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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
$$\frac{\pi }{3}$$
Correct Answer:
$$\frac{{5\pi }}{{12}}$$
Complete the equation. 2Res+OH– + 2– → __________ + 2OH– 2- b) (Res+)23- c) (Res+)22- d) (Res+)32-
A
2– → __________ + 2OH– ] (Res+)22-
B
Ni(CN)4
C
Ni(CN)4
D
Ni(CN)4
Suppose that the gain, time constant and dead time of a process with the following transfer function:G
c
(s) = 10 exp( - 0.1s)/(0.5s + 1) are known with a possible error of ± 20% of their values. The largest permissible gain K
c
of a proportional controller needs to be calculated below taking the values of process gain, time constant and dead time as
A
8, 0.6, 0.08
B
12, 0.6, 0.12
C
8, 0.6, 0.12
D
12, 0.4, 0.08
Select the order in which the frequency should be maintained to enhance the stability of differentiator? Where fa -> Frequency at which gain =0 ; fb -> Gain limit frequency ; fc -> Unity gain bandwidth.
A
fa b c
B
fa > fb > fc
C
fb c > fa
D
fb c a
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°
John, Jack, Joseph and Jordan participated in a running race. Only the winner finished the race in 10 minutes. Which two pieces of information can tell you who the winner was? (i) John finished the race in 16 minutes . (ii) Joseph finished the race earlier than Jack by 2 minutes. (iii) Jack finished the race later than Jordan by 4 minutes. (iv) Jordan finished the race earlier than John by 6 minutes. (v) John finished the race later than Joseph by minutes.
A
I and II
B
I and IV
C
II and III
D
II and V
The propositions are
1. Delay and dispatch of FIR (First Information Report) is not the circumstance which can throw out prosecution case in its entirety.
2. Delay and despatch of FIR (First Information Report) is a circumstance which can throw out the prosecution case in its entirety.
3. The extraordinary delay in sending the FIR (First Information Report) is a circumstance which provides a legitimate basis for suspecting that the FIR (First Information Report) was recorded much later than the stated date and hour, affording sufficient time to the prosecution to introduce improvement,
Which of the following is correct in respect of the aforesaid preposition?
A
1 is true, 2 and 3 are false
B
1 and 3 are true but 2 is false
C
2 and 3 are true but 1 is false
D
3 is true, 1 and 2 are false
The propositions are:
1. Delay in despatch of the First information Report (FIR) is not a circumstance which can throw out the prosecution case in its entirety.
2. Delay in despatch of the First information Report (FIR) is a circumstance which can throw out the prosecution case in its entirety.
3. The extra-ordinary delay in sending the First information Report (FIR) is a circumstance which provides a legitimate basis for suspecting that the First information Report (FIR) was recorded much later than the stated date and hour, affording sufficient time to the prosecution to introduce improvements.
Which of the following is correct in respect of the aforesaid proposition
A
1 is true, 2 and 3 are false
B
1 and 3 are true, 2 is false
C
2 and 3 are true, 1 is false
D
3 is true, 1 and 2 are false
An inverting amplifier with nominal gain of −20 V/V employs an op amp having a dc gain of 104 and a unity-gain frequency of 106 Hz. What is the 3-dB frequency f3dB of the closed-loop amplifier?
A
2π 23.8 kHz
B
2π 47.6 kHz
C
2π 71.4 kHz
D
2π 95.2 kHz
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
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