Resonance

Q. A resonant ac circuit contains a capacitor of capacitance ${10}^{-6}F$ and an inductor of ${10}^{-4}H$. The frequency of electrical oscillations will be

1. ${10}^{5}Hz$
2. $10Hz$
3. $\frac{{10}^5}{2\pi }Hz$
4. $\frac{10}{2\pi }Hz$

Q. During the phenomenon of resonance

1. The amplitude of oscillation becomes large
2. The frequency of oscillation become large
3. The time period of oscillation becomes large
4. All of the above

Q. A resonant ac circuit contains a capacitor of capacitance ${10}^{-6}F$ and an inductor of ${10}^{-4}H$. The frequency of electrical oscillations will be

1. ${10}^{5}Hz$
2. $10Hz$
3. $\frac{{10}^5}{2\pi }Hz$
4. $\frac{10}{2\pi }Hz$

Q. In LCR circuit, resonant frequency is $600\text{Hz}$ and half power points are at $650$ Hz and $550\text{Hz}$. The quality factor is

1. $\frac{1}{6}$
2. $\frac{1}{3}$
3. $6$
4. $3$

Q. For an RLC circuit driven with voltage of amplitude $v_m$ and frequency ${\omega }_0=\frac{1}{\sqrt{LC}}$, the current exhibits resonance. The quality factor, Q, is given by

1. $\frac{R}{\left({\omega }_{0}C\right)}$
2. $\frac{{\omega }_{0}R}{L}$
3. $\frac{CR}{{\omega }_0}$
4. $\frac{{\omega }_{0}L}{R}$

Q. For an RLC circuit driven with voltage of amplitude $v_m$ and frequency ${\omega }_0=\frac{1}{\sqrt{LC}}$, the current exhibits resonance. The quality factor, Q, is given by

1. $\frac{R}{\left({\omega }_{0}C\right)}$
2. $\frac{{\omega }_{0}L}{R}$
3. $\frac{{\omega }_{0}R}{L}$
4. $\frac{CR}{{\omega }_0}$

Q. For an $LCR$ circuit, resonance frequency is ${\omega }_o$ and bandwidth is $△\omega$, then

1. circuit is inductive for $({\omega }_o-\frac{△\omega }{2})$
2. circuit is capacitive for $({\omega }_o+\frac{△\omega }{2})$
3. circuit is resistive for $({\omega }_o-\frac{△\omega }{2})$
4. circuit is inductive for $({\omega }_o+\frac{△\omega }{2})$