# GATE 2016 EE -SET 2 -Question 21

Solution: Key = 0.30 to 0.33

$$\frac{V_{0}(s)}{V_{in}(s)}=\frac{\left [ 1+\frac{1}{s} \right ]}{\left [ 10+\frac{1}{s} \right ]}=\left [ \frac{s+1}{10s+1} \right ]$$

Coefficient of s in the numerator = T = 1

Coefficient of s in the denominator = aT = 10

$$\Rightarrow aT=10\Rightarrow a=10$$

$$\omega =\frac{1}{T\sqrt{a}}=\frac{1}{\sqrt{10}}=0.316 rad/s$$