Electrical Engineering - Online Test
Q1. In binary frequency shift keying (FSK), the given signal waveform are
u0 (t) = 5cos (20000 πt); 0 ≤ t ≤ T, and
u1 (t) = 5cos (22000 πt); 0 ≤ t ≤ T,
Where T is the bit-duration interval and t is in seconds. Both u0 (t) and u1 (t) are zero outside the interval 0 ≤ t ≤ T. With a matched filter (correlator) based receiver, the smallest positive value of T (in milliseconds) required to have u0 (t) and u1 (t) uncorrelated is
Answer : Option B
Explaination / Solution:
Q2. The frequency response of a linear, time-invariant system is given by 
The step response of the system is
The step response of the system is
Answer : Option B
Explaination / Solution:
Q3. A control system with PD controller is shown in the figure. If the velocity error
constant KV = 000 and the damping ratio ζ = 0.5, then the value of KP and KD are
Answer : Option B
Explaination / Solution:
Q4. 
For the circuit shown in the figure, D has a transition from 0 to 1 after CLK changes from 1 to 0. Assume gate delays to be negligible. Which of the following statements is true
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. In a forward biased pn junction diode, the sequence of events that best describes the mechanism of current flow is
Answer : Option A
Explaination / Solution:
The potential barrier of the pn junction is lowered when a forward bias voltage is applied, allowing electrons and holes to flow across the space charge region (Injection) when holes flow from the p region across the space charge region into the n region, they become excess minority carrier holes and are subject to diffuse, drift and recombination processes.
Hence correct option is (A)
Q6. A box contains 4 white balls and 3 red balls. In succession, two balls are randomly selected and removed from the box. Given that the first removed ball is white, the probability that the second removed ball is red is
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. The equivalent capacitance of the input loop of the circuit shown is
Answer : Option A
Explaination / Solution:
No Explaination.
Q8. Let X(t) be a wide sense stationary random process with the power spectral density SX(f) as shown in Figure (a), where f is in Hertz (Hz). The random process X(t) is input to an ideal low pass filter with frequency response
As shown in Figure (b). The output of the lowpass filter is Y(t ).
Let E be the expectation operator and consider the following statements.
I. E( X(t)) = E(Y(t))
II. E( X2(t)) = E(Y2(t))
III. E(Y2(t)) = 2
Select the correct option:
Answer : Option A
Explaination / Solution:
Q9. The z −transform X(z) of a sequence x n is given by X 
It is given
that the region of convergence of X(z) includes the unit circle. The value of x is
It is given
that the region of convergence of X(z) includes the unit circle. The value of x is
Answer : Option B
Explaination / Solution:
Q10. The transfer function of a plant is 
The second-order approximation of T s using dominant pole concept is
The second-order approximation of T s using dominant pole concept is
Answer : Option D
Explaination / Solution:
