JEE Main 2023 (Online) 31st January Evening Shift | Alternating Current Question 33 | Physics

An alternating voltage source $\mathrm{V}=260 \sin (628 \mathrm{t}$ ) is connected across a pure inductor of $5 \mathrm{mH}$ Inductive reactance in the circuit is :

$6.28 \Omega$

$0.318 \Omega$

$0.5 \Omega$

$3.14 \Omega$

JEE Main 2023 (Online) 31st January Morning Shift

MCQ (Single Correct Answer)

-1

If $$\mathrm{R}, \mathrm{X}_{\mathrm{L}}$$, and $$\mathrm{X}_{\mathrm{C}}$$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless :

$$\frac{R}{X_{L} X_{C}}$$

$$R X_{L} X_{C}$$

$$\frac{R}{\sqrt{X_{L} X_{C}}}$$

$$R \frac{X_{L}}{X_{C}}$$

JEE Main 2023 (Online) 30th January Evening Shift

MCQ (Single Correct Answer)

-1

In the given circuit, rms value of current $\left(I_{\mathrm{rms}}\right)$ through the resistor $R$ is:

JEE Main 2023 (Online) 30th January Evening Shift Physics - Alternating Current Question 38 English

JEE Main 2023 (Online) 30th January Evening Shift Physics - Alternating Current Question 38 English

$ 2 \sqrt{2} \mathrm{~A}$

$2 \mathrm{~A}$

$\frac{1}{2} \mathrm{~A}$

$20 \mathrm{~A}$

JEE Main 2023 (Online) 30th January Morning Shift

MCQ (Single Correct Answer)

-1

In a series LR circuit with $$\mathrm{X_L=R}$$, power factor P₁. If a capacitor of capacitance C with $$\mathrm{X_C=X_L}$$ is added to the circuit the power factor becomes P₂. The ratio of P₁ to P₂ will be :

1 : $$\sqrt2$$

1 : 3

1 : 2

1 : 1

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