Frequency of Oscillations in LC Circuit

Q.

A capacitor of capacitance 1 μF is charged to a potential of 1 V. It is connected in parallel to an inductor of inductance 10^-3 H. The maximum current that will flow in the circuit has the value

1. 

2. 1 mA

3. 1 μF

4. 1000 mA

Q. A capcitor of capacitance $25\mu F$ is charged to $300V$. It is then connected across a $10mH$ inductor. What is the frequency of oscillation of the circuit? The resistance of the circuit is negligible

1. $\frac{1000}{\pi }Hz$
2. $\frac{1000}{\sqrt{3}}Hz$
3. $\frac{100}{\pi }Hz$
4. $\frac{100}{\sqrt{2}}Hz$

Q. When air in a capacitor is replaced by a medium of dielectric constant K, the capacity

1. Decreases K times
2. Increases K times
3. Increases 1/K times
4. Remains constant

Q. An inductance of 1 mH and a charged capacitor capacitance of 10$\mu$F are connected across each other. The resonating angular frequency of circuit is

1. ${10}^{5}rad/s$
2. ${10}^{4}rad/s$
3. ${10}^{3}rad/s$
4. ${10}^{2}rad/s$

Q. An inductance of 1 mH and a charged capacitor capacitance of 10$\mu$F are connected across each other. The resonating angular frequency of circuit is

1. ${10}^{5}rad/s$
2. ${10}^{4}rad/s$
3. ${10}^{3}rad/s$
4. ${10}^{2}rad/s$

Q. If an LC circuit has C= 1uF and L=0.25 henry, neglecting any resistance in the circuit, what is the frequency of oscillation?
(BHU 2003; MP PMT 2005)

1. 100Hz
2. 318Hz
3. 576Hz
4. 812Hz