1. Which of the following statements
are true?
X) Voltage across capacitor can change
instantaneously for an impulse input.
Y) Current through an inductor cannot
change instantaneously for any type of input.
(A) Both X and Y are correct
(B) Only X is correct
(C) Only Y is correct
(D) Both X and Y are incorrect
Answer : [B] Only X is correct
2) If f(t) =u(t)/(t-1) then Laplace
transform of f(t) .
a) e-s/s
b) 1/s
c) e-s/(s-1)
d) None of the above
Answer : [D] None of the above
3) If f(t)=log t, then Laplace
transform of f(t).
a) 1/s
b) e-s
c) 0
d) None
Answer : [D] None
4) If Laplace transform of cos(2t) is
S/(S2+4) and of sin(2t) is 2/(S2+4) then Laplace transform of tan(2t)
is
a) 2/S
b) 0
c) 1
d) None of the above
Answer : [D] None of the above
5) If F s = cot −1 (s + 1). What is
the Laplace inverse of F(s)?
(A) Can’t be determined
(B) e −t . sint (C) sint/t
(D) (sint + e −t )/t
(E) (sint − e −t )/t
(F)e −t sint/t
Answer : [F] e −t sint/t
6) If F s = N(s)/D(s). ‘m’ refers
to the degree of N(s) and ‘n’ refers to the degree of D(s). If
F(s) is a proper transfer function if and only if
(A) m > n
(B) n > m
(C) n ≥ m
(D) m ≥ n
(E) n = m
(F) None
Answer : [C] n ≥ m
7) If G s = 1/( s + 1 . s + 2 ) , H s =
1. Then (1 + G s . H(s)) will have
(A) 2 zeros, 2 poles
(B) 1 zero, 1 pole
(C) 2 zeros, 1 pole
(D) 1 zero, 2 poles
(E) 4 poles, 0 zeros
(F) None
Answer : [A] 2 zeros, 2 poles
(6) If F s = 1, then number of poles
and zeros of F(s) are
(A) ∞, ∞
(B) ∞, 0
(C) 0, ∞
(D) 1,1
(E) 0,0
(F) None
Answer : [E] 0,0
7) Number of Poles and Zeros of
V1(s)/V3(s)
(A) 2,1
(B) 1,2
(C) 0,2
(D) 2,0
(E) 1,1
(F) None
Answer : [B] 1,2
8) Which of the following can be done
to a planar graph?
a) Stretched
b) Twisted
c) Folded
d) All of these
Answer : [D] All of these
9) Which of the following will define a
graph when it is marked to show directions from one node to another
node?
a) Un-connected
b) Un-oriented
c) Oriented
d) None of these
Answer : [C] Oriented
10) Which of the following does not
describe a path?
a) It is a sub-graph of connected
elements
b) It contains no one more than two
elements connected to any one node
c) It contains more than two elements
connected to any one node
d) All of these
Answer : [C] It contains more than two
elements connected to any one node
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