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

A continuous random variable X has a probability density function f(x) = e${}^{-x}$, 0 < x < ∞. Then P{X > 1} is

The curl of the gradient of the scalar field defined by V = 2x²y + 3y²z + 4z²x is

In the feedback network shown below, if the feedback factor k is increased, then the

The input impedance of the permanent magnet moving coil (PMMC) voltmeter is infinite. Assuming that the diode shown in the figure below is ideal, the reading of the voltmeter in Volts 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