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A first order system with a time constant of 1 min is subjected to frequency response analysis. At an input frequency of 1 radian/min, the phase shift is
A
45°
B
-90°
C
-180°
D
-45°
Correct Answer:
-45°
The time constant of a unity gain, first order plus time delay process is 5 min. If the phase lag at a frequency of 0.2 rad/min is 60°, then the dead time (in minutes) is
A
$$\frac{{5\pi }}{{12}}$$
B
$$\frac{\pi }{6}$$
C
$$\frac{\pi }{{12}}$$
D
$$\frac{\pi }{3}$$
Workmen arrive at a mine workshop to receive tools for maintenance. The inter-arrival time of workmen at the service counter is exponentially distributed with an average time of 10 min. The service time at the counter is also distributed exponentially with a mean time of 6 min. The average time spent by a workman waiting for his turn to be served in min is
A
9
B
12
C
15
D
18
Phase shift provided by one phase shift network in RC phase shift oscillator in 3 stage is ___________
A
180 degrees
B
60 degrees
C
120 degrees
D
90 degrees
Total phase shift provided by all phase shift networks in RC phase shift oscillator is ___________
A
180 degrees
B
60 degrees
C
120 degrees
D
360 degrees
Phase shift provided by one phase shift network in RC phase shift network in 4-stage will be ___________
A
180 degrees
B
45 degrees
C
60 degrees
D
90 degrees
Two joggers left Delhi for Noida simultaneously. The first jogger stopped 42 min later when he was 1 km short of Noida and the other one stopped 52 min later when he was 2 km short of Noida. If the first jogger jogged as many kilometers as the second, and the second as kilometers as first, the first one would need 17 min less than the second. Find the distance between Delhi and Noida?
A
5 km
B
15 km
C
25 km
D
35 km
E
24 km
A first order system with unity gain and time constant $$\tau $$ is subjected to a sinusoidal input of frequency $${\text{w}} = \frac{1}{\tau }.$$ The amplitude ratio for this system is
A
1
B
0.5
C
$$\frac{1}{{\sqrt 2 }}$$
D
0.25
Consider the following statements: 1. The delay time is the time required to reach 50% of the final value in the first time. 2. The rise time is the time required for the response to rise from 10% to 90% of its final value for underdamped systems. 3. The rise time is the time required for the response to rise from 0 to 100% for the underdamped systems. Which of these statements are correct?
A
1,2 and 3 only
B
1 and 2 only
C
1 and 3 only
D
2 and 3 only negative real axis
Two filling taps P and Q together can fill a tank with rate of 40 lit/min and 60 lit/min respectively in 8 min. If a waste tap can empty the filled tank in 32 min, then what is the rate of waste tap ?
A
34 lit\/min
B
25 lit\/min
C
22 lit\/min
D
18 lit\/min
Consider a system whose input r and output y are related by the equation $$y\left( t \right) = \int\limits_{ - \infty }^\infty {x\left( {t - \tau } \right)} h\left( {2\tau } \right)d\tau $$
Where h(t) is shown in the graph
Which of the following four properties are possessed by the system? BIBO: Bounded input gives a bounded output
Causal: The system is causal.
LP : The system is low pass.
LTI: The system is linear and time-invariant.
A
Causal, LP
B
BIBO, LTI
C
BIBO, Causal, LTI
D
LP, LTI