|Ψ|^4
A photon and an electron have the same wavelength then
photon has greater momentum
electron has greater momentum
both have same momentum
none of the above
The rest mass of a photon is
zero
infinity
9.1 × 10-31 kg
9.1 × 10^31 kg
Assuming the velocity to be same, which particle is having the longest wavelength
an electron
a proton
a neutron
an α particle
A wavefunction ψ is normalized, if
∫ψψ* dV= ∞
∫ψψ* dV= 0
∫ψψ* dV= 1
∫ψψ* dV= V
The idea of secondary wavelets for the propagation of a wave was first given by
Newton
Huygens
Maxwell
Fresnel
Light propagates rectilinearly, due to
wave nature
wavelengths
velocity
frequency
When interference of light takes place
energy is created in the region of maximum intensity
energy is destroyed in the region of maximum intensity
conservation of energy holds good and energy is redistributed
conservation of energy does not hold good
To observe diffraction, the size of the obstacle
should be X/2, where X is the wavelength.
should be of the order of wavelength.
has no relation to wavelength.
should be much larger than the wavelength.
For light diverging from a point source
the wavefront is spherical.
the intensity increases in proportion to the distance squared.
the wavefront is parabolic.
the intensity at the wavefront does not depend on the distance.
The locus of all particles in a medium, vibrating in the same phase is called
wavelet
fringe
wave front
None of these
The device which produces highly coherent sources is
Fresnel biprism
Young’s double slit
Laser
Lloyd’s mirror
When a film is illuminated by white light, its upper portion appears dark. Path difference between two reflected beams at the spot must be
zero
λ/2
2 λ/2
π
Coherence is a measure of
capability of producing interference by wave
waves being diffracted
waves being reflected
waves being refracted
Intensity of light depends on
amplitude
frequency
wavelength
velocity
The colour of bright fringe nearest to central achromatic fringe in the interference pattern with white light will be
violet
red
green
yellow
Laser light is considered to be coherent because it consists of
many wavelengths
uncoordinated wavelengths
coordinated waves of exactly the same wavelength
divergent beam
Which of the following is not essential for two sources of light in Young’s double slit experiment to produce a sustained interference?
Equal wavelength
Equal intensity
Constant phase relationship
Equal frequency
When monochromatic light is replaced by white light in Fresnel’s biprism arrangement, the central fringe is
coloured
white
dark
None of these
The phenomenon of diffraction can be treated as interference phenomenon if the number of coherent sources is
one
two
zero
infinity
Two waves having their intensities in the ratio 9 : 1 produce interference. In the interference pattern the ratio of maximum to minimum intensity is equal to
2 : 1
9 : 1
3 : 1
4 : 1
Interference occurs in:
Longitudinal waves only
Transverse waves only
Electromagnetic waves only
All above waves
Newton’s rings are :
Locus of points of equal thickness
Locus of points of equal inclination
Locus of points of equal thickness and or equal inclination
Neither (a) nor (b)
In interference with two coherent sources, the fringe width varies:
Directly as wavelength
Inversely as wavelength
Directly as the separation between slits
Inversely as the distance between the slits and screen.
In Newton’s ring experiment, circular rings are formed
by division of amplitude
by division of wavelength
by diffraction
by polarization
In Newton’s ring experiment, the expression for the measurement of wavelength is
λ= D^2 n+p - D^2 n/4R
λ= D^2 n+p - D^2 n/4pR
λ= D^2 n+p - D^2 n*4pR
λ= 4R/ D^2 n+p - D^2 n
Diffraction of light is observed when the size of the obstacle is
very large
very small
howsoever large or small
comparable with the wavelength of light
Two waves having their intensities in the ratio 9 : 1 produce interference. In the interference pattern the ratio of maximum to minimum intensity is equal to
2 : 1
9 : 1
3 : 1
4 : 1
Two beams interfere have their amplitudes ratio 2 : 1. Then the intensity ratio of bright and dark fringes is
2 : 1
1 : 2
9 : 1
4 : 1
In interference of light which of the following statement is correct :
There is redistribution of light energy at the point of superposition.
There is addition and cancellation of light energy at the point of superposition.
There is reflection and refraction of light energy at the point of superposition.
None of these
Condition of destructive interference is :
Path difference is even multiple of
Path difference is odd multiple of
Path difference is integral multiple of
None of the above
In Netwon’s rings, interference is due to light rays reflected from
lower surface of lens and upper surface of glass plate.
lower surface of glass plate and upper surface of lens.
lower surface of lens and lower surface of glass plate.
upper surface of lens and upper surface of glass plate
In reflected light the central fringe of Newton’s ring is
dark
non-uniform
bright
none of them
In Newton’s ring experiment, the diameter of bright rings is proportional to
odd natural numbers
natural numbers
even natural numbers
square root of natural numbers
Extended source is needed in
Young’s double slit experiment
Biprism experiment
Newton’s ring experiment
none of them
In transmitted light the central fringe of Newton’s ring is
dark
non-uniform
bright
none of them.
Which of the following are coherent sources ?
A 60 W and A 100 W bulbs
Two bulbs each of 60 W
Two halves of a 60 W bulbs
The virtual sources obtained by a biprism
In Newton’s rings experiment, bright and dark rings are obtained using sodium light. If the entire set-up is dipped into water the diameters of rings _______.
increases
decreases
remains unchanged
fringe pattern disappears
In Young’s double slit experiment, if the monochromatic source of yellow light is replaced by red light. The fringe width
increases
decreases
unchanged
the fringes disappear
Which will most likely occur when light passes through a double slit
Interference only
reflection
diffraction only
diffraction and interference both
In transmitted system the centre of the Newtons’s ring appears.
Dark
Bright
White
None of the above.
Maximum number of orders available with a grating is
directly proportional to the wavelength
inversely proportional to the grating element
independent of grating element
directly proportional to the grating element.
In a plane transmission grating, as the number of slits increased, the maxima become
less brighter and much narrower
less brighter and less narrower
much brighter and less narrower
much brighter and much narrower
In a plane transmission grating, the intensity of principal maximum
increases as the number of slits increases.
decreases as the number of slits increases.
remains constant as the number of slits increases.
none of these
In a plane diffraction grating, the angle of diffraction is
directly proportional to the wavelength.
inversely proportional to the wavelength.
directly proportional to the square root of the wavelength.
inversely proportional to the square root of the wavelength
The retina of the eye is sensitive only to colours in the visible region, i.e. wavelengths lying between?
3900 Å and 7800 Å
900 Å and 1800 Å
1900 Å and 3800 Å
7900 Å and 9900 Å
The path difference between two interfering waves at a point on a screen is two times the wavelength. The point is
bright
dark
neither dark nor bright
nothing can be said
The interference fringes formed by a thin film on water are seen in yellow light. We find the fringes
White and dark
Coloured
Bright yellow and dark
Coloured with yellow absent
In single slit diffraction the width of the central maximum is greatest for the colour
red
yellow
violet
green
The single slit diffraction arrangement is completely immersed in water. The fringe system
expands
contracts
remains same
disappears
A crystalline solid:
changes abruptly from solid to liquid when heated.
has no definite melting point.
undergoes deformation of its geometry easily
has irregular 3-dimensional arrangements.
When do ionic compounds conduct electricity?
In gaseous state
In solid state
When dissolved in water
They never conduct
Which of the following covalent compounds conduct electricity?
Silica
Graphite
Diamond
Hydrogen chloride
A n-type semiconductor is
negatively charged.
positively charged.
neutral.
none of these
At absolute zero, Si acts as a
metal
semiconductor
insulator
none of these
In good conductors of electricity the type of bonding that exist is
Van der Walls
covalent
ionic
metallic
In an n-type silicon, which of the following statements is true.
Electrons are majority carriers and trivalent atoms are the dopants’
Electrons are minority carriers and pentavalent atoms are the dopants.
Holes are minority carriers and pentavalent atoms are the dopants.
Holes are majority carriers and trivalent atoms are the dopants.
If a small amount of antimony is added to germanium crystal
its resistance is increased
it becomes a p-type semiconductor
there will be more free electrons than holes in the semiconductor.
none of these.
In an unbiased p-n junction, holes diffuse from the p-region to n-region because
free electrons in the n-region attract them
they move across the junction by the potential difference
hole concentration in p-region is more as compared to n-region.
all of these
Region without free electrons and holes in a p-n junction is
n-region
p-region
depletion region
none of these
Which of the following statements is incorrect for the depletion region of a diode?
There the mobile charges exist.
Equal number of holes and electrons exist, making the region neutral.
Recombination of holes and electrons has taken place.
None of these
Potential barrier developed in a junction diode opposes the flow of
minority carrier in both regions only
majority carriers only
electrons in p region
holes in p region
If in a n-type semiconductor when all donor states are filled, then the net charge density in the donor states becomes
1
> 1
< 1, but not zero
zero
What happens during regulation action of a Zener diode?
The current in and voltage across the Zener remains fixed.
The current through the series resistance (R s) does not change.
The Zener resistance is constant.
The resistance offered by the Zener changes.
Silicon is a semiconductor. If a small amount of As is added to it, then its electrical conductivity (a) .
When the electrical conductivity of a semiconductor is due to the breaking of its covalent bonds, then the semiconductor is said to be (a) .
Semiconductor acts as an insulator in the presence of impurities.
True
False
How is the resistance of semiconductor classified?
High resistance
Positive temperature co-efficient
Negative temperature co-efficient
Low resistance
What are the charge carriers in semiconductors?
Electrons and holes
Electrons
Holes
Charges
Which of the following is known as indirect band gap semiconductors?
Germanium
Nickel
Platinum
Carbon
Which column elements are combined to make compound semiconductors?
First and fourth
Fifth and sixth
Second and fourth
Third and fifth
Compound semiconductors are also known as direct band gap semiconductors.
True
False
How are charge carriers produced in intrinsic semiconductors?
By pure atoms
By electrons
By impure atoms
By holes
What type of material is obtained when an intrinsic semiconductor is doped with pentavalent impurity?
N-type semiconductor
Extrinsic semiconductor
P-type semiconductor
Insulator
What type of material is obtained when an intrinsic semiconductor is doped with trivalent impurity?
Extrinsic semiconductor
Insulator
N-type semiconductor
P-type semiconductor
Which method can be used to distinguish between the two types of carriers?
Hall effect
Rayleigh method
Doppler effect
Fermi effect
What is the Fermi energy of a n-type semiconductor?
E
E (F) = (E c + E v)/2
E F = (E c + E d)/2
E F = (E v + E a)/2
For semiconductors, the resistivity is inversely proportional to the temperature for semiconducting materials.
True
False
What are the current carriers in semiconductors?
Electrons and Protons
Electrons and Nucleons
Electrons and Photons
Electrons and Holes
Holes are the majority carries in Intrinsic Semiconductors.
True
False
An n type germanium sample has a donor density of 10^21 /m^3. It is arranged in a Hall experiment having magnetic field of 0.5 T and the current density is 500 A/m^2. Find the Hall voltage if the sample is 3mm wide.
A current of 1μA flows in a copper strip of length 10 cm and width 5 cm along its length. The strip is placed in a magnetic field of strength 3×10^-6 weber/m^2 perpendicular to its length. If R_H = 0.55×10^10 volt-m / ampere weber, find the Hall voltage developed in it.
The Hall voltage is directly proportional to
current
electric field
magnetic flux density
all of above
Electric field strength related to hall voltage is given by
V_H d
V_H /d
V_H E
Ed
The Hall probe is made up of
metals
non metals
semiconductor
radioactive material
In Hall effect, the voltage across the probe is known as
hall voltage
emf
potential difference
none of above
When the pn junction is forward biased the sequence of events that take place are
diffusion, drift and recombination.
injection, diffusion and recombination.
diffusion, injection and drift.
none of above.
The depletion region of a pn junction is one, that is depleted of
atoms.
mobiles charges.
immobile charges.
velocity of the carriers.
The depletion region within a pn junction is reduced when the junction has:
zero bias.
forward bias.
reverse bias.
all of these.
A silicon pn junction in forward condition has a voltage drop closer to
0.1 V.
0.7 V.
1.7 V.
2.1 V.
The reverse saturation electric current of a pn junction varies with temperature (T) as
T.
1 / T.
independent of T.
T^2.
The arrow direction in diode symbol indicates
direction of electron flow.
direction of hole flow.
opposite to the direction of hole flow.
none of these.
The knee voltage (cut in voltage) of silicon diode
0.2 V.
0.7 V.
0.8 V.
1.0 V.
When the diode is forward biased, it is equivalent to
an off switch.
an on switch.
a high resistance.
none of the above.
Avalanche breakdown in a diode occurs when
potential barrier is reduced to zero.
forward electric current exceeds certain value.
reverse bias exceeds a certain value.
none of the above.
In what state is a silicon diode if the voltage drop across it is about 0.7 V?
No bias
Forward bias
Reverse bias
Zener region
One that is based on forward biased PN junction is
photo diode
LED
photo voltaic cell
both a and b
The diode characteristic curve is a plot between
current and time
voltage and time
voltage and current
both a and b
Photo diode is used for the detection of
visible light
invisible light
no light
both a and b
What is true about the breakdown voltage in a zener diode?
It decreases when electric current increases.
It destroys the diode.
It equals the electric current times the resistance.
It is approximately constant.
Which of these is the best description of a zener diode?
It is a rectifier diode.
It is a constant voltage device.
It is a constant electric current device.
It works in the forward region.
The voltage across the zener resistance is usually
small.
large.
measured in volts.
subtracted from the breakdown voltage.
An ideal voltage regulator has a voltage regulation of
1.
100.
50.
0.
Hall coefficient for n type semiconductor is given by
R_H = -1/ne
R_H = 1/ne
R_H = -ne
R_H = Jne
