GATE EC 2013 Question Paper (10-Feb-2013) (Shift 2)

The maximum value of θ until which the approximation sinθ ≈ θ holds to within 10% error is

The divergence of position vector $\bar{r}=xi+yj+zk$ is

The impulse response of a system is $h\left(t\right)=tu\left(t\right)$. For an input $u\left(t-1\right)$, the output is ______

The Bode plot of a transfer function G (s) is shown below



The gain $20log\left|G\left(s\right)\right|$ is 32 dB at 1 rad/s and - 8 dB at 10 rad/s respectively. The phase is negative for all ω , then G (s) is

In the circuit shown below what is the output voltage (Vout) if a silicon transistor Q and ideal op-amp are used