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.

Given a real valued function y (t) with period T. Its trigonometric Fourier series expansion contains no term of frequency ω = 2π \(\frac{(2k)}{T}\); where, k = 1, 2….. Also no terms are present. Then, y(t) satisfies the equation ____________

A. y (t) = y (t+T) = -y (t+\(\frac{T}{2}\))
B. y (t) = y (t+T) = y (t+\(\frac{T}{2}\))
C. y (t) = y (t-T) = -y (t-\(\frac{T}{2}\))
D. y (t) = y (t-T) = y (t-\(\frac{T}{2}\))
Answer» E.
Discussion
2.

In Maxwell’s capacitance bridge for calculating unknown inductance, the various values at balance are, R1 = 300 Ω, R2 = 700 Ω, R3 = 1500 Ω, C4 = 0.8 μF. Calculate R1, L1 and Q factor, if the frequency is 1100 Hz.

A. 240 Ω, 0.12 H, 3.14
B. 140 Ω, 0.168 H, 8.29
C. 140 Ω, 0.12 H, 5.92
D. 240 Ω, 0.36 H, 8.29
Answer» C. 140 Ω, 0.12 H, 5.92
Discussion
3.

The type of systems which are characterized by input and the output capable of taking any value in a particular set of values are called as __________

A. Analog
B. Discrete
C. Digital
D. Continuous
Answer» E.
Discussion
4.

The running integrator, given by y(t) = \(∫_{-∞}^∞ x(t) \,dt\) has ____________

A. No finite singularities in it’s double sided Laplace transform Y(s)
B. Produces an abounded output for every causal bounded input
C. Produces a bounded output for every anti-causal bounded input
D. Has no finite zeroes in it’s double sided Laplace transform Y (s)
Answer» C. Produces a bounded output for every anti-causal bounded input
Discussion
5.

The continuous time system described by the equation y(t) = x(t2) comes under the category of ____________

A. Causal, linear and time varying
B. Causal, non-linear and time varying
C. Non-causal, non-linear and time invariant
D. Non-causal, linear and time variant
Answer» E.
Discussion
6.

The Fourier series for the function f (x) = sin2x is ______________

A. 0.5 + 0.5 sin 2x
B. 0.5 – 0.5 sin 2x
C. 0.5 + 0.5 cos 2x
D. 0.5 – 0.5 cos 2x
Answer» E.
Discussion
7.

Frequency and time period are ____________

A. Proportional to each other
B. Inverse of each other
C. Same
D. equal
Answer» C. Same
Discussion
8.

X (ejω) = \(\frac{(b-a) e^{jω}}{e^{-j2ω}-(a+b) e^{jω} + ab)}\), |b|<1<|a|The value of x[n] is __________

A. e^{jω}}{e^{-j2ω}-(a+b) e^{jω} + ab)}\), |b|<1<|a|The value of x[n] is __________a) bn u [n] + an u [n-1]
B. e^{jω} + ab)}\), |b|<1<|a|The value of x[n] is __________a) bn u [n] + an u [n-1] b) bn u [n] – an u [-n-1]
C. bn u [n] + an u [-n-1]
D. bn u [n] – an u [n+1]
Answer» D. bn u [n] – an u [n+1]
Discussion
9.

The rms value of a rectangular wave of period T, having value +V for a duration, T1(

A. V
B. \(\sqrt{V}\)
C. \(\frac{\sqrt{V}}{2}\)
D. 0
Answer» B. \(\sqrt{V}\)
Discussion
10.

A pulse of unit amplitude and width a, is applied to a series RL circuit having R = 1 Ω, L = 1H. The current I(t) at t = ∞ is __________

A. 0
B. Infinite
C. 2 A
D. 1 A
Answer» B. Infinite
Discussion
11.

The system characterized by the differential equation \(\frac{d^2 y(t)}{t^2} – \frac{dy}{dt} – 2y(t) = x(t)\) is _____________

A. Linear and stable
B. Linear and unstable
C. Nonlinear and unstable
D. Nonlinear and stable
Answer» C. Nonlinear and unstable
Discussion
12.

A signal x(t) has the Fourier transform X(jω) having the following facts:F-1{(1+jω) X(jω)} = Ae-2t u(t) and \(\int_{-∞}^∞ |X(jω)|^2 \,dω = 2π\) The signal x (t) is ___________

A. \(\sqrt{3}\) (e-t – e-2t)u(t)
B. \(\sqrt{12}\) (e-t – e-2t)u(t)
C. \(\sqrt{3}\) (e-2t – e-t)u(t)
D. \(\sqrt{12}\) (e-2t – e-t)u(t)
Answer» C. \(\sqrt{3}\) (e-2t – e-t)u(t)
Discussion
13.

The CTFT of a continuous time signal x(t) = e-A|t|, A>0 is _________

A. \(\frac{2A}{ω^2} \)
B. \(\frac{A}{A^2+ω^2} \)
C. \(\frac{2A}{A^2+ω^2} \)
D. \(\frac{A}{ω^2} \)
Answer» D. \(\frac{A}{ω^2} \)
Discussion