MCQOPTIONS

Explore topic-wise MCQs in Network Theory.

This section includes 16 Mcqs, each offering curated multiple-choice questions to sharpen your Network Theory knowledge and support exam preparation. Choose a topic below to get started.

1.	Find the Laplace transform of ramp function r (t) = t.a) 1/sb) 1/s2c) 1/s3d) 1/s4 9.Find the Laplace transform of the function f (t) = tsin2t.a) 4s/(s2+4)2b) -4s/(s2+4)2c) -4s/(s2-4)2d) 4s/(s2-4)2View Answer 10.If u (t) = 1 for t >= 0 and u (t) = 0 for t < 0, determine the Laplace transform of [u (t) – u (t – a)].
A.	1/sb) 1/s2c) 1/s3d) 1/s4 9.Find the Laplace transform of the function f (t) = tsin2t.a) 4s/(s2+4)2b) -4s/(s2+4)2c) -4s/(s2-4)2d) 4s/(s2-4)2View Answer 10.If u (t) = 1 for t >= 0 and u (t) = 0 for t < 0, determine the Laplace transform of [u (t) – u (t – a)].a) 1/s(1+e(-as))
B.	1/s2c) 1/s3d) 1/s4 9.Find the Laplace transform of the function f (t) = tsin2t.a) 4s/(s2+4)2b) -4s/(s2+4)2c) -4s/(s2-4)2d) 4s/(s2-4)2View Answer 10.If u (t) = 1 for t >= 0 and u (t) = 0 for t < 0, determine the Laplace transform of [u (t) – u (t – a)].a) 1/s(1+e(-as))b) 1/s(1-e(-as))
C.	1/s3d) 1/s4 9.Find the Laplace transform of the function f (t) = tsin2t.a) 4s/(s2+4)2b) -4s/(s2+4)2c) -4s/(s2-4)2d) 4s/(s2-4)2View Answer 10.If u (t) = 1 for t >= 0 and u (t) = 0 for t < 0, determine the Laplace transform of [u (t) – u (t – a)].a) 1/s(1+e(-as))b) 1/s(1-e(-as))c) 1/s(1+eas)
D.	1/s4 9.Find the Laplace transform of the function f (t) = tsin2t.a) 4s/(s2+4)2b) -4s/(s2+4)2c) -4s/(s2-4)2d) 4s/(s2-4)2View Answer 10.If u (t) = 1 for t >= 0 and u (t) = 0 for t < 0, determine the Laplace transform of [u (t) – u (t – a)].a) 1/s(1+e(-as))b) 1/s(1-e(-as))c) 1/s(1+eas)d) 1/s(1-eas)View Answer
Answer» C. 1/s3d) 1/s4 9.Find the Laplace transform of the function f (t) = tsin2t.a) 4s/(s2+4)2b) -4s/(s2+4)2c) -4s/(s2-4)2d) 4s/(s2-4)2View Answer 10.If u (t) = 1 for t >= 0 and u (t) = 0 for t < 0, determine the Laplace transform of [u (t) – u (t – a)].a) 1/s(1+e(-as))b) 1/s(1-e(-as))c) 1/s(1+eas)

2.	Find the Laplace transform of (t + 2)2 et.
A.	2/(s-1)3 – 2/(s-1)2 + 4/(s-1)
B.	2/(s-1)3 – 2/(s-1)2 – 4/(s-1)
C.	2/(s-1)3 + 2/(s-1)2 + 4/(s-1)
D.	2/(s-1)3 + 2/(s-1)2 – 4/(s-1)
Answer» D. 2/(s-1)3 + 2/(s-1)2 – 4/(s-1)

3.	Find the Laplace transform of eatsinbt.a) b/((s-a)2+b2)b) b/((s+a)2+b2)c) b/((s+a)2-b2)d) b/((s-
A.	b/((s-a)2+b2)
B.	b/((s+a)2+b2)
C.	b/((s+a)2-b2)
D.	b/((s-a)2-b2)
Answer» B. b/((s+a)2+b2)

4.	Find the Laplace transform of the function f (t) = 3t4 – 2t3 + 4e-3t – 2sin5t + 3cos2t.
A.	72/s5 – 12/s4 + 4/(s+3)+10/(s2+25)+3s/(s2+4)
B.	72/s5 – 12/s4 + 4/(s+3)-10/(s2+25)+3s/(s2+4)
C.	72/s5 – 12/s4 – 4/(s+3)+10/(s2+25)+3s/(s2+4)
D.	72/s5 – 12/s4 – 4/(s+3)-10/(s2+25)+3s/(s2+4)
Answer» C. 72/s5 – 12/s4 – 4/(s+3)+10/(s2+25)+3s/(s2+4)

5.	Find the Laplace transform of the function f (t) = 4t3 + t2 – 6t + 7.
A.	24/s4 + 2/s3 + 6/s2 + 7/s
B.	24/s4 – 2/s3 – 6/s2 + 7/s
C.	24/s4 + 2/s3 – 6/s2 + 7/s
D.	24/s4 – 2/s3 + 6/s2 + 7/s
Answer» D. 24/s4 – 2/s3 + 6/s2 + 7/s

6.	The Laplace transform of f1 (t) + f2 (t) is?
A.	F1(s) + F2(s)
B.	F1(s) – F2(s)
C.	F1(s) – 2F2(s)
D.	F1(s) + 2F2(s)
Answer» B. F1(s) – F2(s)

7.	FIND_THE_LAPLACE_TRANSFORM_OF_THE_FUNCTION_F_(T)_=_TSIN2T.?$
A.	4s/(s<sup>2</sup>+4)<sup>2</sup>
B.	-4s/(s<sup>2</sup>+4)<sup>2</sup>
C.	-4s/(s<sup>2</sup>-4)<sup>2</sup>
D.	4s/(s<sup>2</sup>-4)<sup>2</sup>
Answer» B. -4s/(s<sup>2</sup>+4)<sup>2</sup>

8.	If_u_(t)_=_1_for_t_>=_0_and_u_(t)_=_0_for_t_
A.	1/s(1+e<sup>(-as)</sup>)
B.	1/s(1-e<sup>(-as)</sup>)
C.	1/s(1+e<sup>as</sup>)
D.	1/s(1-e<sup>as</sup>)
Answer» C. 1/s(1+e<sup>as</sup>)

9.	Find the Laplace transform of ramp function r (t) = t?
A.	1/s
B.	1/s<sup>2</sup>
C.	1/s<sup>3</sup>
D.	1/s<sup>4</sup>
Answer» C. 1/s<sup>3</sup>

10.	Find the Laplace transform of (t + 2)2 et.
A.	2/(s-1)<sup>3</sup> -2/(s-1)<sup>2</sup> +4/(s-1)
B.	2/(s-1)<sup>3</sup> -2/(s-1)<sup>2</sup> -4/(s-1)
C.	2/(s-1)<sup>3</sup> +2/(s-1)<sup>2</sup> +4/(s-1)
D.	2/(s-1)<sup>3</sup> +2/(s-1)<sup>2</sup> -4/(s-1)
Answer» D. 2/(s-1)<sup>3</sup> +2/(s-1)<sup>2</sup> -4/(s-1)

11.	Find the Laplace transform of eatsinbt.
A.	b/((s-a)<sup>2</sup>+b<sup>2</sup> )
B.	b/((s+a)<sup>2</sup>+b<sup>2</sup> )
C.	b/((s+a)<sup>2</sup>-b<sup>2</sup> )
D.	b/((s-a)<sup>2</sup>-b<sup>2</sup> )
Answer» B. b/((s+a)<sup>2</sup>+b<sup>2</sup> )

12.	Find the Laplace transform of the function f (t) = 3t4 -2t3 +4e-3t -2sin5t +3cos2t.
A.	72/s<sup>5</sup> -12/s<sup>4</sup> +4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
B.	72/s<sup>5</sup> -12/s<sup>4</sup> +4/(s+3)-10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
C.	72/s<sup>5</sup> -12/s<sup>4</sup> -4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
D.	72/s<sup>5</sup> -12/s<sup>4</sup> -4/(s+3)-10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
Answer» C. 72/s<sup>5</sup> -12/s<sup>4</sup> -4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)

13.	Find the Laplace transform of the function f(t) = cos2t.
A.	(2s<sup>2</sup>+4)/2s(s<sup>2</sup>-4)
B.	(2s<sup>2</sup>-4)/2s(s<sup>2</sup>-4)
C.	(2s<sup>2</sup>-4)/2s(s<sup>2</sup>+4)
D.	(2s<sup>2</sup>+4)/2s(s<sup>2</sup>+4)
Answer» E.

14.	Find the Laplace transform of the function f (t) = 4t3 + t2 -6t +7.
A.	24/s<sup>4</sup> +2/s<sup>3</sup> +6/s<sup>2</sup> +7/s
B.	24/s<sup>4</sup> -2/s<sup>3</sup> -6/s<sup>2</sup> +7/s
C.	24/s<sup>4</sup> +2/s<sup>3</sup> -6/s<sup>2</sup> +7/s
D.	24/s<sup>4</sup> -2/s<sup>3</sup> +6/s<sup>2</sup> +7/s
Answer» D. 24/s<sup>4</sup> -2/s<sup>3</sup> +6/s<sup>2</sup> +7/s

15.	The Laplace transform of f1 (t) + f2 (t) is?
A.	F<sub>1</sub>(s) + F<sub>2</sub>(s)
B.	F<sub>1</sub>(s) ‚Äö√Ñ√∂‚àö√ë‚àö¬® F<sub>2</sub>(s)
C.	F<sub>1</sub>(s) ‚Äö√Ñ√∂‚àö√ë‚àö¬® 2F<sub>2</sub>(s)
D.	F<sub>1</sub>(s) + 2F<sub>2</sub>(s)
Answer» B. F<sub>1</sub>(s) ‚Äö√Ñ√∂‚àö√ë‚àö¬® F<sub>2</sub>(s)

16.	The Laplace transform of kf(t) is?
A.	F(s)
B.	kF(s)
C.	F(s)/k
D.	k<sup>2</sup> F(s)
Answer» C. F(s)/k