Current Electricity
Q.1 A cell if enf 1,5 V gives a currernt of 15 A when connected directly to
an ammter of 004 W resistance. The internal
resistance of the cell is :
(a) 0.04 W
(b) 0.06 W (c) 0.1 W (d) 1. 0 W
Q.2 A current of 2.0 A passes
through a cell of emf 1.5 V having internal resistance of 0.15 W.
The potential difference across the terminals of the cell in volt is:
(a) 1.35 (b) 1.50 (c) 1.00 (d) 1.20
Q.3 A cell of emf E and internal resistance r is
connected to an external resistance r. The p.d. across the terminals of the cells is :
(a) E (b) 2E (c) E/2 (d) E/4
Q.4 A voltmeter of 998 W
resistance is joined to a cell or emf 2 V and internal resistance 2W
. The error in the measurement of emf will be :
(a) 4 ´ 10-1 V (b) 2 ´ 10-3 V (c) 4 ´ 10-3 V (d) 2 ´ 10-1V
Q.5 A student connects four cells, each of emf 1.5 V and
internal resistance 0.25W, in series but one cell has its terminals reversed. This battery sends
current in a 2 W resistor. The current is :
(a) zero (b) 1 A (c) 1. 5 A (d) 2.5
A
Q.6 In the measurement of resistance by a meter bridge,
the known and the unknown resistance are interchanged to eliminate
(a) end errors (b) inside error (c) error
due to thermo-electric effect
(d) random error
Q.7 A potentiometer wire of cross-sectional area 8 ´
10-6 m2 carries a current of 0.2 A. The resistivity of the material of the
wire is 4 ´ 10-7 W-m. The potential gradient along the wire is :
(a) 0.01 V/m (b) 10 V/m (c) 1.6 ´
10-2 V/m (d) 5 V/ m
Q.8 The driver cell o a potentiometer is of emf 2.0 V
and negligible internal resistance. The potentiometer wire AB is 1.0 m long and
has a resistance of 5.0 W. The resistance to be connected in series with the wire AB os as to
have a potential drop of 5 mV across the whole wire is :
(a) 1985W (b) 1990 W (c) 1995 W (d) 2000
W
Q.9 Two cells are first combined so as to support each
other and then so as to oppose each other. These combinations of cells balance
on a potentiometer wire at length 60 cm and 30 cm respectively. The ratio of
the emf of the cells is :
(a) 2 : 1 (b) 3 : 1 (c) 1 : 1 (d) 4 : 1
Q.10 A battery of 20 cells, having emf of 1.8 V and internal
resistance 0.1 W is charged by a charging
current of 15 A. The chemical power stored is
(a) 90 W (b) 990 W (c) 540
W (d) 450 W
Q.11 There are 24 cells, each of emf 2 V and internal resistance 0.4 W. They are arranged in 4 rows, each
containing 6 cells in series, the rows are connected in parallel. What should
be the resistance of the load so that this battery of cells gives maximum
current?
(a) 0 (b) 0.1 W (c) 0.6 W (d) 2.4 W
Q.12 There are 24 cells, each of emf 2 V and internal resistance 0.4 W. They are arranged in 4 rows, each
containing 6 cells in series; the rows
are connected in parallel. What should be the resistance of the load so that
this battery of cells gives maximum power?
(a) 0 (b) 0.1 W (c) 0.6 W (d) 2.4 W
Q.13 There are 24 cells, each of emf 2 V and internal resistance 0.4 W. What should be the number m of rows and
number n of cells in each row so than the power through a load of 2.4 W is maximum
(a) m = 6, n = 4 (b) m = 4, n = 6
(c) m =
1, n = 24 (d) m = 2, n = 12
Q.14 There are 24 cells, each of emf 2 V and internal resistance 0.4 W. What should be the number m of rows and
number n of cells in each row so that the maximum current is delivered in a
load of resistance 0.6 W
(a) m = 6, n
= 4 (b) m
= 4, n = 6 (c) m = 3, n =8 (d) m = 8, n =3
Q.15 The deflection of a galvanometer falls from 50 to 10 divisions
when a shunt of 5 W is connected across it. The
resistance of galvanometer is
(a) 20 W (b) 25 W (c) 40 W (d) 10 W
Q.16 A voltmeter has a range of 5.0 V and bears specification 2000 W/V. The additional resistance needed to
convert it into a voltmeter of 15 V range is
(a) 4000 W (b) 6000
W (c) 100000 W (d) 20000 W
Q.17 A resistance R = 1980 W in connected in series with
a voltmeter, after which the scale division become n = 100 times larger. The
resistance of the voltmeter before putting the resistance R was
(a) 100 W (b) 20 W (c) 2000 W (d) 200
W
Q.18 If the voltage across a bulb drops by 5% of its rated value, the
power will decrease by what percentage of the rated value.
(a) 5% (b) 10% (c) 20% (d) 25%
Q.19 One heater boils certain amount of water in
10 minutes and another heater in 15 minutes. In how much time the same water
will be boiled if the two heaters are put in series?
(a) 2.5
min (b) 6 min (c) 12.5 min (d) 25 min
Q.20 One heater boils certain amount of water in 10 minutes and
another heater in 15 minutes. In how much time the same water will be boiled if
the two heaters are put is parallel ?
(a) 2.5 min (b) 6 min (c) 12.5 min (d) 25 min
Q.21 Two resistors R1 and R2 may be connected
either in series or in parallel across a battery of emf e having negligible internal resistance. If
the joule heating for the parallel combination is to be four times that for the
series combination, the for R1 = 100 W, R2 must be
(a) 400 W (b) 25 W (c) 200 W (d) 100 W
*Q.22 Two bulbs A and B, one of resistance R and the other of resistance
r (r < R) respectively are connected in turn in series and parallel. A
voltage V is applied across the combination. Then,
(a) In series arrangement, A is brighter
than B
(b) In series arrangement, B is brighter
than A
(c) In parallel arrangement, A is brighter
than B
(d) In parallel arrangement, B is brighter
than A
Q.23 Three resistor 10 kW, 1 W ; 20 kW, ½ W and 40 kW, ¼ W are joined in series.
The current in the combination should not exceed
(a) 1 mA (b) 2 mA (c) 3 mA (d) 4 mA
Q.24 Drift
velocity vd varies with the intensity of electric field as per the
relation
(a) vd µ E (b) vd
µ 1/E (c) vd =
constant (d) vd µ E2
Q.25 The drift velocity of the
electrons in a copper wire of length 2m under the application of a potential
difference of 200 V is 0.5 ms-1. Their mobility is (in
m2V-1s-1)
(a) 2.5 ´ 10-3 (b) 2.5
´ 10-2 (c) 5 ´ 10 (d) 5
´ 10-3
Q.26 The electron drift speed is
small and the charge of the electron is also small but still we obtain large
current in a conductor. This is due to
(a) The conducting property
(b) The resistance of the conductor is small
(c) The electron number density of the conductor is small
(d) The
electron number density of the conductor is enormous
Q.27 Whetstone Bridge is more accurate method of measuring
the resistance because
(a)
it has four
resistor arms
(b)
it is based
on Kirchoff’s laws
(c)
it does not
involve Ohm’s law
(d)
it is a null
method.
Q.28 In a potentiometer, the length and resistance of the
wire are 10 metre and 20W respectively. The wire is connected in series with a resistance
of 5 W and a battery of e.m.f. 5 volt and negligible
internal resistance. The potential gradient along the wire in volt per meter is
(a) 0.1 (b) 0.2 (c) 0.3 (d) 0.4
Q.29 A
potentiometer consists of a wire of length 4m and resistance 10 W.
It is connected to a cell of e.m.f 2V. The potential difference per unit length
of the wire will be
(a) 0.5 V/m (b) 2
V/m (c) 5 V/m (d) 10 V/m
Q.30 Ten
identical electric bulbs, each rated 220 V, 50 W are used in parallel on 200 V
line for 10 hours a day in month of 30 days. The electric energy consumed in
kWh is
(a) 5 kWh (b) 50 kWh (c) 150
kWh (d) 1500 kWh
Current Electricity
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Magnetism
Biot Savart law
Q.1 A vertical wire carries a current upwards.
The magnetic field at a point due to north of the wore is directed
(a) upward (b) due
south (c) due west (d) due
east
Q.2 A length of wire carries a
steady current. It is bent first to form a circular plane coil of one turn and
it produces a field of induction B. The same length is now bent more sharply to
give a double loop of smaller radius. The magnetic field at the centre caused by
the same current is
(a) 1/4 B (b) 2B (c) 4
B (d) 1/2 B
Q.3 Magnetic field B at the
centre of a square ABC, of side a in which a current I enters the corner and
leaves the corner C is
(a) 4Ö2mI /a (b) 2Ö2m0I / 4pa (c) 0 (d) 2Ö2m0I / pa
Force on a Wire
Q.4 A positive
charge projected towards east is deflected towards north by a magnetic field.
The field is directed :
(a)
towards west (b) towards
south
(c) upwards (d) downwards
Q.5 Which of
the following particles will experience maximum force when projected
perpendicular to a magnetic field with same velocity ?
(a) electron (b) proton (c) He+ (d) Li++
Q.6 An electron accelerated through a
potential difference V enters a uniform transverse magnetic field in which it
experiences a force F. If V be increased to 2V, the electron will experience a
force :
(a) F/Ö2 (b) F/2 (c) Ö2 F (d) 2 F
Q.7 An ion enters perpendicular to a uniform
field of 4 ´ 10-2 Wb m-2
with a velocity 2 ´ 105 ms-1.
If the specific change (q/m) of the ion be 5 ´ 107 C kg-1 then the radius of
its circular path will be :
(a) 0.10 m (b) 0.40 m (c) 0.20 m (d) 0.25 m
Force on a Charge Particle
Q.8 Two particles X and Y having equal charges
after being accelerated through the same potential difference enter a region of
uniform magnetic field and describe circular paths of radii R1 and R2
respectively. The ratio of mass of X to that of Y is
(a) (R1 / R2)1/2 (b) R2 / R1 (c) (R1 / R2)2 (d) R1 / R2
Q.9 A deuteron of kinetic energy 50 keV is
describing a circular orbit of certain radius in a magnetic field B. The
kinetic energy of a proton that describes a circular orbit of the same radius
in the same field is
(a) 25
keV (b) 50 keV (c) 100 keV (d) 200 keV
Q.10 A proton and an alpha particle having the
same kinetic energy enter a uniform magnetic filed region at right angles to it
and traces circular paths of radii R1 and R2
respectively, then R1 : R2 is
(a) 1 : 1 (b) 2 : 1 (c) 1 : 2 (d) 1 : 4
Q.11 A charged particle is moving in a circular
path in a magnetic field. If the velocity of the charged particle suddenly
increase, which quantity remains unaltered?
(a) kinetic energy (b) momentum (c) radius (d) angular frequency
Q.12 Particles having positive charges
occasionally come with high velocity from the sky towards the earth at the
equator. On account of magnetic field of the earth, they would be deflected
towards the
(a) north (b) south (c) east (d) west
Q.13 A magnetic field of 5.0 ´ 10-4 T just balances a perpendicular
electric field of 15 kV/m in their effect on an electron beam passing through
the two field in a direction perpendicular to both of them. What is the speed
of the electrons?
(a) 75 m/s (b) 3 ´ 104 m/s (c) 7.5 ´ 104 m/s (d) 3 ´ 107 m/s
Q.14 A charged particle is released from rest in a region
of steady and uniform electric and magnetic fields which are parallel to each
other. The particle will move in
(a) Straight line (b) Circle (c) Helix (d) Cycloid
Q.15 A charged particle moves through a magnetic field in a
direction perpendicular to it. Then the
(a)
velocity
remains unchanged
(b)
speed of the
particle remains unchanged
(c)
direction of
the particle remains unchanged
(d)
accelerations
remain unchanged
dQ.16 A particle of charge – 16 ´ 10-18 coulomb moving with velocity 10 m/s
along the x-axis enters a region where a magnetic field of induction B is along
the y-axis, and an electric field of magnitude 104 V/m is along the
negative Z-axis. If the charged particle continues moving along the X-axis, the
magnitude of B is
(a) 108 Wb/m2 (b) 105 Wb/m2 (c) 106 Wb/m2 (d) 103 Wb/m2
Magnetic
Dipole and Earth’s-magnetism & Magnetic material
Q.17 If
the magnetic susceptibility of a specimen is small and positive, the specimen
is :
(a) Diamagnetic (b) Paramagnetic
(c) Ferromagnetic (d)
Non-magnetic.
Q.18 If
the magnetic moment of the atom of a substance is zero, the substance is called
:
(a) Diamagnetic (b) Paramagnetic
(c) Ferromagnetic (d)
Antiferromagnetic.
Q.19 Most
of the substance show which of the following magnetisms :
(a) Diamagnetism (b) Paramagnetism
(c) Ferromagnetism (d)
none of the above.
bQ.20 An
example diamagnetic substance is :
(a) Aluminium (b) Paramagnetic
(c) Solution of iron salt (d)
Mercury.
Q.21 Above
Curie point, a ferromagnetic material becomes :
(a) Non-magnetic (b) Neon
(c) Paramagnetic (d)
Strongly ferromagnetic.
Q.22 Which
one of the following materials is ferromagnetic ?
(a) Gold (b) Nickel (c) Wood (d) Manganese
Q.23 The magnetic
field lines :
(a)
intersect at
the neutral point
(b)
intersect
near north and south poles
(c)
cannot
intersect at all.
(d)
Depend upon
the position of the magnet.
Q.24 A
bar magnet is placed inside a non-uniform magnet field. It experiences :
(a) a force and torque (b) a force but not a torque
(c) a force but not a force (d) neither a force nor a torque.
Q.25 Two
bar magnets having same geometry with magnetic moments M and 2 M are firstly
placed in such a way that their similar poles are on the same side; then its
period of oscillation is T1. Now the polarity of one of the magnets
is reversed. The time period of oscillations will be :
(a) T1
< T2 (b) T1 > T2 (c) T1 = T2 (d) T2 = ¥.
Q.26 Which
of the following is most suitable for the core of the electromagnets ?
(a) Air (b) Soft iron (c) Steel (d) Cu-Ni alloy.
Q.27 A bar magnet of magnetic moment 80 units is
cut into two halves of equal length, the magnetic moment of each half will be :
(a) 80 units (b) 40 units (c) 60 units (d) 20 units
Q.28 Tesla is the unit
(a) Magnetic
flux (b) Magnetic intensity
(c) Magnetic induction (d) Magnetic moment
Q.29 If r be the distance of a point on the axis of a bar
magnet from its center, then magnetic field at this point is proportional to :
(a) (1/r) (b) (1/r2) (c) (1/r3) (d) (1/r4)
Q.30 Points A and B are situated along the extended axis of
a 2 cm long bar magnet at distance x and 2x cm respectively from the pole
nearer to the point. The ratio of the magnetic fields at A and B will be:
(a) 4 : 1 exactly (b) 8 :
1 exactly
(c) 4 : 1 approximately (d) 8 : 1 approximately.
Magnetism
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Electromagnetic Induction
Q.1 When the current through a solenoid
increases at a constant rate, the induced current
(a)
is a constant
and is in the direction of the inducing current
(b)
is a constant and is
opposite to the direction of the inducing current
(c)
Increases with time
and is in the direction of inducing current
(d)
increases with time
and is opposite to the direction of inducing current.
Q.2 Two
circular, similar, coaxial loops carry equal currents in the same direction. If
the loops are brought nearer, what will happen?
(a)
Current will increase in each loop
Current will increase in each loop
(b)
Current will
decrease in each loop
(c)
Current will remain
same in each loop
(d)
Current will
increase in one and decrease in the other
Q.3 A
solenoid has 2000 turns wound over a length of 0.3 m. The area of its
cross-section is 1.2 ´ 10-3 m2. Around its central portion a coil of
300 turns is wound. If an initial current of 2 amp in the solenoid is reversed
in 0.25 sec, the e.m.f. induced in the coil is equal to :
(a) 6 ´ 10-4 V (b) 48 mV
(c) 6 ´ 10-2 V (d) 48 kV
Q.4 Two
different loops are concentric and lie in the same plane. The current in the
outer loop is clock wise and increases with time. The induced current in the
inner loop then is :
(a)
clockwise
(b) zero
(c)
counterclockwise
(d)
in a
direction that depends on the ratio of the loop radii
Q.5 The
north pole of a long horizontal bar magnet is being brought closer to a
vertical conducting plane along the perpendicular direction. The direction of
the induced current in the plane will be :
(a) horizontal (b) vertical
(c) clockwise (d) anticlockwise
Q.6 A
step-down transformer transforms a supply line voltage of 2200 volt into 220
volt. The primary coil has 5000 turns. The efficiency and power transmitted by
the transformer are 90% and 8 kilowatt respectively. Then the number of turns
in the secondary is :
(a) 5000 (b) 50
(c) 500 (d) 5
Q.7 The
average e.m.f. induced in a coil when a current changes from 0 to 2A in 0.05
sec is 8V. The self-inductance of the coil is :
(a) 0.1 H (b) 0.2
H (c) 0.4 H (d) 0.8 H
Q.8 A long metallic pipe is
held vertical. A small bar magnet with its N-ole pointing downwards is allowed
to fall through it. After a lapse of some time, the magnet will be observed to
be falling with an acceleration a where
(a) a > g (b)
a < g (c) a = g (d) a =
0
Q.9 Two identical coaxial
circular coils carry equal currents. When viewed from a point mid-way between
the coils the direction of current in one coil is clockwise and in the other it
is anti-clockwise. If these coils approach each other, the current
(a)
in each coil
increases (b) in each coil remains same
(c) in
each coil decreases
(d) in one
coil increases and in other coil decreases.
Q.10 A small conducting circular
coil is placed inside a long solenoid carrying a current. The plane of the coil
contains the axis of the solenoid. If the current in the solenoid is increased,
the current induced in the coil is
(a) clockwise (b) anti-clockwise (c) zero (d) a.c.
Q.11 A hundred turns of
insulated copper wire are wrapped around an iron cylinder of area 1 ´ 10-3 m2 and are connected to a
resistor. The total resistance of the circuit is 10 W. If the longitudinal magnetic induction in the iron
changes 0.1 T in one direction to 0.1 T in opposite direction, the charge that
flows in the circuit is
(a) 2 ´ 10-3
C (b) 1 ´ 10-3
C (c) 2 ´ 10-6 (d) zero
Q.12 A closely would coil of 100
turns and area of cross-section 1 cm2 has a coefficient of
self-inductance 1 mH. The magnetic induction at the centre of the core of the
coil when a current of 2A flows in it is
(a) 0.2
Wb/m2 (b) 0.4 Wb/m2 (c) 0.8
Wb/m2 (d) 1.0 Wb/m2
Q.13 A
conducting bar is pulled with a constant speed v on a smooth conducting rail.
The region has a steady magnetic field of induction B as shown in the figure.
If the speed of the bar is doubled then the rate of heat dissipation will:
(a)
remain
constant will
(b)
become
quarter of the initial value
(c)
become four
fold
(d)
get doubled
Q.14 A current I
= 10 sin (100p) is passed in first coil, which induces a maximum e.m.f. of 5p volt in second coil. The mutual inductance between
the coils is :
(a) 10mH (b) 15mH (c) 20 mH (d) 5mH
Q.15 A
solenoid of resistance 50W and inductance 5mH is connected to 200 V battery. Calculate maximum
energy stored :
(a) 4 mJ (b) 0.4 mJ (c) 40
mJ (d) 400mH
Alternate
Current
Q.16 The rms value of
alternating current which when passed through a resistor produces heat which is
thrice that produced by the current of 2 A in the same resistor, is
(a) 6 A (b) 2 A (c) 3.46 A (d) 0.65
A
Q.17 In a series LCR circuit,
the p.d. across the resistor is 30 V, across the inductance 80 V and across the
capacitance is 40 V. The applied voltage is
(a) 30 V (b) 50 V (c) 40 V (d) 150 V
Q.18 In an ac circuit the power
dissipated as heat is given by
(a) VI (b) VI cos q (c) I2R (d) V2/R
Q.19 In an ac
circuit the current :
(a)
is in phase
with the voltage
(b)
leads the
voltage
(c)
lags the
voltage
(d)
any of the
above depending on the circumstances
Q.20 An
ac is applied to resistive circuit. Which is true of the following?
(a)
Current leads
in phase ahead of voltage
(b)
Current legs
behind the voltage in phase
(c)
Current and
voltage are in the same phase
(d)
Any of the
above may be true depending upon the value of the resistance
Q.21 In
a circuit containing an inductance of zero resistance, the current lags behind
the applied alternating voltage by a phase angle :
(a) 90° (b) 45° (c) 30° (d) 0°
Q.22 When
100 V dc is applied across a solenoid, a current of 1A flows in it. When 100 V
ac is applied across the same solenoid the current drops to 0.5 A. If the
frequency of the ac source is 50 Hz, the impedance and inductance of the
solenoid are :
(a) 200 W and 0.55 H (b) 100 W and 0.86 H
(c) 200 W and 1.0 H (d) 1100 W and 0.93 H
Q.23 An
alternating voltage is connected in series with a resistance R and inductance
L. If the potential drop across the resistance is 200 V and across the
inductance is 150 V, the applied voltage is :
(a) 350V (b) 250V (c) 500V (d) 300V
Q.24 An
inductive circuit contains a resistance of 10W and an inductance of 2H. If an ac voltage of 120 V
and frequency 60 Hz is applied to this circuit, the current would be nearly
:
(a) 0.72 A
(b) 0.16 A (c) 0.48
A (d) 0.80 A
Q.25 A
12 ohm resistor and 0.21 Henry inductor are connected in series to an ac source
operating at 20 V, 50 cycle. The phase angle between the current and the source
voltage is :
(a) 30° (b) 40° (c) 80° (d) 90°
Q.26 A
coil having an inductance of 1/p henry is connected in series with a resistance of 300W. If 20 volt from a 200 cycle source are impressed
across the combination, the value of the tangent of the phase angle between the
voltage and the current is :
(a) tan-1
5/4 (b) tan-1 4/5 (c) tan-1 3/4 (d) tan-1 4/3
Q.27 The
power factor of series LCR circuit when at resonance is :
(a) zero (b) 0.5 (c) one
(d) depends
on the values of L,C and R
Q.28 The
impendence of a circuit consists of 3 ohm resistance and 4 ohm reactance. The
power factor of the circuit is :
(a) 0.4 (b) 0.6 (c) 0.8 (d) 1.0
Q.29 In an ac circuit V and I
are given by
V=
150 sin (150 t) V and
I
= 150 sin (150 t + p/3) A
The power dissipated in the
circuit is
(a) 5625 W (b) 4825
W (c) 7450 W (d) 3425
W
Q.30 A
resistor, an inductance and a capacitance are connected in series to an a.c
supply. When measured with the help of an a.c. voltmeter, the p.d. across the
resistor is found to be 40 V, across the inductance 30 V, and across the
capacitance 60 V. what is the supply voltage ?
(a) 130 V (b) 50V (c) 70 V (d) 100V
ANSWERSHEET
Induction
& A.C.
1.
|
(b)
|
2.
|
(b)
|
3.
|
(b)
|
4.
|
(c)
|
5.
|
(b)
|
6.
|
(c)
|
7.
|
(b)
|
8.
|
(d)
|
9.
|
(c)
|
10.
|
(c)
|
11.
|
(a)
|
12.
|
(a)
|
13.
|
(c)
|
14.
|
(d)
|
15.
|
(c)
|
16.
|
(c)
|
17.
|
(b)
|
18.
|
(bc)
|
19.
|
(d)
|
20.
|
(c)
|
21.
|
(a)
|
22.
|
(a)
|
23.
|
(b)
|
24.
|
(b)
|
25.
|
(c)
|
26.
|
(d)
|
27.
|
(c)
|
28.
|
(b)
|
29.
|
(a)
|
30.
|
(b)
|
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