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

The circuit shown below is driven by a sinusoidal input, $V_i=V_p\cos \left(\frac{t}{RC}\right).$ The steady state output $V_0$ is,

Consider a closed surface S surrounding volume V. If $\vec{\mathrm{r}}$ is the position vector of a point inside S, with the unit normal $\vec{\mathrm{n}}$ on S, the value of the integral $\int \underset{\mathrm{s}}{\int }5\vec{\mathrm{r}}\cdot \vec{\mathrm{n}}\mathrm{ds}$ is

The modes in a rectangular waveguide are denoted by TE${}_{mn}$ /TM${}_{mn}$ where m and n are the eigen numbers along the larger and smaller dimensions of the waveguide respectively. Which one of the following statements is TRUE?

The solution of the differential equation (dy/dx) = ky, y(0) = c is

The list 1 lists the attribution and List II lists the modulation system. Match the attribute to the modulation system that best matches it