1. X2 - 4X - 2Y + Y2 = 4 represents a circle with
(a) radius = 3
(b) radius = 4
(c) radius = 2
(d) radius = 5
(a) Y - 4X - 4 = 0
(b) Y + AX - 4 = 0
(c) Y - 4X - 1 =0
(a) (i) and (ii)
(b) (i) and (iii)
(c) (ii) and (iii)
(d) None of these.
3. The conjugate of complex numbers 3 + 2j is
(a) 3 - 2j
(b) 2 + 3j
(c) 2 - 3j
(d) 3 + 4j
4. A Square matrix each of whose diagonal element is
1 and each of the non-diagonal element is zero is called
(a) Null matrix
(b) Unit matrix
(c) Diagonal matrix
(d) Orthogonal matrix
5. The determinant of matrix <image> is
(a) 1
(b) 9
(c) 15
(d) 21
6. The charge of an electron is equal to
(a) 1.6 x 10-16 C
(b) -1.6 x 10-16 C
(c) 1.6 x 1019 C
(d) -1.6 x 1019 C
7. The potential energy of a charged conductor is
(a) 1/2 CV2
(b) 1/2 QV
(c) Both (a) and (b)
(d) None of these
8. Capacitors are mainly used in
(a) Electrical instruments
(b) Storage of electrical energy
(c) Overcoming voltage fluctuations
(d) All the above
9. Two capacities of 4 µF and 12 µF are joined in
parallel. The total capacitance is
(a) 8 µF
(b) 16 µF
(c) 3 µF
(f) 2 µF
10. What is the total resistance between points 'A'
and 'B' in the given circuit
<image>
(a) 12/7 O
(b) 15 O
(c) 7 O
(d) 7/12 O
11. A current of 12 A is passing through a pure
resistive circuit when the potential difference of 60 volts is applied across
it, if the potential difference applied is reduced to 12 V, the current would be
(a) 12/5 A
(b) 60 A
(c) 12 A
(d) 2 A
12. Which of these normally used household
electrical bulbs will be having maximum resistance.
(a) 100 Watt bulb
(b) 50 Watt bulb
(c) 200 Watt bulb
(d) 25 Watt bulb
13.The distance of point P (4, 3) from the origin will
be
(a) 7
(b) 1
(c) 5
(d) 9
14. The slope of the line passing from points (7, 3)
and (5, 1) is
(a) 1
(b) 2
(c) 3
(d) 4
15. A line perpendicular to line 3x + 4y + 5 = 0 can
be
(a) 4x + 3y + 4 = 0
(b) 4x - 3y + 3 = 0
(c) 3x - 4y + 5 = 0
(d) 3x - 4y + 2 = 0.
16. The centre of the circle x2 + 6x - 4y + y2 + 12
= 0 will be at
(a) (-3, 2)
(b) (3, -2)
(c) (-2, 3)
(d) (2, -3)
17. The product of (3 + 4j) and its conjugate is
(a) 7
(b) 25
(c) 12
(d) 21
18. During charging of a lead acid cell, the
specific gravity of electrolyte will
(a) Increase
(b) Decrease
(c) Remain constant
(d) Increase then Decrease
19. The decimal number '12' is represented in binary
system as
(a) 1100
(b) 0110
(c) 1010
(d) 1110
20. What is the value of current that will flow when
a p. d. 200 V is applied across a circuit of 50 O resistance?
(a) 4 A
(b) 0.4 A
(c) 10 A
(d) 1 A
21. If both the inputs to a Nand Gate are '1', the
output would be
(a) 1
(b) 0
22. If input 'A' is 1 and input 'B' is 0, then
output X will be
<image>
(a) 0
(b) 1
23. The truth-table of a Nand Gate is
(a)
A B X
0 0 1
0 1 1
1 0 1
1 1 0
(b)
A B X
0 0 0
0 1 0
1 0 0
1 1 1
(c)
A B X
0 0 0
0 1 1
1 0 0
1 1 1
(d) None of these
24. IC chip is usually made of
(a) Lead
(b) Silicon
(c) Chromium.
(d) None of these.
25. Below given network is connected to a 16 V
battery with internal resistance of 1 O. What will be current drawn from the
battery?
<image>
(a) 2 A
(b) 3 A
(c) 12/7 A
(d) 7/12 A
26.Determine the equivalent resistance of the
following network:
<image>
(a) 6 O
(b) 12 O
(c) 3 O
(d) 9 O.
27. A Zener diode is
(a) Forward biased heavily doped silicon p-n
junction
(b) Reversed biased heavily doped silicon p-n
junction
(c) Forward biased diode operating at breakdown
point
(d) Is used as rectifying device
28. Crystal oscillator is used when frequency
required is
(a) High
(b) Low
(c) Constant
(d) Varying.
29. What is the energy in a quantum of radiation
having a wave length of 5000 A?
(a) 3.98 x 10-19 J
(b) 3.98 x 10-9 J
(c) 2.9 x 10-19 J
(d) 7.9 x 10-19 J.
30. Which of these cannot store energy?
(a) Capacitor
(b) Inductor
(c) Resistance
(d) LC circuit.
31. A short bar of magnet placed with its axis at
300 with a uniform external magnetic field of 0.16 T experiences a torque of
magnitude 0.032 J. What is the magnetic moment of the magnet?
(a) 0.40 JT-1
(b) 4.0 JT-1
(c) 0.04 JT-1
(d) 0.2 JT-1
32. The total force on a charge 'q' with velocity
"V" in an electric field 'E' and magnetic field 'B' will be
(a) q (E + V x B)
(b) q(E + V.B)
(c) qE + VxB
(d) q(B + V x E)
33. The magnetic field B at the centre of a circular
current loop of radius 'a' is given by
(a) B =µ0 I/2a
(b) B = µ0 I/a
(c) B = 2µ0 I/a
(d)B = µ0 a/2I
34. If f = x2 + 4xy + y2 + 9, then which of the
following is not true:
(a) ?f/?x = 2x + 4y
(b) ?f/?y = 4x + 2y
(c) ?2f/?x2 = 2
(d) ?2f/?x?y = 4
35. A hollow metal ball 8 cm in diameter is given a
charge of - 4 x 10-8 C. The potential on the surface of the ball is
(a) - 9000 V
(b) - 900 V
(c) - 90 V
(d) Zero.
36. The effective capacitance between X and Y is
<image>
(a) 8/3 µF
(b) 7/6 µF
(c) 5/6 µF
(d) 2 µF.
37. The amount of work done is joules in carrying a
charge + Q alongwith path ABCD and back to A between two oppositely charged
plates is:
<image>
(a) Q
(b) 4Q
(c)Q/2
(d) Zero.
38. How many electrons are contained in 1C?
(a) 6.25 x 1018
(b) 6.25 x 1019
(c) 6.25 x 1020
(d) 6.25 x 1021
39. The phase angle between voltage and current in
an a. c. circuit through a pure capacitance is
(a) 180°
(b) 90°
(c) 60°
(d) 0°
40. The permeability of a material is 0.998. It is:
(a) Diamagnetic
(b) Paramagnetic
(c) Ferromagnetic
(d) Anti ferromagnetic.
41. The ratio of the specific charge of an electron
to that of a positron is
(a) 1:1
(b) 1:2
(c) 2:1
(d) 4:1.
42. With increase in temperature, the electrical
conductivity of intrinsic semiconductor
(a) Increases
(b) Decreases
(c) First increases then decreases
(d) First decreases then increases.
43. In a common collector circuit, input resistance
is:
(a) Very high
(b) Very low
(c) Zero
(d) Moderate.
44. A electron jumps from the 4th orbit to the 2nd
orbit of hydrogen atom. If R = 107/m, the frequency of emitted radiations will
be
(a) 3/16 x 105 Hz
(b) 3/16 x 1015 Hz
(c) 9/16 x 1015 Hz
(d) 3/4 x 1015 Hz.
45. I amu. equals
(a) 1.67 x 10-27 g
(b) 1.67 x 10-28 g
(c) 1.67 x 10-29 g
(d) 1.67 x 10-27 kg
46. A tuning fork produces 4 beats/sec both with 50
and 40 cms of a stretched wire of a sonometer. The frequency of the tuning fork
is
(a) 36 Hz
(b) 50 Hz
(c) 90Hz
(d) 110 Hz
47. A particle is executing SHM with an amplitude 4
cm. At what displacement its energy is half kinetic and half potential
(a) 2v2cm
(b) v2 cm
(c) 2 cm
(d) 1 cm.
48. An electron moves with a constant velocity V
parallel to the direction of uniform magnetic field 'B'. The force experienced
by the electron is
(a) BeV
(b) eV/B
(c)B/eV
(d) Zero.
49.A charged particle is moving along the axis of X.
If an electric field is applied along the axis of Y, the motion of the particle
in Y-Y plane will be
(a) Elliptical
(b) Parabolic
(c) Circular
(d) Linear
50. An electric or magnetic field cannot accelerate
(a) Electrons
(b) Protons
(c) Neutrons
(d) Alpha particles
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