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Electromagnetic Induction and Alternating Currents

Board » Bihar Board » Class 12th » English Medium » Science » Physics » L-4: Electromagnetic Induction and Alternating Currents

Objective Questions (MCQs)

Question
Multiple Choice
ID- 15795
BSEB, 2019 (C)

1. Instrument which cconverts mechanical energy to electrical energy is:

  • (A) Induction-coil
  • (B) Dynamo
  • (C) Transformer
  • (D) Motor
Multiple Choice
ID- 15796
BSEB, 2020 (A)

2. Which quantity decrease in step-down transformer?

  • (A) Current
  • (B) Voltage
  • (C) Power
  • (D) Frequency
Multiple Choice
ID- 15797
BSEB, 2013; 2016 (A), 2017 (A)

3. The unit of reactance is:

  • (A) mho
  • (B) ohm
  • (C) farad
  • (D) ampere
Multiple Choice
ID- 15798
BSEB, 2010

4. An a.c. source of angular frequency ω is connected in a series LCR circuit. The peak value of current will be maximum when:

  • (A) ω < $\frac{1}{\sqrt{LC}}$
  • (B) ω < $\sqrt{LC}$
  • (C) ω = $\frac{1}{\sqrt{LC}}$
  • (D) ω > $\frac{1}{\sqrt{LC}}$
Multiple Choice
ID- 15799
BSEB, 2010

5. A cell of e.m.f. 1.5 V is connected with an ammeter of resistance of 0.05 Ω. If the current in the circuit is 2.0 A, the internal resistance of the cell is:

  • (A) 1.0 Ω
  • (B) 0.9 Ω
  • (C) 0.8 Ω
  • (D) 0.7 Ω
Multiple Choice
ID- 15800
BSEB, 2012

6. The peak voltage of an a.c. is 440 volt. Its virtual voltage is:

  • (A) 220 V
  • (B) 440 V
  • (C) 220 $\sqrt{2}$ V
  • (D) 440 $\sqrt{2}$ V
Multiple Choice
ID- 15801
BSEB, 2015

7. If ф is the phase difference between a.c. current and e.m.f., then the value of power factor is:

  • (A) tan ф
  • (B) $\ce{cos^2}$ ф
  • (C) sin ф
  • (D) cos ф
Multiple Choice
ID- 15802
BSEB, 2015, 2018 (C), 2020 (A)

8. Impedance of L-R circuit is:

  • (A) $\ce{R^2 + ωL^2}$
  • (B) $\ce{\sqrt{R + ωL}}$
  • (C) $\ce{R + ωL}$
  • (D) $\ce{\sqrt{R^2 + ω^2L^2}}$
Multiple Choice
ID- 15803

9. Direction of current induced in a wire moving in a magnetic field is found using:

  • (A) Fleming's left hand rule
  • (B) Fleming's right hand rule
  • (C) Ampere's rule
  • (D) Right hand claps rule
Multiple Choice
ID- 15804
BSEB, 2016

10. Lenz's law is a consequence of the law of conservation of:

  • (A) charge
  • (B) energy
  • (C) induced emf
  • (D) induced current
Multiple Choice
ID- 15805

11. Which of the following does not of application of eddy current?

  • (A) Electric power meters
  • (B) Induction fornace
  • (C) LED lights
  • (D) Magnetic brakes in trains
Multiple Choice
ID- 15806

12. Induction furnace make use of:

  • (A) self induction
  • (B) mutual induction
  • (C) eddy current
  • (D) none of these
Multiple Choice
ID- 15807
BSEB, 2021 (A)

13. One Henry is equal to:

  • (A) $\ce{10^3 mH}$
  • (B) $\ce{10^6 mH}$
  • (C) $\ce{10^{–3} mH}$
  • (D) $\ce{10^{–6} mH}$
Multiple Choice
ID- 15808
BSEB, 2021 (A)

14. The relation between r.m.s. value of alternating current $\ce{I_{r.m.s.}) }$ and peak value of alternating current $\ce{(I_0)}$ is:

  • (A) $\ce{I_{r.m.s.} = 0.505 I_0}$
  • (B) $\ce{I_{r.m.s.} = 0.606 I_0}$
  • (C) $\ce{I_{r.m.s.} = 0.707 I_0}$
  • (D) $\ce{I_{r.m.s.} = 0.808 I_0}$
Multiple Choice
ID- 15809

15. If N is the number of turns in a coil, the value of self-inductance varies as:

  • (A) $\ce{N^0}$
  • (B) $\ce{N}$
  • (C) $\ce{N^2}$
  • (D) $\ce{N^{–2}}$
Multiple Choice
ID- 15810

16. Two solenoids of equal number of turns have their lengths and the radii in the same ratio 1 : 2. The ratio of their self inductances will be:

  • (A) 1 : 2
  • (B) 2 : 1
  • (C) 1 : 1
  • (D) 1 : 4
Multiple Choice
ID- 15811

17. If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will:

  • (A) remain unchanged
  • (B) be halved
  • (C) be doubled
  • (D) become four times
Multiple Choice
ID- 15812

18. If coefficient of mutual industance of two coils depends on:

  • (A) medium between the coils
  • (B) distance between the two coils
  • (C) orientation of the two coils
  • (D) all of these
Multiple Choice
ID- 15813

19. A solenoid is connected to a battery so that a steady current flows through it. If an iron core is instead into the solenoid the current will:

  • (A) increase
  • (B) decrease
  • (C) remain same
  • (D) first increase then decrease
Multiple Choice
ID- 15814

20. The physical quantity which is measured in the unit of $\ce{Wb A^{–1}}$ is:

  • (A) self inductance
  • (B) mutual inductance
  • (C) megnetic flux
  • (D) both 'A' and 'B'
Multiple Choice
ID- 15815

21. The phase difference ф is related to path difference ∆x by:

  • (A) $\ce{\frac{λ}{π}}$ ф
  • (B) $\ce{\frac{π}{λ}}$ ф
  • (C) $\ce{\frac{λ}{2π}}$ ф
  • (D) $\ce{\frac{2π}{λ}}$ ф
Multiple Choice
ID- 15816

22. A 100 mH coil carries a current of 1 A. Energy stored in its magnetic field is:

  • (A) 0.5 J
  • (B) 0.05 J
  • (C) 1 J
  • (D) 0.1 J
Multiple Choice
ID- 15817

23. The unit of inductance is equivalent to:

  • (A) $\ce{\frac{volt x ampere}{second}}$
  • (B) $\ce{\frac{ampere}{volt x second}}$
  • (C) $\ce{\frac{volt}{ampere x second}}$
  • (D) $\ce{\frac{volt x second}{ampere}}$
Multiple Choice
ID- 15818

24. If the self inductance of 500 turns coil is 125 mH, then the self inductance of the similar soil of 800 turns is:

  • (A) 48.8 mH
  • (B) 200 mH
  • (C) 290 mH
  • (D) 320 mH
Multiple Choice
ID- 15819

25. Two identical coaxial coils P and Q carrying equal amount of current in the same direction are bought nearer. The current in:

  • (A) P increases while in Q decreses
  • (B) Q increases with in P decreases
  • (C) both P and Q increases
  • (D) both P and Q increases
Multiple Choice
ID- 15820

26. When a wire loop is rotated in a magnetic field, the direction of induced emf changes in every:

  • (A) one revolution
  • (B) $\frac{1}{2}$ revolution
  • (C) $\frac{1}{4}$ revolution
  • (D) 2 revolution
Multiple Choice
ID- 15821

27. The energy stored in an inductor of self inductance L henry carrying a current of I ampere is:

  • (A) $\ce{\frac{1}{2}L^2I}$
  • (B) $\ce{\frac{1}{2}LI^2}$
  • (C) $\ce{LI^2}$
  • (D) $\ce{L^2I}$
Multiple Choice
ID- 15822

28. Faraday's laws are consequence of the conservation of:

  • (A) charge
  • (B) energy
  • (C) magnetic field
  • (D) both 'B' and 'C'
Multiple Choice
ID- 15823

29. 1 henry is equal to:

  • (A) $\ce{\frac{weber}{ampere}}$
  • (B) $\ce{\frac{weber}{volt}}$
  • (C) weber ampere
  • (D) None of these
Multiple Choice
ID- 15824
BSEB, 2018 (C)

30. Henry is unit of:

  • (A) Inductance
  • (B) Magnetic flux
  • (C) Magnetic field
  • (D) Electric field
Multiple Choice
ID- 15825
BSEB, 2018 (C), 2019 (A)

31. The working of a dynamo is based on the principal of:

  • (A) Heating effect of electric current
  • (B) Electromagnetic Induction
  • (C) Chemical effect of electric current
  • (D) None of the above
Multiple Choice
ID- 15826

32. A transformer is used to light 100 W and 110 V lamp from a 220 V mains. If the main current is 0.5 A. Then the efficiency of the transformer is:

  • (A) 11%
  • (B) 50%
  • (C) 80%
  • (D) 90%
Multiple Choice
ID- 15827

33. The magnetic flux (ф) linked with a coil is related to it's area (s) as:

  • (A) ф $\ce{\propto s}$
  • (B) ф $\ce{\propto s^2}$
  • (C) ф $\ce{\propto 5^{1/2}}$
  • (D) ф $\ce{\propto s^{–1/2}}$
Multiple Choice
ID- 15828

34. The magnetic flux (ф) lined with a coil is related to the number of turns (N) of the coil as:

  • (A) ф $\ce{\propto N}$
  • (B) ф $\ce{\propto N^{–1}}$
  • (C) ф $\ce{\propto N^2}$
  • (D) ф $\ce{\propto N^{–2}}$
Multiple Choice
ID- 15829

35. The role of inductance is equivalent to:

  • (A) interia
  • (B) force
  • (C) energy
  • (D) momentum
Multiple Choice
ID- 15830

36. A coil of L = 8.4 mH and R = 6Ω is connected to a 12 V battery. The current in the coil is 1.0 A at approx time of:

  • (A) 500 s
  • (B) 20 s
  • (C) 35 ms
  • (D) 1 ms
Multiple Choice
ID- 15831

37. The average value of actually over a complete cycle is:

  • (A) $\ce{I_0}$
  • (B) $\ce{I^0}$
  • (C) $\ce{\frac{I_0}{\sqrt{2}}}$
  • (D) zero
Multiple Choice
ID- 15832

38. A disc of radius 0.1 m is rotating with a frequency 10 rev/sec. in a normal magnetic field of strength 0.1 tesla. Net induced emf is:

  • (A) $\ce{2π x 10^{–2} V}$
  • (B) $\ce{4π x 10^{–4} V}$
  • (C) $\ce{π x 10^{–2} V}$
  • (D) $\ce{3π x 10^{–2} V}$
Multiple Choice
ID- 15833

39. A wire of length 50 cm moves with a velocity of 300 m/min, perpendicular to a magnetic field. If the emf induced in the wire is 2V, the magnitude of the filed in tesla is:

  • (A) 2
  • (B) 5
  • (C) 0.4
  • (D) 0.8
Multiple Choice
ID- 15834

40. Who discovered that electric field is produced in a conductor when magnetic lines force intercepting it change?

  • (A) Maxwell
  • (B) Oerstred
  • (C) Lenz
  • (D) Faraday
Multiple Choice
ID- 15835

41. Power factor of an accident circuit is a measure of:

  • (A) virtual power
  • (B) power lost in the circuit
  • (C) mean power
  • (D) all the above
Multiple Choice
ID- 15836

42. The dimensional formula of L/R is similar to that of:

  • (A) frequency
  • (B) time
  • (C) length
  • (D) none of these
Multiple Choice
ID- 15837

43. The dimensional formula of impedance is:

  • (A) $\ce{[ML^2T^{–2}A^{–2}]}$
  • (B) $\ce{[ML^2T^{–3}A^{–2}]}$
  • (C) $\ce{[ML^2T^{–2}A^{–1}]}$
  • (D) $\ce{[ML^2T^{–2}A^{–3}]}$
Multiple Choice
ID- 15838

44. An iron core transformer with a turns ratio 8 : 1 has 120 V applied across the primary. The voltage across the secondary equals.

  • (A) 15 V
  • (B) 120 V
  • (C) 180 V
  • (D) 960 V
Multiple Choice
ID- 15839

45. A choke is used as a resistance in:

  • (A) dc circuits
  • (B) ac circuits
  • (C) both ac and dc circuits
  • (D) neither (A) nor (B)
Multiple Choice
ID- 15840

46. The SI unit of magnetic flux is:

  • (A) $\ce{T}$
  • (B) $\ce{Tm^{–2}}$
  • (C) $\ce{Wb}$
  • (D) $\ce{Wb m^{–2}}$
Multiple Choice
ID- 15841

47. For purely capacitive circuits, power factor is:

  • (A) 0
  • (B) –1
  • (C) 1
  • (D) infinity
Multiple Choice
ID- 15842

48. The magnetic flux linked with a coil is inversely proportional to the

  • (A) magnetic field
  • (B) area of cross section
  • (C) number of turns
  • (D) none of the above
Multiple Choice
ID- 15843

49. The energy stored in a 50 mH inductor carrying a current of 4A is:

  • (A) 0.1 J
  • (B) 0.4 J
  • (C) 0.04 J
  • (D) 0.01 J
Multiple Choice
ID- 15844

50. The core of a transformer is laminated because:

  • (A) rusting of core may be prevented
  • (B) ratio of voltage in primary and secondary may be increased.
  • (C) energy losses due to eddy current may be minimised
  • (D) The weight of transformer may be reduced
Multiple Choice
ID- 15845
BSEB, 2021 (A)

51. Inductive reactance offered by an inductor of inductance L in ac circuit of angular frequency ω is:

  • (A) $\ce{\frac{ω}{L}}$
  • (B) $\ce{ω · L}$
  • (C) $\ce{\frac{1}{ω · L}}$
  • (D) $\ce{\frac{L}{ω}}$
Multiple Choice
ID- 15846
BSEB, 2016

52. The dimensional formula of induced emf is:

  • (A) $\ce{[ML^2T^{–2}A^{–1}]}$
  • (B) $\ce{[ML^2T^{–3}A^{–1}]}$
  • (C) $\ce{[ML^2T^{–3}A^{–2}]}$
  • (D) $\ce{[ML^2T^{–2}A^{–2}]}$
Multiple Choice
ID- 15847

53. The dimensional formula of the coefficient of self inductance is:

  • (A) $\ce{[ML^2T^{–2}]}$
  • (B) $\ce{[ML^2T^{–2}A^{–1}]}$
  • (C) $\ce{[ML^2T^{–2}A^{–2}]}$
  • (D) $\ce{[ML^2T^{–3}A^{–2}]}$
Multiple Choice
ID- 15848
BSEB, 2019 (A)

54. The ratio of root mean square (rms) value and peak value of an alternating current is:

  • (A) $\sqrt{2}$
  • (B) $\frac{1}{\sqrt{2}}$
  • (C) $\frac{1}{2}$
  • (D) 2$\sqrt{2}$
Multiple Choice
ID- 15849
BSEB, 2019 (A), 2019 (C)

55. In a step-up transformer, no. of turns in primary and secondary coils are $\ce{N_1}$ and $\ce{N_2}$ then:

  • (A) $\ce{N_1 > N_2}$
  • (B) $\ce{N_2 > N_1}$
  • (C) $\ce{N_1 = N_2}$
  • (D) $\ce{N_1 = 0}$
Multiple Choice
ID- 15850
BSEB, 2018 (C)

56. In an alternating current circuit, the pase difference between current I and voltage in ф, the Wattless component of current will be:

  • (A) I cos ф
  • (B) I tan ф
  • (C) I sin ф
  • (D) I $\ce{cos^2}$ ф
Multiple Choice
ID- 15851

57. Transformer works on the principal of:

  • (A) Convertor
  • (B) invertor
  • (C) mutual induction
  • (D) self-induction
Multiple Choice
ID- 15852

58. Which of the following effects is not shown in alternating current?

  • (A) Chemical effect
  • (B) Magnetic effect
  • (C) Heating current
  • (D) All of these
Multiple Choice
ID- 15853

59. An ac ammeter connected in series in an circuit reads 5A. The peak value of current:

  • (A) 5A
  • (B) 5 $\sqrt{2}$ A
  • (C) $\frac{5}{\sqrt{5}}$ A
  • (D) zero
Multiple Choice
ID- 15854

60. Which of the following relationship is correct for power factor?

  • (A) Power factor = True average power x Apparent average power
  • (B) Power factor = $\ce{\frac{Apparent average power}{True average power}}$
  • (C) Power factor = $\ce{\frac{True average power}{Apparent average power}}$
  • (D) Power factor = $\frac{1}{2}$ [True average power x Apparent average power]
Multiple Choice
ID- 15855

61. Faraday constant:

  • (A) depends on the amount of the electrolyte
  • (B) depends on the current in the electrolyte
  • (C) is a universal constant
  • (D) depends on the amount of charge passed through the electrolyte
Multiple Choice
ID- 15856

62. A reject cicuit is:

  • (A) series resonant circuit
  • (B) paralle resonant circuit
  • (C) LCR circuit
  • (D) None of these
Multiple Choice
ID- 15857

63. The inductive reactance of an inductor coil of $\frac{1}{π}$ H at 50 Hz is:

  • (A) $\frac{50}{π}$ Ω
  • (B) $\frac{π}{50}$ Ω
  • (C) 100 Ω
  • (D) 50 Ω
Multiple Choice
ID- 15858
BSEB, 2021 (A)

64. Capacitive reactance is:

  • (A) $\frac{w}{π}$
  • (B) $\frac{c}{w}$
  • (C) w · c
  • (D) $\frac{1}{wc}$
Multiple Choice
ID- 15859
BSEB, 2021 (A)

65. Which of the following is correct for transformer?

  • (A) It converts A.C. into D.C.
  • (B) It converts D.C. into A.C.
  • (C) It increases or decreses D.C. voltage
  • (D) It increases or decreses A.C. voltage
Multiple Choice
ID- 15860

66. Two coils X and Y ate connected in series across a 240 V, 50 Hz supply. The resistance of X is 5Ω and inductance of Y is 0.02 H. The power consumed in 3 kW and the power factor is 0.75. The impedance of the circuit is:

  • (A) 0.144 Ω
  • (B) 1.44 Ω
  • (C) 14.4 Ω
  • (D) 144 Ω
Multiple Choice
ID- 15861

67. A chock coil is a coil having:

  • (A) low inductance and high resistance
  • (B) low inductance and low resistance
  • (C) high inductance and high resistance
  • (D) high inductance and negligence resistance
Multiple Choice
ID- 15862

68. Quantity that remains unchanged in a transformer is:

  • (A) frequency
  • (B) current
  • (C) voltage
  • (D) None of these
Multiple Choice
ID- 15863

69. Which quantity in increased in a step-down transformer?

  • (A) Current
  • (B) Voltage
  • (C) Power
  • (D) Frequency
Multiple Choice
ID- 15864

70. Skin effect is associated with:

  • (A) a.c. only
  • (B) d.c only
  • (C) a.c. and d.c. both
  • (D) None of these
Multiple Choice
ID- 15865

71. Power factor in series LCR circuit is:

  • (A) R/Z
  • (B) R.Z
  • (C) Z/R
  • (D) ωL/R
Multiple Choice
ID- 15866

72. In L-C-R circuit produce resonance:

  • (A) ωc = $\frac{1}{ωL}$
  • (B) ωL = $\frac{1}{ωc}$
  • (C) ωL = ωc
  • (D) None
Multiple Choice
ID- 15867

73. In A.C. circuit:

  • (A) frequency does not depend upon impedance
  • (B) frequency increases with impedance
  • (C) frquency decreases with impedance
  • (D) frequency in universely proportional to impedance
Multiple Choice
ID- 15868

74. The peak voltage of 220 V A.C. mains is:

  • (A) 155.6
  • (B) 220
  • (C) 311
  • (D) 440
Multiple Choice
ID- 15869

75. The voltage and current in an A.C. are given by V = 5 sin (100 $π$t – $π$/6); I = (100 $π$t + $π$/6), then:

  • (A) voltage leads current by 30°
  • (B) current leads voltage by 60°
  • (C) current leads voltage by 30°
  • (D) voltage leads current by 60°
Multiple Choice
ID- 15870
BSEB, 2016

76. Hot wire ammeter measures:

  • (A) peak value of ac
  • (B) average value of ac
  • (C) r.m.s. ac
  • (D) none of these
Multiple Choice
ID- 15871
BSEB, 2016

77. If $\ce{N_1}$ and $\ce{N_2}$ are numbers of primary and secondary coils of a step-up transformer, then:

  • (A) $\ce{N_1}$ > $\ce{N_2}$
  • (B) $\ce{N_2}$ > $\ce{N_1}$
  • (C) $\ce{N_1}$ = $\ce{N_2}$
  • (D) $\ce{N_1}$ = 0
Multiple Choice
ID- 15872
BSEB, 2016, 2019 (A)

78. The power factor of L-R circuit is:

  • (A) R + WL
  • (B) $\ce{\frac{R}{\sqrt{R^2 + W^2L^2}}}$
  • (C) $\ce{R\sqrt{R^2 + W^2L^2}}$
  • (D) WL/R
Multiple Choice
ID- 15873
BSEB, 2016

79. When an ammeter is shuted, its measuring range

  • (A) increases
  • (B) decreases
  • (C) remains constant
  • (D) none of these
Multiple Choice
ID- 15874
BSEB, 2017 (A)

80. The relation between peak current $\ce{I_0}$ and root mean square current $\ce{I_{rms}}$ is:

  • (A) $\ce{I_0 = \sqrt{2}I_{rms}}$
  • (B) $\ce{I_0 = I_{rms}}$
  • (C) $\ce{I_0 = 2I_{rms}}$
  • (D) $\ce{I_0 = \frac{I_{rms}}{\sqrt{2}}}$
Multiple Choice
ID- 15875
BSEB, 2018 (A)

81. A charge 'q' moves in a region where electric field 'E' and magnetic field 'B' both exist, then force on it is:

  • (A) $\ce{q}$ ($\overset{→}{v}$ x $\overset{→}{B}$)
  • (B) $\ce{q \overset{→}{E}}$
  • (C) $\ce{q}$ {$\overset{→}{E}$ + ($\overset{→}{v}$ x $\overset{→}{B}$)}
  • (D) $\ce{q}$ {$\overset{→}{B}$ + ($\overset{→}{v}$ x $\overset{→}{B}$)}
Multiple Choice
ID- 15876
BSEB, 2018 (A)

82. A circular coil of radius r carries a current I. The magnetic field at its centre is B. At what distance from the centre, or the axis of the coil, the magnetic field will be B/8:

  • (A) $\sqrt{2}$R
  • (B) 2R
  • (C) $\sqrt{3}$R
  • (D) 3R
Multiple Choice
ID- 15877
BSEB, 2017 (C)

83. Unit of $\ce{\frac{1}{Lw}}$ is unit of:

  • (A) R
  • (B) Lw
  • (C) Both 'A' and 'B'
  • (D) None of these
Multiple Choice
ID- 15878
BSEB, 2017 (C)

84. The convert a galvanometer into voltmeter requirement is of:

  • (A) high resistance
  • (B) low resistance
  • (C) condenser
  • (D) inductor
Multiple Choice
ID- 15879
BSEB, 2017 (C)

85. S.I. unit of decay constant is:

  • (A) hertz
  • (B) meter
  • (C) per meter
  • (D) none of these
Multiple Choice
ID- 15880
BSEB, 2018 (A)

86. In A.C. circuits, the current and voltage are given by I = 5 cos wt, and V = 200 sin wt respectively. Power loss in the circuit is:

  • (A) 20 W
  • (B) 40 W
  • (C) 1000 W
  • (D) zero
Multiple Choice
ID- 15881
BSEB, 2018 (A)

87. The value of maximum amplitude produced due to interference of two waves is given by y = 4 sin wt and $y_2$ = 3 cos wt.

  • (A) 7
  • (B) 5
  • (C) 1
  • (D) 25
Multiple Choice
ID- 15882
BSEB, 2017 (C)

88. If phase difference between current and potential difference is φ, then power factor will be:

  • (A) sin φ
  • (B) cos φ
  • (C) tan φ
  • (D) None of these