Signals and Systems - Online Test
Q1. A dual trace oscilloscope is set to operate in the Alternate mode. The control input of the multiplexer used in the y-circuit is fed with a signal having a frequency equal to
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. The fourier series expansion 
of the periodic
signal shown below will contain the following nonzero terms
of the periodic
signal shown below will contain the following nonzero terms
Answer : Option D
Explaination / Solution:
⇒ it satisfies the half wave symmetry, so that it contains only odd harmonics.
⇒ It satisfies the even symmetry. So bn = 0
Q3. 
The steady state error of a unity feedback linear system for a unit step input is 0.1. The steady state error of the same system, for a pulse input r(t) having a magnitude of 10 and a duration of one second, as shown in the figure is
Answer : Option A
Explaination / Solution:
Q4. Given two continuous time signals 
which exist for t > 0,
the convolution z(t) = x(t)* y(t) is
which exist for t > 0,
the convolution z(t) = x(t)* y(t) is
Answer : Option A
Explaination / Solution:
Q5. Let the Laplace transform of a function F(t) which exists for t > 0 be F1(s) and
the Laplace transform of its delayed version 
be the
complex conjugate of F1(s) with the Laplace variable set as s=σ + jw. If G(s) = 
, then the inverse Laplace transform of G(s) is
be the
complex conjugate of F1(s) with the Laplace variable set as s=σ + jw. If G(s) = , then the inverse Laplace transform of G(s) is
Answer : Option B
Explaination / Solution:
Q6. A zero mean random signal is uniformly distributed between limits –a and +a and its mean square value is equal to its variance. Then the r.m.s value of the signal is
Answer : Option A
Explaination / Solution:
Q7. The response h(t) of a linear time invariant system to an impulse δ(t) , under
initially relaxed condition is 
The response of this system for a
unit step input u(t) is
The response of this system for a
unit step input u(t) is
Answer : Option C
Explaination / Solution:
Q8. Given that f(y) = | y | / y, and q is any non-zero real number, the value of | f(q) - f(-q) | is
Answer : Option D
Explaination / Solution:
Q9. 
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil (PMMC) meter connected across the same load reads
Answer : Option A
Explaination / Solution:
Q10. The state variable description of an LTI system is given by
where y is the output and u is the input. The system is controllable for
Answer : Option D
Explaination / Solution:
