MHT CET 2025 25th April Evening Shift | Alternating Current Question 1 | Physics

In an $L R$ circuit, the value of $L$ is $\left(\frac{0.3}{\pi}\right)$ henry and the value of R is $40 \Omega$, If in the circuit, an alternating e.m.f of 230 V at 50 cycles per second is connected, the impedance of the circuit and current will be respectively

$12.5 \Omega, 9.2 \mathrm{~A}$

$46.4 \Omega, 6.4 \mathrm{~A}$

$23.2 \Omega, 5 \mathrm{~A}$

$50 \Omega, 4.6 \mathrm{~A}$

MHT CET 2025 25th April Evening Shift

MCQ (Single Correct Answer)

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In an a.c. circuit, a resistance ' $R$ ' is connected in series with an inductance ' $L$ '. If phase angle between voltage and current is $45^{\circ}$, the value of inductive reactance will be $\left(\tan 45^{\circ}=1\right)$

$\frac{\mathrm{R}}{2}$

$\frac{\mathrm{R}}{4}$

$\frac{\mathrm{R}}{\sqrt{2}}$

MHT CET 2025 25th April Evening Shift

MCQ (Single Correct Answer)

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An a.c. source of frequency ' f ' is connected to a circuit containing an inductance ' $L$ ' and resistance ' R ' in series. The impedance of this circuit is

$\sqrt{\mathrm{R}^2+2 \pi \mathrm{fL}^2}$

$\sqrt{\mathrm{R}^2+\mathrm{L}^2}$

$\mathrm{R}+2 \pi \mathrm{fL}$

$\sqrt{\mathrm{R}^2+4 \pi^2 \mathrm{f}^2 \mathrm{~L}^2}$

MHT CET 2025 25th April Morning Shift

MCQ (Single Correct Answer)

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The reactance of a capacitor is $\mathrm{X}_{\mathrm{C}}$. If the frequency and the capacitance are doubled, then the new reactance will be

$\frac{X_C}{2}$

$\mathrm{X}_{\mathrm{C}}$

$\frac{X_C}{4}$

$2 X_C$

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