Q70 / 90 · JEE Main 2022 (24 Jun Shift 2) · Physics

Given below are two statements :
Statement-I: The reactance of an ac circuit is zero. It is possible that the circuit contains a capacitor and an inductor.
Statement-II: In ac circuit, the average power delivered by the source never becomes zero.
In the light of the above statements, choose the correct answer from the options given below

  • A
    Both Statement I and Statement II are true.
  • B
    Both Statement I and Statement II are false.
  • Correct answer
    C
    Statement I is true but Statement II is false.
  • D
    Statement I is false but Statement II is true.

Solution

The reactance of a circuit containing a capacitor and an inductor is given by X=XL-XC=ωL-1ωC. An AC circuit has zero reactance at resonance, i.e., when, XL=XC. So, first statement is true.

The power consumption in an AC circuit is zero when circuit contains only inductance or capacitance since average power consumed in a cycle is zero for inductance or capacitance. So, second statement is false.

Hence, the correct answer is option: 'C'.

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