MHT CET 2025 19th April Evening Shift | Alternating Current Question 9 | Physics

An a.c. source is applied to a series LR circuit with $\mathrm{X}_{\mathrm{L}}=3 \mathrm{R}$ and power factor is $\mathrm{X}_1$. Now a capacitor with $\mathrm{X}_{\mathrm{c}}=\mathrm{R}$ is added in series to LR circuit and the power factor is $\mathrm{X}_2$. The ratio $\mathrm{X}_1$ to $\mathrm{X}_2$ is

$1: 2$

$2: 1$

$1: \sqrt{2}$

$\sqrt{2}: 1$

MHT CET 2025 19th April Morning Shift

MCQ (Single Correct Answer)

-0

A series LCR circuit is connected to an a.c. source of $230 \mathrm{~V}, 50 \mathrm{~Hz}$. The circuit contains resistance of $80 \Omega$ an inductor having inductive reactance $70 \Omega$ and a capacitor of capacitive reactance $130 \Omega$. The power factor of the circuit is $x$. The value of $x$ is

0.4

0.8

0.6

0.9

MHT CET 2025 19th April Morning Shift

MCQ (Single Correct Answer)

-0

An alternating voltage $\mathrm{E}=100 \sqrt{2} \sin (50 \mathrm{t})$ is connected to a $2 \mu \mathrm{~F}$ capacitor through an a.c. ammeter. The ammeter reading will be

10 mA

5 mA

20 mA

30 mA

MHT CET 2025 19th April Morning Shift

MCQ (Single Correct Answer)

-0

The instantaneous value of current in an a.c. circuit is $I=3 \sin \left(50 \pi t+\frac{\pi}{4}\right) \mathrm{A}$. The current will be maximum for the first time at

$\frac{1}{50} \mathrm{~s}$

$\frac{1}{100} \mathrm{~s}$

$\frac{1}{200} \mathrm{~s}$

$\frac{1}{600} \mathrm{~s}$

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