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JEE Main 202529 JanuaryMorning Shift
Exam
JEE Main
Year
2025
Date
29 January
Shift
Morning Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2025 · 29 January · Morning Shift · Physics · Alternating Current

Given below are two statements : one is labelled as Assertion (A)...

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Choke coil is simply a coil having a large inductance but a small resistance. Choke coils are used with fluorescent mercury-tube fittings. If household electric power is directly connected to a mercury tube, the tube will be damaged. Reason (R): By using the choke coil, the voltage across the tube is reduced by a factor (\left(R / \sqrt{R^2+\omega^2 L^2}\right)), where (\omega) is frequency of the supply across resistor RR and inductor L . If the choke coil were not used, the voltage across the resistor would be the same as the applied voltage. In the light of the above statements, choose the most appropriate answer from the options given below :Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion

Options

  1. A(A)(A) is true but (R) is false
  2. BBoth (A) and (R) are true and (R) is the correct explanation of (A)
  3. C(A) is false but (R) is true
  4. DBoth ((\mathbf{A})) and ((\mathbf{R})) are true but ((\mathbf{R})) is not the correct explanation of ((\mathbf{A}))

Correct answer

B. Both (A) and (R) are true and (R) is the correct explanation of (A)

Step-by-step solution

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion
I=VR2+ω2L2I=\frac{V}{\sqrt{R^2+\omega^2 L^2}} VR=RR2+ω2L2VV_R=\frac{R}{\sqrt{R^2+\omega^2 L^2}} V
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