MHT CET 2024 11th May Evening Shift | Alternating Current Question 16 | Physics

When 100 V d.c. is applied across a solenoid, a current of 1 A flows in it. When 100 a.c. is applied across it, the current drops to 0.5 A. If the frequency is 50 Hz , the impedance and inductance is

$200 \Omega, \sqrt{3} / \pi \mathrm{H}$

$100 \Omega, \sqrt{3} \mathrm{H}$

$200 \Omega, 1 \mathrm{H}$

$100 \Omega, 1 \mathrm{H}$

MHT CET 2024 11th May Evening Shift

MCQ (Single Correct Answer)

-0

In LCR resonant circuit, the current and voltage have phase difference

$\frac{\pi}{4}$

$\frac{\pi}{2}$

$-\frac{\pi}{2}$

zero

MHT CET 2024 11th May Morning Shift

MCQ (Single Correct Answer)

-0

An inductance of $\frac{300}{\pi} \mathrm{mH}$, a capacitance of $\frac{1}{\pi} \mathrm{mF}$ and a resistance of $20 \Omega$ are connected in series with an a.c. source of $240 \mathrm{~V}, 50 \mathrm{~Hz}$. The phase angle of the circuit is

$\tan ^{-1}(0)$

$\tan ^{-1}\left(\frac{1}{\sqrt{3}}\right)$

$\tan ^{-1}(1)$

$\tan ^{-1}(\sqrt{3})$

MHT CET 2024 11th May Morning Shift

MCQ (Single Correct Answer)

-0

With an alternating voltage source frequency ' f ', inductor ' $L$ ', capacitor ' $C$ ' and resistance ' $R$ ' are connected in series. The voltage leads the current by $45^{\circ}$. The value of ' $L$ ' is $\left(\tan 45^{\circ}=1\right)$

$\left(\frac{1+2 \pi \mathrm{fCR}}{4 \pi^2 \mathrm{f}^2 \mathrm{C}}\right)$

$\left(\frac{1-2 \pi f C R}{4 \pi^2 \mathrm{f}^2 \mathrm{C}}\right)$

$\left(\frac{4 \pi^2 \mathrm{f}^2 \mathrm{C}}{1+2 \pi \mathrm{fCR}}\right)$

$\left(\frac{4 \pi^2 \mathrm{f}^2 \mathrm{C}}{1-2 \pi \mathrm{fCR}}\right)$

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