In the circuit below, the opamp is ideal.
![GATE ECE 2024 Analog Circuits - Operational Amplifier Question 1 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lxl01ui4/c3a7ba5d-dd17-425d-aec3-1125a2ca1b8f/6a78bec0-2dc5-11ef-ab56-674ed58d7efd/file-jaoe38c1lxl01ui5.png?format=png)
If the circuit is to show sustained oscillations, the respective values of $R_1$ and the corresponding frequency of oscillation are ____.
The $$\mathrm{{{{V_{OUT}}} \over {{V_{IN}}}}}$$ of the circuit shown below is
A sample and hold circuit is implemented using a resistive switch and a capacitor with a time constant of 1 $$\mu$$s. The time for the sampling switch to stay closed to charge a capacitor adequately to a full scale voltage of 1 V with 12-bit accuracy is ___________ $$\mu$$s (rounded off to two decimal places).
A circuit with an ideal OPAMP is shown. The Bode plot for the magnitude (in dB) of the gain transfer function (Av(j$$\omega$$) = Vout(j$$\omega$$)/Vin(j$$\omega$$)) of the circuit is also provided (here, $$\omega$$ is the angular frequency in rad/s). The values of R and C are __________.