GATE EC 2011 Question Paper (13-Feb-2011) (Shift 2)

Consider the following statements regarding the complex Poynting vector $\vec{P}$ for the power radiated by a point source in an infinite homogeneous and lossless medium. $Re\left(\vec{P}\right)$ denotes the real part of $\vec{P}$ , S denotes a spherical surface whose centre is at the point source, and $\hat{n}$ denotes the unit surface normal on S. which of the following statements is TRUE ?

A transmission line of characteristic impedance 50 Ω is terminated by a 50 Ω load. When excited by a sinusoidal voltage source at 10 GHz, the phase difference between two points spaced 2 mm apart on the line is found to be π/4 radians. The phase velocity of the wave along the line is

An analog signal is bandlimited to 4 KHz, sampled at Nyquist rate and the samples are quantized into 4 levels. The quantized levels are assumed to be independent and equally probable. If we transmit two quantized samples per sec, the information rate is

The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by(double pole at -3)

A system is defined by its impulse response h(n) = 2ⁿu(n - 2). The system is