Half power frequencies for the circuit shown below are 200rad/s and 800 rad/s. The value of the product LC is $(is secon{d}^2/radia{n}^2)$

$1. 6.25 \times {10}^{-3}$
$2. 6.25\times {10}^{-6}$
$3. 1.25\times {10}^{-3}$
$4. 1.25\times {10}^{-5}$

The power factor of the given circuit is:
             

In LC oscillation, what is the current in the circuit when the total energy is stored in the form of magnetic energy?
(q₀ is the maximum charge stored by the capacitor)

$1.$ $Zero$ $$
$2.$ $\frac{q_0}{\sqrt{Lc}}$ $$
$3.$ $\frac{q_0}{LC}$ $$
$4.$ $q_0\sqrt{LC}$

The variation of alternating current (l) with time (t) is shown in the given graph. The average value of current for half cycle is:
         

$1. \frac{2{/}_0}{\pi }$
$2. \frac{l_0}{\sqrt{2}}$
$3. \frac{l_0}{2}$
$4. Zero$

A capacitor and a resistor are connected in series across a.c. supply. Which of the following phasor diagram may be correct?

1.

2.

3.

4.

An inductor of inductance (L), a capacitor of capacitance (C), and a resistor of resistance (R) are connected in series across $E=E_0\sin \frac{t}{\sqrt{LC}}$, The reading of hot wire voltmeter connected across the resistor is

$1. E_0$
$2. \frac{E_0}{\sqrt{2}}$
$3. \frac{E_0}{2}$
$4. zero$

The ratio of resonant angular frequency and bandwidth of a given series LCR circuit is-

1. Inversely proportional to the angular frequency of ac

2. Directly proportional to the angular frequency of ac

3. Independent of the angular frequency of ac

4. Directly proportional to the square of the angular frequency of a.c