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Alternating Current

JEE Main 2024 (Online) 1st February Morning ShiftMCQEasy📈 Topic in 14% papers+4−1
Ques. 1JEE Main 2024, 1 February (Morning Shift)

In series LCR circuit, the capacitance is changed from C to 4C. To keep the resonance frequency unchanged, the new inductance should be:

  1. increased by 2 L
  2. reduced by 14 L
  3. reduced by 34 L
  4. increased to 4 L

Answer

(3) reduced by 34 L

Solution

f0 = 12 LC unchanged L'C' = LC

L'(4C) = LC L' = L4

decrease = L - L4 = 34L

Answer: (3)

Keep practising — Alternating Current

Ques. 2JEE Main 2024, 1 February (Evening Shift)

A transformer has an efficiency of 80\% and works at 10 V and 4 kW. If the secondary voltage is 240 V, then the current in the secondary coil is :

  1. 1.33 A
  2. 13.33 A
  3. 1.59 A
  4. 15.1 A
Ques. 3JEE Main 2024, 31 January (Evening Shift)

An AC voltage V=20 200 t is applied to a series LCR circuit which drives a current I=10 (200 t+ 3 ). The average power dissipated is:

  1. 21.6 W
  2. 200 W
  3. 173.2 W
  4. 50 W
Ques. 4JEE Main 2024, 30 January (Morning Shift)

Primary coil of a transformer is connected to 220 V ac. Primary and secondary turns of the transformer are 100 and 10 respectively. Secondary coil of transformer is connected to two series resistances shown in figure. The output voltage (V0) is : [figure]

  1. 7 V
  2. 44 V
  3. 22 V
  4. 15 V
Ques. 5JEE Main 2024, 30 January (Morning Shift)

A series L.R circuit connected with an ac source E=(25 1000t) V has a power factor of 1 2. If the source of emf is changed to E=(20 2000t) V, the new power factor of the circuit will be :

  1. 1 3
  2. 1 2
  3. 1 5
  4. 1 7
Ques. 6JEE Main 2024, 30 January (Evening Shift)

An alternating voltage V(t)=220 100 t volt is applied to a purely resistive load of 50 . The time taken for the current to rise from half of the peak value to the peak value is:

  1. 7.2 ms
  2. 3.3 ms
  3. 5 ms
  4. 2.2 ms
Ques. 7JEE Main 2024, 30 January (Evening Shift)

A power transmission line feeds input power at 2.3 kV to a step down transformer with its primary winding having 3000 turns. The output power is delivered at 230 V by the transformer. The current in the primary of the transformer is 5 A and its efficiency is 90\%. The winding of transformer is made of copper. The output current of transformer is A.

Ques. 8JEE Main 2024, 29 January (Morning Shift)

A capacitor of capacitance 100 is charged to a potential of 12 V and connected to a 6.4 mH inductor to produce oscillations. The maximum current in the circuit would be :

  1. 2.0 A
  2. 3.2 A
  3. 1.5 A
  4. 1.2 A
Ques. 9JEE Main 2024, 29 January (Evening Shift)

In an a.c. circuit, voltage and current are given by: V=100 (100t) V and I=100 (100t+ 3 )mA respectively. The average power dissipated in one cycle is:

  1. 5 W
  2. 25 W
  3. 2.5 W
  4. 10 W
Ques. 10JEE Main 2024, 27 January (Evening Shift)

Primary side of a transformer is connected to 230 V, 50 Hz supply. Turns ratio of primary to secondary winding is 10:1. Load resistance connected to secondary side is 46 . The power consumed in it is :

  1. 11.5 W
  2. 12.5 W
  3. 10.0 W
  4. 12.0 W
Ques. 11JEE Main 2024, 27 January (Evening Shift)

A series LCR circuit with L= 100 mH, C= 10-3 F and R=10 , is connected across an ac source of 220 V, 50 Hz supply. The power factor of the circuit would be .

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