GATE IN 2014 Question Paper (02-Feb-2014) (Shift 2)

A loop transfer function is given by

$G\left(s\right)H\left(s\right)=\frac{K\left(s+2\right)}{s^2\left(s+10\right)}$

The point of intersection of the asymptotes of G(s) H(s) on the real axis in the s-plane is at _____.

The resistance and inductance of an inductive coil are measured using an AC bridge as shown in the figure. The bridge is to be balanced by varying the impedance Z₂.



For obtaining balance, Z₂ should consist of element(s):

A plant has an open-loop transfer function

$G_P\left(s\right)=\frac{20}{\left(s+0.1\right)\left(s+2\right)\left(s+100\right)}$

The approximate model obtained by retaining only one of the above poles, which is closest to the frequency response of the original transfer function at low frequency is

In order to remove respiration related motion artifacts from an ECG signal, the following filter should be used:

In a time-of-flight mass spectrometer if 𝑞 is the charge and 𝑚 the mass of the ionized species, then the time of flight is proportional to