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46.
The transfer function of a system is
. The characteristic equation of the system is :

Answer: Option
Explanation:
Characteristic equation = 1 + GH = 0
(s + 1)2(s + 2) + (2s2 + 6s + s) = 0
Apply R-H.
47.
Given f = GEF + KHIJ + LMON + TUVWXYZ and
Then f is equivalent to
- E + F + G = LMN
- V + W = U . Z . Y . X . T
NAND B
- (UVW ⊕ WVU) = KJ(XY ⊕ XY)
Then f is equivalent to
Answer: Option
Explanation:
(UVW ⊕ WVU) = 1 = KJ(XY ⊕ XY)
∴ KJ = 1
NAND B
∴ HI = 1
Since f = GEF + 1 + LMON + TUVWXYZ = 1.
48.
If V = 4 in the figure, the value of IS is given by,


Answer: Option
Explanation:
Using Nodal analysis
At node V1
At node V2
∴ 2V2 - V1 = 0
∴ V1 = 2V2 Put V2 = V = 4
V1 = 8 V
Put in equation (i), IS = x 8 - 4 = 10 - 4 = 6 A.
49.
Choose correct option for a stable system :
- Roots of the characteristic equation of the system are real and negative
- Area within the impulse response is finite
Answer: Option
Explanation:
From Statement 1: Roots of the characteristics equation of the system are real and negative i.e. the poles are on the left half plane.
Hence the system is stable.
From Statement 2: Area within the impulse response is finite i.e. it is finite duration signal. It produces a bounded output. Hence system is stable.
So both the statements are true.
50.
The number of distinct Boolean expressions of 3 variables is
Answer: Option
Explanation:
22n = 223 ⇒ 28 = 256.
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