GATE EE 2016 Question Paper (06-Feb-2016) (Shift 2)

The transfer function of a system is $\frac{Y\left(s\right)}{R\left(s\right)}=\frac{s}{s+2}$. The steady state output $y\left(t\right)$ is $Acos(2t+\varphi )$ for the input $cos(2t)$. The values of $Aand\varphi$, respectively are

The phase cross-over frequency of the transfer function $G\left(s\right)=\frac{100}{{\left(s+1\right)}^3}$ in $rad/s$ is

Consider a continuous-time system with input x(t) and output y(t) given by

y(t) = x(t)cos(t)

This system is

The value of $\underset{-\infty }{\overset{+\infty }{\int }}{e}^{-t}\delta \left(2t-2\right)dt$, where $\delta \left(t\right)$ is the Dirac delta function, is

A temperature in the range of -40° C to 55° C is to be measured with a resolution of 0.1° C. The minimum number of ADC bits required to get a matching dynamic range of the temperature sensor is