# If S(f) is the power spectral density of a real, wide-sense stationary random process, then which of the following is ALWAYS true

1.  S(0) ≥ S(f)

2.  S(f) ≥ 0

3.  S(-f) = -S(f)

4.

4

S(f) ≥ 0

Explanation :
No Explanation available for this question

# A plane wave of wavelength λ is travelling in a direction making an angle 30° with positive x-axis and 90° with positive y-axis. The    field of  the plane wave can be  represented as (E0 is a constant)

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# If C is a closed curve enclosing a surface S, then the magnetic field intensity   the current density   and the electric flux density   are related by

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# Consider the function f(x) = x2 - x - 2. The maximum value of f(x) in the closed interval [-4,4] is

1.  18

2.  10

3.  -2.25

4.  indeterminate

4

18

Explanation :
No Explanation available for this question

# An examination consists of  two papers, Paper 1 and Paper 2. The probability of  failing  in Paper 1  is 0.3 and  that  in Paper 2  is 0.2. Given  that a student has  failed  in Paper 2,  the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers is

1.  0.5

2.  0.18

3.  0.12

4.  0.06

4

0.12

Explanation :
No Explanation available for this question

# The solution of the differential equation k2(d2y/dx2) = y - y2 under the boundary conditions (i) y = yl  at x = 0 and (ii) y = y2 at x = ∞, where k, y1 and y2 are constants, is

1.  y = (y1 - y2) exp(-x/k2) + y2

2.  y = (y2 - y1) exp(-x/k) + y1

3.  y = (y1 - y2) sin h(x/k) + y1

4.  y = (y1 - y2) exp(-x/k) + y2

4

y = (y1 - y2) exp(-x/k) + y2

Explanation :
No Explanation available for this question

# The equation x3 - x2 + 4x - 4 = 0 is to be solved using the Newton-Raphson method. If x =2  is  taken as  the  initial approximation of  the  solution,  then  the next approximation using this method will be

1.  2/3

2.   4/3

3.  1

4.   3/2

4

4/3

Explanation :
No Explanation available for this question

# Three functions f1(t), f2(t) and f3(t), which are zero outside the interval [0, T] are shown in the figure. Which of the following statements is correct

1.  f1(t) and f2(t) are orthogonal

2.  f1(t) and f3(t) are orthogonal

3.  f2(t) and f3(t) are orthogonal

4.  f1(t) and f2(t) are orthonormal

4

f1(t) and f3(t) are orthogonal

Explanation :
No Explanation available for this question

# If  the semi-circular contour D of  radius 2  is as shown  in  the  figure,  then  the value of  the Integral

1.  j π

2.  -j π

3.  - π

4.  π

4

j π

Explanation :
No Explanation available for this question

1.  4

2.  1

3.  1/2

4.  1/4

4