Exercise: Exam Question Papers
Questions for: Exam Question Papers
The following system which is static is __________ .
A: 
B: 
C:
y(t) = x(n - 1)
D:
y(t) = ex(t)
Answer: D
The system represented by expression ex(t) is static (memoryless) âĩ output at time = 't' dependent only.
In case of derivative, if we take the laplace transform we have to consider initial conditions.
Hence memory is required.
For the gear train,
If θ1 = 2 rad. clockwise and the torque of gear 1 is 10 lb-ft, what is the displacement and torque of gear 7.
If θ1 = 2 rad. clockwise and the torque of gear 1 is 10 lb-ft, what is the displacement and torque of gear 7.
A: 
rad CW, 7.5 lb-ft
rad CW, 7.5 lb-ftB:
4 rad CW, 5 lb-ft
C: 
rad CW, 7.5 lb-ft
rad CW, 7.5 lb-ftD: 
rad CW, 7.5 lb-ft
rad CW, 7.5 lb-ft
Answer: B
Number of teeths on any gear is proportional to its radius,
i.e. 
and also displacement on all gear must be same
=> r1θ1 = r7θ7
=> 
=> 
â´ 
â´ 
rad CW
Now, work done by one gear is equal to other,
ⴠT1θ1 = T7θ7
=> 
.
The value of the integral of the function g(x, y) = 4x3 + 10y4 along the straight line segment from the point (0, 0) to the point (1, 2) in the x-y plane is
Answer: A
(4x3 + 10y4)
y = 2x
â
[4x3 + 10(2x)4]dx = 33
All the four of the 2 x 2 matrix p = 
are non zero, and one of its eigen values is zero. Which of the following statements is true?
are non zero, and one of its eigen values is zero. Which of the following statements is true?
Answer: C
Use [ÎģI - P] = 0
â(Îģ - P11)(Îģ - P22) - P21P12 = 0
Putting Îģ = 0, we get P11P22 - P21P12 = 0.
Consider the circuit shown below of 2 : 1 MUX is given by the function g = ac + bc
Then f is :
Then f is :
Answer: B
Since g = ac + bc
i.e. when c = 0, g = b and c = 1, g = a
Now we evaluate
f = (E)(X) + (0)(X) = EX
f = (X)(Y) + (EX)(Y) = XY + EXY.
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