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12th Grade > Physics

ALTERNATING CURRENT MCQs

Total Questions : 30 | Page 1 of 3 pages
Question 1. A bulb and a capacitor are in series with an ac source. On increasing frequency how will glow of the bulb change
  1.    The glow decreases
  2.    The glow increases
  3.    The glow remain the same
  4.    The bulb quenches
 Discuss Question
Answer: Option B. -> The glow increases
:
B
The glow increases because, when frequency vis increased, the capacitive reactance Xc=12πvCdecreases and hence the current through the bulb increases which will lead to increase in glow
Question 2. If power factor is 12 in a series RL circuit R = 100Ω. AC mains is used then L is
  1.    √3π Henry
  2.    π Henry
  3.    π√3 Henry
  4.    None of these
 Discuss Question
Answer: Option A. -> √3π Henry
:
A
cosϕ=12ϕ=60,tan60=ωLRL=3πH
Question 3. The reading of ammeter in the circuit shown will be 
The Reading Of Ammeter In The Circuit Shown Will Be 
  1.    2A
  2.    2.4 A
  3.    Zero
  4.    1.7 A
 Discuss Question
Answer: Option A. -> 2A
:
A
Given XL=XC=5Ω this is the condition of resonance. Since VL=VCnet voltage across L and C combination will be zero.
Voltage drop across the resistance = 110v. Thus current flowing though Ammeter reading =110v55=2A.
Question 4. In the adjoining figure the impedance of the circuit will be
In The Adjoining Figure The Impedance Of The Circuit Will Be...
  1.    120 ohm
  2.    50 ohm
  3.    60 ohm
  4.    45 ohm
 Discuss Question
Answer: Option D. -> 45 ohm
:
D
iL=9030=3A, ic=9090=1A
Net current through circuit i=iciL=2A
Z=Vi=902=45Ω
Question 5. A resistor R, an inductor L and a capacitor C are connected in series to an oscillator of frequency n. If the resonant frequency is , then the current lags behind voltage, when
  1.    n = 0
  2.    n
  3.    n= nr
  4.    n> nr
 Discuss Question
Answer: Option D. -> n> nr
:
D
The current will lag behind the voltage when reactance of inductance is more than the reactance of condenser. Thus, ωL>1wCor ω>1LC or n>12πLCor n>nrwhere nr= resonant frequency
Question 6. Following figure shows an ac generator connected to a "block box" through a pair of terminals. The box contains possible R, L, C or their combination, whose elements and arrangements are not known to us. Measurements outside the box reveals that e = 75 sin (sin  ωt) volt, i = 1.5 sin (ωt + 45) amp then, the wrong statement is 
Following Figure Shows An Ac Generator Connected To A
  1.    There must be a capacitor in the box 
  2.    There must be no inductor in the box
  3.    There must be a resistance in the box
  4.    The power factor is 0.707
 Discuss Question
Answer: Option B. -> There must be no inductor in the box
:
B
Since voltage is lagging behind the current, so there must be no inductor in the box.
Question 7. The variation of the instantaneous current (I) and the instantaneous emf (E) in a circuit is as shown in fig. Which of the following statements is correct 
The Variation Of The Instantaneous Current (I) And The Insta...
  1.    The voltage lags behind the current by Π2
  2.    The voltage leads the current by Π2
  3.    The voltage and the current are in phase 
  4.    The voltage leads the current by Π
 Discuss Question
Answer: Option B. -> The voltage leads the current by Π2
:
B
At t = 0, phase of the voltage is zero, while phase of the current is π2 i.e., voltage leads by π2
Question 8. The instantaneous values of current and voltage in an ac circuit are I=100sin(314)t A and E=200sin (314t+π3)V  respectively. If the resistance is 1W then the reactance of the circuit will be
  1.    −200√3Ω
  2.    √3Ω
  3.    −200√3Ω
  4.    100√3 Ω
 Discuss Question
Answer: Option B. -> √3Ω
:
B
V0=ioZ200=100ZZ=2Ω
Also Z2=R2+X2L(2)2=(1)2+X2LXL=3Ω
Question 9. The instantaneous values of current and emf in an ac circuit are I=12sin 314tamp and E= 2 sin(314tΠ6)V respectively. The phase difference between E and I will be
  1.    −Π6rad
  2.    −Π3rad
  3.    Π6rad
  4.    Π3rad
 Discuss Question
Answer: Option A. -> −Π6rad
:
A
Phase difference relative to the current ϕ=(314tπ6)(314t)=π6
Question 10. The r.m.s. current in an ac circuit is 2 A. If the watt less current be 3 A , what is the power factor
  1.    1√3
  2.    13
  3.    1√2
  4.    12
 Discuss Question
Answer: Option D. -> 12
:
D
iwL=irmssinϕ3=2sinϕsinϕ=32
ϕ=60 so p.f =cosϕ=cos60=12.

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