Step Response of First Order System

Q. Transfer function of a first order system is given by$G\left(s\right)=\frac{1}{Ts+1}$

Impulse response of the system is

1. 
2. 
3. 
4. 

Q. The unit step response of a system with the transfer function $G\left(s\right)=\frac{1-2s}{1+s}$ is given by which one of the following waveforms?

1. 
2. 
3. 
4. 

Q. A casual system having the transfer function $H\left(s\right)=\frac{1}{s+2}$ is excited with $10u\left(t\right)$. The time at which the output reaches 99% of its steady state value is

1. $2.7sec$
2. $2.5sec$
3. $2.3sec$
4. $2.1sec$

Q. The transfer function of s system is $G\left(s\right)=\frac{100}{(s+1)(s+100)}.$ For a unit -step input to the system the approximate settling time for $2\%$ criterion is

1. $100sec$
2. $4sec$
3. $1sec$
4. $0.01sec$

Q. A system with transfer function $\frac{1}{\tau s+1}$, subjected to a step input takes 10 seconds to reach 50% of the step height. The value of $\tau$ is

1. 6.9 s
2. 10 s
3. 14.4 s
4. 20 s