GATE EC 2012 Question Paper (12-Feb-2012) (Shift 2)

A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd is ______.

In the CMOS circuit shown, electron and hole mobilities are equal, and M1 and M2 are equally sized. The device M1 is in the linear region if

A two message communication system together with transition probabilities and priori probabilities is shown in the figure below. The optimum receiver used in such a system will contribute to a probability of error p(ε) equal to

The magnetic field along the propagation direction inside a rectangular waveguide with the cross-section shown in the figure is

${\mathrm{H}}_{\mathrm{z}}=3\cos \left(2.094\times {10}^2\mathrm{x}\right)\cos \left(2.618\times {10}^2\mathrm{y}\right)\cos \left(6.283\times {10}^{10}\mathrm{t}-\beta \mathrm{z}\right)$



The phase velocity of the wave inside waveguide satisfies:

The circuit shown is a