GATE 2022 Rapid Revision Weekly Quiz 6

Consider the circuit shown in figure below, the value of is

The resolution of a 5-bit ADC is 0.25 V. For an analog input of 5.1 V, the digital output of the ADC and the maximum conversion time for 2 MHz frequency are?

The describing equation of a system is given by  where f(t) is external input acting on the system & X is the displacement of mass. The steady state displacement, if input force 3u(t) is applied?

A continuous time periodic signal is given as x(t) = Sgn(sint). Trigonometric Fourier series representation of x(t) contains

What will the value of following Integral:

For LTI system shown in figure with input , , if output of the system is given as , then value of A is

The value of for is ________. (where x(t) and X(ω) are Fourier transform pairs).

A binary communication system transmits the signal s1, s2 .The receiver test statistic z(T) =ai+N ,where a1=+1 and a2=-1 and N is uniformly distributed , yeilding the condition density function

the probability of error for equally likely signals is ____

For an n-channel E-MOSFET used in the circuit shown below, the threshold voltage VT = 1 V, the channel length modulation parameter and. Then the output voltage V_o is.

Consider a silicon sample at T=300K, with a uniform donor density illuminated uniformly such that the optical generation rate isthroughout the sample. The incident radiation is turned off at t=0. Assume low-level injection to be valid and ignore surface effects. The carrier lifetimes are


The hole concentration at t = 0 and the hole concentration at t = 0.3ms, respectively, are

Consider a uniform plane wave with amplitude (E₀) of 10 V/m and 1.1 GHz frequency travelling in air, and incident normally on a dielectric medium with complex relative permittivity and permeability as shown in the figure.

The magnitude of the transmitted electric field component (in V/m) after it has travelled a distance of 10 cm inside the dielectric region is ________.

Initially Register contain byte B7, then after 4 CLR pulse content of Register will …. ?