Explore topic-wise MCQs in Signals & Systems.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.

1.

The system y[n] = ( _{k=- }^n x[k] ) is an example of ____________

A. Invertible system
B. Memoryless system
C. Non-invertible system
D. Averaging system
Answer» B. Memoryless system
Discussion
2.

If the response of LTI continuous time system to unit step input is ( ( frac{1}{2} frac{1}{2} e^{-2t} )), the impulse response of the system is _______________

A. ( ( frac{1}{2} frac{1}{2} e^{-2t} ))
B. e<sup>-2t</sup>
C. (1-e<sup>-2t</sup>)
D. Constant
Answer» C. (1-e<sup>-2t</sup>)
Discussion
3.

The system defined by h[n] = 2n u[n-2] is _______________

A. Stable and causal
B. Causal but not stable
C. Stable but not causal
D. Unstable and non-causal
Answer» C. Stable but not causal
Discussion
4.

The system y(t) = ( frac{d x(t)}{dt} ) is ______________

A. Invertible with input x(t) and output y(t)
B. Invertible with input x(t)
C. Invertible with output y(t)
D. Not invertible
Answer» E.
Discussion
5.

The system y(t) = ( frac{d x^2 (t)}{dt} ) is ___________

A. Stable with input x(t)
B. Stable with output y(t)
C. Stable with both input x(t) as well as output y(t)
D. Not stable
Answer» B. Stable with output y(t)
Discussion
6.

The system y(t) = x(2t) is ______________

A. Invertible with input x(t) and output y(t)
B. Invertible with input x(t)
C. Invertible with output y(t)
D. Not invertible
Answer» B. Invertible with input x(t)
Discussion
7.

The system y(t) = 15ex(t) is ___________

A. Stable with input x(t)
B. Stable with output y(t)
C. Stable with both input x(t) as well as output y(t)
D. Not stable
Answer» D. Not stable
Discussion
8.

The system y(t) = x2(t) is ______________

A. Invertible with input x(t) and output y(t)
B. Invertible with input x(t)
C. Invertible with output y(t)
D. Not invertible
Answer» E.
Discussion
9.

Let a signal a1 sin ( 1 t + 1) be applied to an astable LTI system. The corresponding output is a2 F sin ( 2 t + 2). Then which of the following is correct?

A. F is not necessarily a sine or cosine function but must be periodic with <sub>1</sub>= <sub>2</sub>
B. F must be a sine or cosine function with a<sub>1</sub> = a<sub>2</sub>
C. F must be a sine function with <sub>1</sub>= <sub>2</sub> and <sub>1</sub> = <sub>2</sub>
D. F must be a sine or cosine function with <sub>1</sub>= <sub>2</sub>
Answer» C. F must be a sine function with <sub>1</sub>= <sub>2</sub> and <sub>1</sub> = <sub>2</sub>
Discussion
10.

Sinusoidal signal x (t) = 4cos (200t + ( frac{ }{6} )) is passed through a square law device defined by the input output relation y (t) = x2(t). The DC component in the signal is _____________

A. 3.46
B. 4
C. 2.83
D. 8
Answer» E.
Discussion
11.

The system y(t) = x3(t) is ___________

A. Stable with input x(t)
B. Stable with output y(t)
C. Stable with both input x(t) as well as output y(t)
D. Not stable
Answer» D. Not stable
Discussion
12.

For a series RLC circuit excited by an impulse voltage of magnitude 1 and having R = 4 , L = 1H, C = ( frac{1}{3} ) F, the value of the current I(t) is ___________

A. ( frac{3}{2} e^{3t} frac{1}{2} e^{-t} )
B. ( frac{3}{2} e^{3t} frac{1}{2} e^t )
C. ( frac{3}{2} e^{-3t} frac{1}{2} e^{-t} )
D. ( frac{3}{2} e^{-3t} frac{1}{2} e^t )
Answer» D. ( frac{3}{2} e^{-3t} frac{1}{2} e^t )
Discussion
13.

Given a Fourier transform pair x(t) X(j ) = ( frac{2 sin }{ } ), where, x(t) = 1 for |t|<1 and 0, otherwise. Then the Fourier transform of y(t) having the shape of a triangular waveform from t=-2 to t=2 and maximum peak value=2 is ___________

A. ( frac{4 sin^2 }{ ^2} )
B. ( frac{2 sin^2 }{ ^2} )
C. ( frac{8 sin^2 }{ ^2} )
D. ( frac{8 sin^2 }{ ^2} )
Answer» B. ( frac{2 sin^2 }{ ^2} )
Discussion