A resistance of $300~\Omega$ and an inductance of $\frac{1}{\pi}$ henry are connected in series to an AC voltage of $20$ volts and a $200$ Hz frequency. The phase angle between the voltage and current will be:

In a LCR circuit having L = 8.0 henry, C = 0.5 μF and R = 100 ohm in series. The resonance frequency in radian per second is 

1. 600 radian/second

2. 600 Hz

3. 500 radian/second

4. 500 Hz

The phase difference between the current and voltage of LCR circuit in series combination at resonance is 

1. 0

2. π/2

3. π

4. –π

In a series LCR circuit, resistance R = 10Ω and the impedance Z = 20Ω. The phase difference between the current and the voltage is 

1. 30°

2. 45°

3. 60°

4. 90°

In an ac circuit the reactance of a coil is $\sqrt{3}$ times its resistance, the phase difference between the voltage across the coil to the current through the coil will be:
1. $\pi / 3$
2. $\pi / 2$
3. $\pi / 4$
4. $\pi / 6$

The capacity of a pure capacitor is 1 farad. In dc circuits, its effective resistance will be 

1. Zero

2. Infinite

3. 1 ohm

4. 1/2 ohm

In an $LCR$ circuit, the potential difference between the terminals of the inductance is $60$ V, between the terminals of the capacitor is $30$ V and that between the terminals of the resistance is $40$ V. The supply voltage will be equal to:

1. $50$ V

2. $70$ V

3. $130$ V

4. $10$ V

In an LR-circuit, the inductive reactance is equal to the resistance R of the circuit. An e.m.f. $E=E_0\cos \left(\omega t\right)$ applied to the circuit. The power consumed in the circuit is:

1. $\frac{E_0^2}{R}$

2. $\frac{E_0^2}{2R}$

3. $\frac{E_0^2}{4R}$

4. $\frac{E_0^2}{8R}$

In the circuit given below, what will be the reading of the voltmeter 

1. 300 V

2. 900 V

3. 200 V

4. 400 V