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Published on: 04/11/2019
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1.
The electric field at a point is
always continuous
continuous if there is no charge at that point
discontinuous only if there is a negative charge at that point
discontinuous if there is a charge at that point
2.
If \(\oint _{ s }^{ }{ E.ds } =0\) over a surface, then
the electric field inside the surface and on it is zero
the electric field inside the surface is necessarily uniorm
the number of flux lines entering the surface must be equal to the number of flux lines leaving it
all charges must necessarily be outside the surface
3.
A condenser is charged to double its initial potential. The energy stored in the condenser becomes x times, where x =
2
4
1
1/2
4.
Charge on a capacitor is doubled. Its capacity becomes k times, where
k = 2
k = 1
k = \(1\over 2\)
k = 4
5.
A 50Hz AC current of crest value 1A flows through the primary of a transformer. If the mutual inductance between the primary and secondary be 0.5 H, the creast voltage induced in the secondary is
75 V
150 V
100 V
none of these
6.
A conducting circuit loop is placed in a uniform magnetic field of induction B tesla with its plane normal to the field. Now, the radius of the loop starts sharinking at the rate dr/dt. The induced emf at the instant when the radius is R is:
\(\pi rB\left( \frac { dr }{ dt } \right) \)
\(2\pi rB\left( \frac { dr }{ dt } \right) \)
\(\pi r^{ 2 }\left( \frac { dr }{ dt } \right) \)
\(\left( \frac { \pi r^{ 2 } }{ 2 } \right) ^{ 2 }\left( \frac { dr }{ dt } \right) \)
7.
In a uniform magnetic field of induction B, a wire in the form of semicirclr of radius r rotates about the diameter of the circle with angulat frequency. The axis of rotation is perpendicular to the field. If the total resistance of the circuit is R, then the mean power generated per period of rotation is
\(\frac { B\pi { r }^{ 2 }\omega }{ 2R } \)
\(\frac { \left( B\pi { r }^{ 2 }\omega \right) ^{ 2 } }{ 8R } \)
\(\frac { \left( B\pi { r }\omega \right) ^{ 2 } }{ 2R } \)
\(\frac { \left( B\pi { r^{ 2 } }\omega \right) ^{ 2 } }{ 8R } \)
8.
A charged particle with charge q enters a region of constant, uniform and mutually orthogonal fields \(\vec { E } \quad and\quad \vec { B } \) with a velocity \(\vec { \upsilon } \) perpendicular to both \(\vec { E } \quad and\quad \vec { B } ,\) and comes out without any change in magnitude or direction of \(\vec { \upsilon } .\) Then
\(\vec { \upsilon } =\vec { B } \times \vec { E } /{ E }^{ 2 }\)
\(\vec { \upsilon } =\vec { E } \times \vec { B } /{ B }^{ 2 }\)
\(\vec { \upsilon } =\vec { B } \times \vec { E } /{ B }^{ 2 }\)
\(\vec { \upsilon } =\vec { E } \times \vec { B } /{ E }^{ 2 }\)
9.
A particle of mass m and charge q is accelerated through a potential difference V to a velocity \(\vec { \upsilon } \) towards south. The particle enters a region with both a magnetic field \(\vec { B } \) (pointing eastwards) and electric field \(\vec { E } \) (pointing downwards). The particle travels with a constant velocity through this region. The potential difference V through this region should be equal to
E/B
E/qB
2 mE/qB
\(m{ E }^{ 2 }/2q{ B }^{ 2 }\)
10.
A long straight wire of radius a carries a steady current i. The current is uniformly distributed across its cross-section. The ratio of the magnetic field at a/2 and 2 a is
1/2
1/4
4
1
11.
The distiction between conductors, insulators and semiconductors is largely connected with
the type of crystal lattice
binding energy of their electrons
relative width of their energy gap
their ability to conduct current
12.
The decimal equivalent of the binary number \((11010.101)_{ 2 }\) is
17+9.625
15+9.625
26+0.625
24+0.625
13.
For an LCR circuit, the power transferred from the driving source to the driven oscillator from the driving source tothe driven oscillator is P = I2Z cos \(\phi \).
Here, the power factor cos \(\phi \ge 0,\ P\ge 0\)
The driving force can given no energy to the oscillator (P = 0) in some cases
The driving force can not syphon out (P<0) the energy out of oscillator
The driving force can take away energy out of the oscillator
14.
Which of the following combinations should be selected for better tuning of an LCR circuit used for communication?
R = 20\(\Omega \), L = 1.5H, C = 35\(\mu\)F
R = 25\(\Omega \), L = 2.5H, C = 45\(\mu\)F
R = 15\(\Omega \), L = 3.5H, C = 30\(\mu\)F
R = 25\(\Omega \), L = 1.5H, C = 45\(\mu\)F
15.
To reduce the reasonant frequency in an LCR series circuit with a generator
the generator frequency should be reduced
another capacitor should be added in parallel to the first
the iron core of the inductor should be removed
dielectric in the capacitor should be removed
16.
In a common-emitter configuration, a transistor \(\beta =50\) and input resistance \(1k\ \Omega \) if the peak value of a.c.input is 0.01 V then the peak value of collector currents is
\(0.01\mu A\)
\(0.25\mu A\)
\(100 \ \mu A\)
\(10 \ \mu A\)
17.
An amplifier has a voltage gain \({ A }_{ v }=1000\). The voltage gain in \(db\) is
30 db
60 db
3 db
20 db
18.
An e.m.f. is produced in a coil, which is not connected to an external voltage source. This can be due to
the coil being in a time varying magnetic field
the coil moving in a time varying magnetic field
the coil moving in a constant magnetic field
the coil is stationary in external spatially varying magnetic field, which does not change with time
19.
A metal plate is getting heated. It can be because
a direct current is passing through the plate
it is placed in a time varying magnetic field
it is placed in a space varying magnetic field, but does not vary with time
a current is passing through the plate
20.
The current voltage relation of diode is given by \(I=(e^{ 1000V/T }-1)\) mA, where the applied V is n volts and the temperature T is in degree kelvin. If a students makes an error measuring \(\pm 0.01V\) while measuring the current of 5 mA at 300 K, what will be the error in the value of current in mA?
0.5 mA
0.05 mA
0.2 mA
0.02 mA
21.
When a momentum point source of light is at a distance of 0.2m front a photoelectric cell, the cutoff voltage and the saturation current are respectively 0.6V and 18.0 mA. If the same source is placed 0.6m away from the photoelectric cell, then
the stopping potential will be 0.2 volt
the stopping potential will be 0.6 volt
the saturation current will be 6.0 mA
the saturation current will be 2.0 mA
22.
An electron and proton have the same de-Broglie wavelength. The K.E of the electron is
zero
infinity
equal to K.E of the proton
greater than K.E. of proton
23.
What focal length should be reading spectacles have for a person whose near point is 50 cm?
25 cm
50 cm
-50 cm
-25 cm
24.
Mobilities of electrons and holes in a sample of intrinsic germanium at room temperature are \(0.36{ m }^{ 2 }{ v }^{ -1 }s^{ -1 } \ and \ 0.17 \ { m }^{ 2 }{ v }^{ -1 }s^{ -1 }\)The electron and hole densities are each equal to \(2.5 \times 10^{ 19 }m^{ -3 }\) .The electrical conductivity of germanium is
0.47 \(Sm^{ -1 }\)
1.09 \(Sm^{ -1 }\)
2.12 \(Sm^{ -1 }\)
4.24 \(Sm^{ -1 }\)
25.
A Ge specimen is doped with AI. The concentration of acceptor atoms is \(-10^{ 21 }\) atoms/\(m^{ 3 }\) , the concentration of electrons in the specimen is
\(10^{ 17 }/m^{ 3 }\)
\(10^{ 15 }/m^{ 3 }\)
\(10^{ 4 }/m^{ 3 }\)
\(10^{ 2 }/m^{ 3 }\)
26.
\({ \lambda }_{ e },{ \lambda }_{ p }\)and \({ \lambda }_{ \alpha }\)are the de-Broglie wavelengths of electron, proton and \(\alpha \) particle. If all are accelerated by potential, then
\({ \lambda }_{ e },{ <\lambda }_{ p }<{ \lambda }_{ \alpha }\)
\({ \lambda }_{ e },{ <\lambda }_{ p }>{ \lambda }_{ \alpha }\)
\({ \lambda }_{ e },{ >\lambda }_{ p }<{ \lambda }_{ \alpha }\)
\({ \lambda }_{ e },{ =\lambda }_{ p }>{ \lambda }_{ \alpha }\)
\({ \lambda }_{ e },{ >\lambda }_{ p }>{ \lambda }_{ \alpha }\)
27.
An electric field is applied to a semi-conductor Let the number of charge carriers be n and the average drift speed be v. If the temperature is increased
both n and v will decrease
both n and v will increase
n will increase but v will decrease
v will increase but n will decrease
28.
As the mass number 'A' increases, which of the following quantities related to nucleus do not change?
mass
volume
density
binding energy
29.
The de-Broglie wavelength of a particle moving with a velocity \(2.25\times { 10 }^{ 8 }m/s\)is equal to the wavelength of photon. The ratio of kinetic energy of a particle to the energy of the photon is (velocity of light is \(3\times { 10 }^{ 8 }m/s\))
1/8
3/8
5/8
7/8
30.
The kinetic energy of an electron gets quadrupled then the de-Broglie wavelength associated with it changes by the factor.
1/4
2
1/2
4
31.
A battery of 12V is connected to primary of a transformer with turns ratio ns/np= 10. Voltage across secondary would by
120 V
1.3 V
12 V
Zero
32.
The relation \(\frac { { E }_{ s } }{ { E }_{ p } } =\frac { { n }_{ s } }{ { n }_{ p } } \) is applied only to
a.c. generator
d.c. generator
induction coil
step up/step down transformer
33.
The value of absolute electrical permittivity of free space is
\(9\times 10^9Nm^2C^{-2}\)
\(9\times 10^{-9}Nm^2C^{-2}\)
\(8.85\times 10^{-12}C^2N^{-1}m^{-2}\)
\(8.85\times 10^{-12}C^2Nm^{-2}\)
34.
The cause of charging is actual transfer of protons
actual transfer of protons
actual transfer of electrons
actual transfer of neutrons
none of the above
35.
Which of the following is not an insulator?
glass
rubber
ebonite
human body
36.
A small link dot on a paper is seen through a glass slab of thickness 4 cm and refractive index 1.5. The dot appears to be raised by
1 cm
2 cm
3 cm
1.33 cm
37.
A long solenoid has n turns per metre and current I A is flowing through it. The magnetic field induction at the ends of the solenoid is
zero
\({ \mu }_{ o }nI/2\)
\({ \mu }_{ o }nI\)
\(2{ \mu }_{ o }NI\)
38.
A circular coil carrying current behaves as a
bar magnet
horse shoe magnet
magnetic shell
solenoid
39.
In single slit diffraction pattern, how does the width of central maximum change when light of smaller wavelength is used?
decreases
increases
remains unaffected
cannot be predicted
40.
A closed surface in vacuum encloses charges -q and +3q. Another charge -2q lies outside the surface. Total electric flux over the surface is
Zero
\(2 q\over \epsilon_o\)
\(-{3q\over \epsilon_o}\)
\(4q\over\epsilon_o\)
41.
A sodium lamp emits \(3.14\times { 10 }^{ 20 }\)photons per second. Calculate the distance from sodium lamp where flux of photon is one photon per second per cm2.
\({ 10 }^{ 10 }cm\)
\(5\times { 10 }^{ 9 }cm\)
\(5\times { 10 }^{ 8 }cm\)
\({ 10 }^{ 9 }cm\)
42.
The wavelength of a KeV photon is \(1.24\times { 10 }^{ -9 }m\). What is the frequency of 1 MeV photon?
\(1.24\times { 10 }^{ 15 }Hz\)
\(2.4\times { 10 }^{ 20 }Hz\)
\(1.24\times { 10 }^{ 18 }Hz\)
\(2.4\times { 10 }^{ 23 }Hz\)
43.
Which of the following cannot be polarized?
X-rays
radio waves
sound waves
light waves
44.
Polarizing angle for a medium is \(60°\) . Its refractive index is
1.732
1
1.414
2
45.
When an electric field is applied across a semiconductor
electrons move from lower energy level to higher energy level in the condition band
electrons move from higher energy level to lower energy level in the conduction band
holes in the valence band move from higher energy level to lower energy level
holes in the valence band move from lower energy level to higher energy level.
46.
Potential energy of an electric dipole held at an angle \(\theta\) in a uniform electric field is zero when \(\theta=\)
\(0^o\)
90o
180o
360o
47.
Electric dipole moment is
scalar
neither scalar vector
a vector directed from -q to +q
a vector directed from +q to -q
48.
Monochromatic light of frequency f1 incident on a photocell and the stopping potential is found to be V1. What is the new stopping potential of the cell if it radiated by monochromatic light of frequency f2?
\({ V }_{ 1 }-\frac { h }{ e } ({ f }_{ 2 }-{ f }_{ 1 })\)
\({ V }_{ 1 }+\frac { h }{ e } ({ f }_{ 2 }+{ f }_{ 1 })\)
\({ V }_{ 1 }-\frac { h }{ e } ({ f }_{ 2 }+{ f }_{ 1 })\)
\({ V }_{ 1 }+\frac { h }{ e } ({ f }_{ 2 }-{ f }_{ 1 })\)
49.
If \({ \lambda }_{ Cu }\) is the wavelength of \({ K }_{ \alpha }\) X-ray line of copper (atomic number 29) and \({ \lambda }_{ Mo }\) is the wavelength of the \({ K }_{ \alpha }\) X-ray line of molybdenum (atomic number 42), then the ratio \({ \lambda }_{ Cu }/{ \lambda }_{ Mo }\) is close to
1.99
2.14
0.50
0.48
50.
In a photoemissive cell, with exciting wavelength \(\lambda \)the fastest electron has speed v. If the exciting wavelength is changed to \(\frac { 3\lambda }{ 4 } \), the speed of the fastest electron will be
\(v{ \left( \frac { 3 }{ 4 } \right) }^{ 1/2 }\)
\(v{ \left( \frac { 4 }{ 3 } \right) }^{ 1/2 }\)
\(less than \ v{ \left( \frac { 3 }{ 4 } \right) }^{ 1/2 }\)
\(greater than \ v{ \left( \frac { 3 }{ 4 } \right) }^{ 1/2 }\)
51.
If K1 and K2 are maximum kinetic energies of photoelectrons emitted when light of wavelength \({ \lambda }_{ 1 }\)and \({ \lambda }_{ 2 }\)respectively are incident on a metallic surface.If \({ \lambda }_{ 1 }=3{ \lambda }_{ 2 }\)
\({ K }_{ 1 }>\left( \frac { { K }_{ 2 } }{ 3 } \right) \)
\({ K }_{ 1 }<\left( \frac { { K }_{ 2 } }{ 3 } \right) \)
\({ K }_{ 1 }={ 3K }_{ 2 }\)
\({ K }_{ 2 }={ 3K }_{ 1 }\)
52.
When a metallic is illuminated with radiation of wavelength \(\lambda \) , the stopping potential is V.If the same surface is illuminated with radiation of wavelength, \(2\lambda \) the stopping potential is V/4. The threshold wavelength for the metallic surface is
\(4\lambda \)
\(5\lambda \)
\(5\lambda /2\)
\(3\lambda \)
53.
Light of wavelength \(6000 \ \overset { \circ }{ A } \) falls on a plane reflecting surface. The reflected wavelength is
\(6000 \ \overset { \circ }{ A } \)
\(<6000 \ \overset { \circ }{ A } \)
\(>6000 \ \overset { \circ }{ A } \)
cannot say
54.
Image of an object in a concave mirror is
always real
always virtual
always erect
real or virtual depending on position of object
55.
The ratio of the speed of an object to the speed of its real image of magnification m in the case of a convex mirror is
\(-\frac { 1 }{ { m }^{ 2 } } \)
\({ m }^{ 2 }\)
-xm
\(\frac { 1 }{ { m } } \)
56.
For light diverging from a point source
The wavefront is spherical
The intensity decrease in proportion to the distance squared
The wavefront is parabolic
The intensity at the wavefront does not depend on the distance
57.
In a young's double slit experiment, the source is white light. One of the holes is covered by a red filter and another by a blue filter. In this case
There shall be alternate interference pattern of red and blue
There shall be alternate interference pattern of red distinct from that for blue
There shall be no interference fringes
There shall be alternate interference pattern of red mixing with one for blue
58.
The total energy of electron in the ground state of hydrogen atom is - 13.6 eV. The K.E. of this electron in first excited state is
6.8 eV
13.6 eV
1.7 eV
3.4 eV
59.
The transistor is operated in common emitter configuration at \(\mu A\) to 200 \(\mu A\) produces a change in the collector current from 5 mA to 10 mA. The current gain is
100
150
50
75
60.
Q factor of resonance is given by
\(\frac { 1 }{ R } \sqrt { \frac { L }{ C } } \)
\(\frac { 1 }{ R } \sqrt { \frac { C }{ L } } \)
\(\frac { 1 }{ L } \sqrt { \frac { R }{ C } } \)
\(\frac { 1 }{ C } \sqrt { \frac { L }{ R } } \)
61.
The electrical resistance of depletion layer is large because
it has no charge carriers
it has few holes as charge carriers
it contains few electrons as charge carriers
it contains few ions as charge carriers
62.
In the middle of the depletion layer of a review biased p-n junction, the
electric field is zero
potential is zero
electric field is maximum
potential is maximum
63.
If \({ m }_{ e }\)is mass of an electron, then mass of pion plus particle if
207\({ m }_{ e }\)
273\({ m }_{ e }\)
\(\frac { { m }_{ e } }{ 207 } \)
\(\frac { { m }_{ e } }{ 273 } \)
64.
Which of the following communication system has maximum band width?
Optical fibre communication
Skywave communication
Line communication
Statellite communication
65.
From which layer of atmosphere, the radiowaves are reflected?
Ionosphere
Chromosphere
Mesosphere
None
66.
Minimum number of geostationary satellites needed for satellite communication is
1
2
3
4
67.
Which of the following is not an electromagnetic wave?
X-rays
UV rays
sound waves
radio waves
68.
Which of the following maxwell equation have a source of \(\overset { \rightarrow }{ E } \) and \(\overset { \rightarrow }{ B } \) ?
\(\oint { \overset { \rightarrow }{ E } .\overset { \rightarrow }{ ds } } =\frac { q }{ { \epsilon }_{ 0 } } \)
\(\oint { \overset { \rightarrow }{ B } .\overset { \rightarrow }{ dl } } ={ \mu }_{ 0 }l+{ \mu }_{ 0 }{ \epsilon }_{ 0 }\frac { d }{ dt } \oint { \overset { \rightarrow }{ E } .\overset { \rightarrow }{ ds } } \)
\(\oint { \overset { \rightarrow }{ E } .\overset { \rightarrow }{ dl } } =-\frac { d }{ dt } \oint { \overset { \rightarrow }{ B } .\overset { \rightarrow }{ ds } } \)
\(\oint { \overset { \rightarrow }{ B } .\overset { \rightarrow }{ ds } } =0\)
69.
The conduction band in a solid is partially filled at 0 k. The solid sample is
Conductor
Semiconductor
Insulator
none of these
70.
If \({ u }_{ E },{ u }_{ m }\) are the energy density of electromagnetic wave due to electric and magnetic field vectors, \({ E }_{ rms },{ B }_{ rms }\) are the rms value of electric and magnetic field vectors in an electromagnetic wave. then the total energy density of a sinusoidal electromagnetic wave is
\({ u }_{ E }\)
\({ u }_{ E }{ +u }_{ m }\)
\(\frac { 1 }{ 2 } { \epsilon }_{ 0 }{ E }_{ rms }^{ 2 }+\frac { { E }_{ rms }^{ 2 } }{ { 2\mu }_{ 0 } } \)
\(\frac { 1 }{ 2 } { \epsilon }_{ 0 }{ E }_{ 0 }^{ 2 }+\frac { 1 }{ 2 } \frac { { E }_{ 0 }^{ 2 } }{ { \mu }_{ 0 } } \)
71.
Two photons, each of energy 2.5eV are simultaneously incident on the metal surface. If the work function of the metal is 4.5eV, then from the surface of metal
one electron will be emitted with energy 0.5eV
two electrons will be emitted with energy 0.25eV
more than two electrons will be emitted
not a single electron will be emitted.
72.
A device that connects one computer to another across ordinary telephone lines is called
transducer
fax
modem
none of the above
73.
If \(\lambda \) is wavelength of radio signals to be transmitted, then the length of Hertz antenna is
\(\lambda \)
\(\frac { \lambda }{ 4 } \)
\(\frac { \lambda }{ 2 } \)
\(2\lambda\)
74.
The audible range of frequencies is
20 kHz to 20 MHz
20 Hz to 20 kHz
20 Hz to 20 MHz
none of the above
75.
The disturbance or distortion in the transmission and processing of message signals is called
noise
attenuation
interference
none of these
76.
The correct option if in vacuum the speed of gamma rays, x-rays and microwaves are \({ v }_{ g }, \ { v }_{ x }and \ { v }_{ m }\)
\({ v }_{ g }<{ v }_{ x }<{ v }_{ m }\)
\({ v }_{ g }<{ v }_{ x }>{ v }_{ m }\)
\({ v }_{ g }>{ v }_{ x }>{ v }_{ m }\)
\({ v }_{ g }={ v }_{ x }={ v }_{ m }\)
77.
A red LED emits light of 0.1 watts uniformly around it. The amplitude of the electric field of the light at a distance of 1 m from the diode is
1.73 V/m
2.45 V/m
5.48 V/m
7.75 V/m
78.
An electromagnetic wave in a vacuum has the electric and magnetic field \(\overset { \rightarrow }{ E } \) and \(\overset { \rightarrow }{ B } \). which are always perpendicular to each other. The direction of polarization is given by \(\overset { \rightarrow }{ X } \) and that of wave propagation by \(\overset { \rightarrow }{ K } \) . Then:
\(\overset { \rightarrow }{ X } \parallel \overset { \rightarrow }{ B } \ and \ \overset { \rightarrow }{ K } \parallel \overset { \rightarrow }{ B } \times \overset { \rightarrow }{ E } \)
\(\overset { \rightarrow }{ X } \parallel \overset { \rightarrow }{ E } \ and \ \overset { \rightarrow }{ K } \parallel \overset { \rightarrow }{ E } \times \overset { \rightarrow }{ B } \)
\(\overset { \rightarrow }{ X } \parallel \overset { \rightarrow }{ B } \ and \ \overset { \rightarrow }{ K } \parallel \overset { \rightarrow }{ E } \times \overset { \rightarrow }{ B } \)
\(\overset { \rightarrow }{ X } \parallel \overset { \rightarrow }{ E } \ and \ \overset { \rightarrow }{ K } \parallel \overset { \rightarrow }{ B } \times \overset { \rightarrow }{ E } \)
79.
In an electromagnetic wave, electric and magnetic fields are 200 V/m and 0.365 A/m. The maximum rate of energy flow is
\(73.0 \ W/{ m }^{ 2 }\)
\(36.5 \ W/{ m }^{ 2 }\)
\(54.7 \ W{ /m }^{ 2 }\)
\(77.8 \ W/{ m }^{ 2 }\)
80.
The refractive index and the permeability of a medium are respectively 1.5 and \(5\times { 10 }^{ -7 }H{ m }^{ -1 }\). The relative permittivity of the medium is nearly
25
15
81
10
6
81.
When number of turns of a soleniod is doubled, its self inductance becomes k times, where k =
2
1
8
4
82.
Which one is not an application of eddy currents?
Magnetic brakes
speedometers
Induction furnace
Transformers
83.
In the relation \(\phi \) = BA cos \(\theta \), \(\theta \) is angle........
which normal to surface area makes with the direction of magnetic field
which magnetic field makes with the surface
which is never constant
none of the above
84.
A charged particle oscillates about its mean equilibrium position with a frequency of 109 Hz. What is the frequency of electromagnetic waves produced by the oscillator?
will have frequency of 109 Hz
will have frequency of 2 x 109 Hz
will have a wavelength of 0.3 m
fall in the region of radiowaves
85.
The velocity of light in vacuum can be changed by changing
frequency
amplitude
wavelength
none of these
86.
An electron (mass m) with an initial velocity \(v={ v }_{ 0 }\vec { i } \) is in an electric field \(E={ E }_{ 0 }\vec { j } E={ E }_{ 0 }\vec { j } \) . If \(\lambda =\frac { h }{ m{ v }_{ 0 } } \) its de-Broglie wavelength at time t is given by
\({ \lambda }_{ 0 }\)
\({ \lambda }_{ 0 }\sqrt { 1+\frac { { e }^{ 2 }{ E }_{ 0 }^{ 2 }\quad { t }^{ 2 } }{ { m }^{ 2 }{ v }_{ 0 }^{ 2 } } } \)
\(\frac { { \lambda }_{ 0 } }{ \sqrt { 1+\frac { { e }^{ 2 }{ E }^{ 2 }{ t }^{ 2 } }{ { m }^{ 2 }{ { v }_{ 0 }^{ 2 } } } } } \)
\(\frac { { \lambda }_{ 0 } }{ \sqrt { 1+\frac { { e }^{ 2 }{ E }^{ 2 }{ t }^{ 2 } }{ { m }^{ 2 }{ { v }_{ 0 }^{ 2 } } } } } \)
87.
Identify the mathematical expression for amplitude modulated wave:
\({ A }_{ c }sin\left[ { { \omega }_{ c }+{ k }_{ 1 }{ v }_{ m }\left( t) \right] t+\phi } \right] \)
\({ A }_{ c }sin\left[ { { \omega }_{ c }t+{ \phi +k }_{ 2 }{ v }_{ m }(t) } \right] \)
\([\{ { A }_{ c }+{ k }_{ 2 }{ v }_{ m }(t)\} sin\left( { \omega }_{ c }t+\phi \right) ]\)
\({ A }_{ c }{ v }_{ m }(t)sin\left( { \omega }_{ c }t+\phi \right) \)
88.
\(I-V\)characteristics of four devices are shown in Fig.
-Q.png)
Identify devices that can be used for modulation:
'i' and 'iii'
only 'iii'
'ii' and some regions of 'iv'
All the devices can be used
89.
The Bohr model for the spectre of a H-atom
will not be applicable to hydrogen in the molecular form
will not be applicable as it is for a He-atom
is valid only at room temperature
predicts continuous as well as discrete spectral lines
90.
O2 molecule consists of two oxygen atoms.In the molecule, nuclear force between the nuclei of the two atoms
is not important because nuclear forces are short-ranged
is as important as electrostatic force for binding the two atoms
cancels the repulsive electrostatic force between the nuclei
is not important because oxygen nucleus have equal number of neutrons and protons.
91.
A plane electromagnetic wave propagating along \(x\)direction can have the following Paris of E and B:
\({ E }_{ x }.B_{ Y }\)
\({ E }_{ y }.B_{ z }\)
\({ B }_{ x }.E_{ y }\)
\({ E }_{ x }.B_{ y }\)
1.
(b)
continuous if there is no charge at that point
2.
(c)
the number of flux lines entering the surface must be equal to the number of flux lines leaving it
3.
(b)
4
4.
(b)
k = 1
5.
(c)
100 V
6.
(b)
\(2\pi rB\left( \frac { dr }{ dt } \right) \)
7.
(d)
\(\frac { \left( B\pi { r^{ 2 } }\omega \right) ^{ 2 } }{ 8R } \)
8.
(b)
\(\vec { \upsilon } =\vec { E } \times \vec { B } /{ B }^{ 2 }\)
9.
(d)
\(m{ E }^{ 2 }/2q{ B }^{ 2 }\)
10.
(d)
1
11.
(d)
their ability to conduct current
12.
(a)
17+9.625
13.
(b)
The driving force can given no energy to the oscillator (P = 0) in some cases
14.
(c)
R = 15\(\Omega \), L = 3.5H, C = 30\(\mu\)F
15.
(b)
another capacitor should be added in parallel to the first
16.
(d)
\(10 \ \mu A\)
17.
(b)
60 db
18.
(b)
the coil moving in a time varying magnetic field
19.
(a)
a direct current is passing through the plate
20.
(c)
0.2 mA
21.
(b)
the stopping potential will be 0.6 volt
22.
23.
(b)
50 cm
24.
(c)
2.12 \(Sm^{ -1 }\)
25.
(a)
\(10^{ 17 }/m^{ 3 }\)
26.
(e)
\({ \lambda }_{ e },{ >\lambda }_{ p }>{ \lambda }_{ \alpha }\)
27.
(c)
n will increase but v will decrease
28.
(c)
density
29.
(b)
3/8
30.
(c)
1/2
31.
(d)
Zero
32.
(d)
step up/step down transformer
33.
(c)
\(8.85\times 10^{-12}C^2N^{-1}m^{-2}\)
34.
(b)
actual transfer of electrons
35.
(d)
human body
36.
(d)
1.33 cm
37.
(b)
\({ \mu }_{ o }nI/2\)
38.
(c)
magnetic shell
39.
(a)
decreases
40.
(b)
\(2 q\over \epsilon_o\)
41.
(b)
\(5\times { 10 }^{ 9 }cm\)
42.
(b)
\(2.4\times { 10 }^{ 20 }Hz\)
43.
(c)
sound waves
44.
(a)
1.732
45.
(a)
electrons move from lower energy level to higher energy level in the condition band
46.
(b)
90o
47.
(c)
a vector directed from -q to +q
48.
(d)
\({ V }_{ 1 }+\frac { h }{ e } ({ f }_{ 2 }-{ f }_{ 1 })\)
49.
(b)
2.14
50.
(d)
\(greater than \ v{ \left( \frac { 3 }{ 4 } \right) }^{ 1/2 }\)
51.
(b)
\({ K }_{ 1 }<\left( \frac { { K }_{ 2 } }{ 3 } \right) \)
52.
(a)
\(4\lambda \)
53.
(a)
\(6000 \ \overset { \circ }{ A } \)
54.
(d)
real or virtual depending on position of object
55.
(a)
\(-\frac { 1 }{ { m }^{ 2 } } \)
56.
(a)
The wavefront is spherical
57.
(c)
There shall be no interference fringes
58.
(d)
3.4 eV
59.
(b)
150
60.
(a)
\(\frac { 1 }{ R } \sqrt { \frac { L }{ C } } \)
61.
(a)
it has no charge carriers
62.
(a)
electric field is zero
63.
(b)
273\({ m }_{ e }\)
64.
(a)
Optical fibre communication
65.
(a)
Ionosphere
66.
(c)
3
67.
(c)
sound waves
68.
(a)
\(\oint { \overset { \rightarrow }{ E } .\overset { \rightarrow }{ ds } } =\frac { q }{ { \epsilon }_{ 0 } } \)
69.
Conductor
70.
(b)
\({ u }_{ E }{ +u }_{ m }\)
71.
(d)
not a single electron will be emitted.
72.
(c)
modem
73.
(c)
\(\frac { \lambda }{ 2 } \)
74.
(b)
20 Hz to 20 kHz
75.
(a)
noise
76.
(d)
\({ v }_{ g }={ v }_{ x }={ v }_{ m }\)
77.
(b)
2.45 V/m
78.
(c)
\(\overset { \rightarrow }{ X } \parallel \overset { \rightarrow }{ B } \ and \ \overset { \rightarrow }{ K } \parallel \overset { \rightarrow }{ E } \times \overset { \rightarrow }{ B } \)
79.
(a)
\(73.0 \ W/{ m }^{ 2 }\)
80.
(e)
6
81.
(d)
4
82.
(d)
Transformers
83.
(a)
which normal to surface area makes with the direction of magnetic field
84.
(a)
will have frequency of 109 Hz
85.
(d)
none of these
86.
(c)
\(\frac { { \lambda }_{ 0 } }{ \sqrt { 1+\frac { { e }^{ 2 }{ E }^{ 2 }{ t }^{ 2 } }{ { m }^{ 2 }{ { v }_{ 0 }^{ 2 } } } } } \)
87.
(c)
\([\{ { A }_{ c }+{ k }_{ 2 }{ v }_{ m }(t)\} sin\left( { \omega }_{ c }t+\phi \right) ]\)
88.
(c)
'ii' and some regions of 'iv'
89.
(b)
will not be applicable as it is for a He-atom
90.
(a)
is not important because nuclear forces are short-ranged
91.
(b)
\({ E }_{ y }.B_{ z }\)
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