GATE IN 2015 Question Paper (01-Feb-2015) (Shift 2)

A mass-spring damper system with force as input and displacement of the mass as output has a transfer function

$G\left(s\right)=\frac{1}{\left(s^2+24s+900\right)}$

A force input F(t) = 10 sin (70 t) newtons is applied at time t = 0 s. A beam from an optical stroboscope is focused on the mass. In steady state, the strobe frequency in hertz at which the mass appears to be stationary is

A system with transfer function $G\left(s\right)=\frac{1}{s^2+1}$ has zero initial conditions. The percentage overshoot in its step response is _________ %.

The voltage (E₀) developed across a glass electrode for pH measurement is related to the temperature (T) by the relation

A light detector circuit using an ideal photo-diode is shown in the figure. The sensitivity of the photo-diode is 0.5 μA/μW. With Vᵣ = 6 V, the output voltage Vₒ = −1.0 V for 10 μW of incident light. If Vᵣ is changed to 3 V, keeping all other parameters the same, the value of Vₒ in volts is __________V.

An apparatus to capture ECG signals has a filter followed by a data acquisition system. The filter best suited for this application is