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AIEEE Sample papers

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                                                 AIEEE 2009

1.The coulur rings of a carbon resistor are Green, Grey and Blue. The resistance of the resistor is
a)                 58 MΩ b)                  586 Ω c)                  568 Ω d)                   5.8 kΩ
2.1020electrons each having a charge 1.6×10−19C pass from a point X towards point Y in 0. What is the
current and direction
a)                 1600 A from Y to X        b)                160 A from X to Y         c)                16 A
from Y to X        d)                160 A from Y to X
3.The drift velocity of electrons in a metal of area of cross section 10−5m2for a current of 20A in m/s is
(Assume that 8.4×1028electrons /m3)
a)                 1.5×10−4          b)               3×10−4 c)                  3×108 d)                  3×10−8
4.For which of the following dependence of drift velocity 'v' on electric field E is Ohm's law obeyed?
a)                 vαE2 b)                   vαE1/2 c)                 vαE       d)               v= constant
5.The radius of earth is approximately 6400km. Its capacity in microfarad is
a)                 6400μF b)                 711μF c)                  0.06μF d)                  71.1μF
6.In a charged capacitor the energy is stored in
a)                 the field between the plates       b)               the positive charges       c)
          the negative charges       d)               Both (a) and (b)
7.The capacity of a parallel plate condeser is C. Its capacity, when the separation between the plates is
halved will be
a)                 4C       b)               2C       c)               C/2       d)               C/4
8.One electron volt of energy is
a)                 1.6×10−13J        b)               1.6×10−19J       c)                4.8×10−12J        d)
9.Three charges 2q, -q, q are located at the vertices of an equilateral triangle. At the circumcentre
a)                 the filed is non-zero but the potential is zero     b)                the field is zero but the
potential is not zero       c)               both the field and potential are zero       d)                 both
field and potential are non-zero
10.During the process of induction some of the charges of the inducing body is
a)                 lost     b)               gained c)                 first gained and then lost          d)
          neither lost nor gained
11.A parallel plate capacitor has charge Q on it. The electric field in the space between the plates is E.
The magnitutde of force on each plate must be
a)                 QE       b)               QE/2 c)                   Q/E       d)               2QE
12.Which of the following statements is not true for an equipotential surface?
a)                 The P.D between any two points on the surface is zero b)                       The electric
field is always at right angles to the surface        c)               No work is done to move a chrge along
a surface          d)                Equipotential surface are always spherical
13.The potential energy of two equal positive charges 1μC each held 1 m apart in air is
a)                 1J       b)               1eV      c)               9×10−3J           d)                zero
14.A charge is distributed over two electronic hollow spheres having radii 'R' and 'r' respectively, where
R>r. such that the surface densities are equal. What will be the potential at the common centre?
a)                 σ(R−r)/ɛ0         b)               σR/ɛ0 c)                   σ(R×r)/ɛ0        d)
15.Two parallel plates ate maintained at a potential difference of 103V and are at a distance of 1 cm. The
electric field at a point in between the plates is
a)                 100 V/m           b)               1000 V/m         c)                107V/107V/m d)
16.Two small spheres carry charges of 2μC and 5μC respectively. The charges are 0.2m apart. The
electric potential at the midpoint of the line joining the two charges is
a)                 6.3×105V          b)               3.2×105V         c)                1.2×105V          d)
17.A parallel plate air capacitor has a capacitance 4μF. When it is immersed in a liquid of relative
permittivity ɛr,its capacitance will be 9μF. The value of ɛris


a)                2        b)                2.5     c)             4/9     d)                9/4
18.An air parallel plate capacitor has capacitance C. When a medium of relative permittivity K is
introduced between the plates, the capacitance is
a)                C+K      b)                C-K     c)             CK      d)                C/K
19.The electric field inside a spherical shell of uniform charge density is
a)                zero     b)                uniform c)             non uniform      d)
          proportional to distance from the centre
20.27 million small drops each of radius 1 mm and having charge of 10−10C, coalesce to form a bigger
drop. The potential of the bigger drop is
a)                8×106V b)                  18×107V         c)             81×107V           d)
21.A parallel plate capacitor has circular plates of radius 8 cm and plate seperation 1 mm. The
capacitance of the capacitor will be
a)                178pF b)                   356pF c)               89pF d)                   100pF
22.A condenser of capacitance 8μF is charged to a potential of 1000V. The energy stored in the
condenser in joules is
a)                2        b)                3       c)             1.5     d)                4
23.The electric potential energy of electron proton system of hydrogen atom in eV, if the radius of the
electron orbit is 5.29×10−11m is
a)                -22.27 b)                  +27.22 c)              -27.22 d)                 +22.27
24.The potential difference between to parallel plates is 100 V and the electric field at a point between
them is 104V/m. The distance between the plates is
a)                2 cm b)                    3 cm c)                4 cm d)                   1 cm
25.Two charges +10−15Ceach are kept 10 cm apart. The electric field at a point midway between them in
N/C is
a)                zero     b)                10×10−13        c)             9×10−9 d)                 9×10−2
26.A charge 'q' is placed at the centre of the line joining two equal charges 'Q'. The system of the three
charges will be in equilibrium if 'q' is equal to
a)                -Q/2     b)                -Q/4    c)             +Q/4 d)                   +Q/4
27.At the eight corners of a cube of side 'a' cm are situated equal charges of 'q' units each. What is the
field at the centre of cube?
a)                3a/2     b)                3a/2    c)             3q/2    d)                zero
28.A body has a charge of -1C. The number of excess electrons on the body is
a)                6.25×1018         b)               6.25×1013      c)               1.6×1019         d)
29.Two fixed point charges +4e and +e units are separated by a distance 'a'. Where should a third point
charge be placed for it to be in equilibrium?
a)                2a/3 from +4e b)                   2a/3 from +e   c)               a/3 from +4e     d)
          a/3 from +e
30.Two charges +20μC and -20μC are placed 1 cm apart. The electric field at a point on the axial line at a
distance of 20 cm from the centre of the dipole in N/C is
a)                4.5×105           b)               9×105 c)               4.5×106           d)
31.The electric field acting on a proton so that proton remains stationary in space is (me=1.67×10−27)
a)                1.6×10−19N/C b)                    1.02×10−6N/C c)                 5×10−7N/C        d)
32.The electric field acting on an electron in a hydrogen atom due to the proton in the nucleus, if the
distance between the proton and electron is 5.3×10−11m in N/C is
a)                5.1×1011          b)               5.1×10−11      c)               1.6×10−19        d)
33.A Charge Q is placed at the centre of a Cube. The electric flux through on of the faces of the cube is
a)                Q/ɛ0 b)                    Q/2ɛ0 c)               2Q/ɛ0 d)                  Q/6ɛ0
34.The electric potential energy between two protons of a uranium atom if the distance between the two
protons is 6×10−15m and charge on each proton is 1.6×10−19Cis
a)                3.84×10−14J b)                     7.68×10−14J c)                  1.85×10−14J d)


35.Ampere-hour is the unit of
a)                 Charge b)                strength of electric current      c)              energy d)
36.Work done in carrying a charge Q1around a circle of radius 'r' with a charge Q at the centre is
a)                 Q/4πɛ0r          b)               Q1Q/4πɛ0r        c)              Zero    d)
37.When an electric dipole is placed in a uniform electric field, it experiences
a)                 force only       b)               torque only      c)              Both force and torque
          d)                Neither force nor torque
38.The number of electrons to be put on a spherical conductor of radius 0.1 m to produce an electric field
of 0.36N/C just above the surface is
a)                 2.7×106          b)               2.6×106          c)              2.5×106         d)
39.The electric potential at the surface of an atomic nucleus (Z=50) of radius 9×10−15m
a)                 80V      b)              8×106V c)                 9V      d)              9×106V
40.A charge of 5C experiences a force of 2N in an electric field. The potential gradient at that point is
a)                 0.4N/C b)                4×105N/C          c)              2.5×10−6N/C d)
41.An uncharged condenser with a solid dielectric is connected to a similar air condenser charged to a
P.D of V1volts. What is the dielectric constant of the solid dielectric
a)                 (V1+V)/V         b)               V12/V c)                 (V1−V)/V        d)
42.When two charged conductors at the same potential are joined by a wire, the energy of the conductor
a)                 increases        b)               decreases        c)              None of these d)
          No change
43.The electrics potential 'V' as a function of distance is given by V=(5x2+10x−9)volts. The value of
electric field at x=1m is
a)                 20V/m b)                 6V/m c)                   11V/m d)                -23V/m
44.Air can sustain without breakdown of its insulation, an electric field of 3×106V/m.The maximum
amount of electrostatic energy density of air is
a)                 90J/m3 b)                79.6J/m3          c)              900J/m3         d)
45.Three charges q, Q and 4q are placed at one end, middle and other end of rod. The value of Q in
order that the force on 'q' is zero must be
a)                 4q       b)              -2q      c)               -q      d)              q/2
46.Two charges Q1and Q2repel each other if
a)                 Q1>Q2 b)                 Q1<Q2 c)                  Q1Q2=0          d)
47.The electric potential at a space is given by V=(5x+4y-7z). The electric field at the space is
a)                 -(5i+4j-7k)      b)               5i+4j-7k c)              -5i+4j d)               -4j+7k
48.A parallel plate capacitor is charged. If the plates are pulled apart
a)                 the P.D increases        b)                the capacitance increases       c)
          the total charge increases        d)                the charge and P.D remains the same
49.The capacitance of the earth viewed as a spherical conductor of radius 6408 k is
a)                 980μF b)                 1424μF c)                 712μF d)                μF
50.A parallel plate capacitor is with oil between the plates (dielectric constant=2) has a capacitance 'C'. If
the oil is removed, the capacitance will be
a)                 2C       b)              2C       c)               C/2     d)              C/2


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