Electrical Engineering Gate 2016 Set-2 Questions with Answer

Ques 27 GATE 2016 SET-2

The flux linkage (λ) and current (i) relation for an electromagnetic system is λ = (√i)/g. When i = 2A and g (air-gap length) = 10 cm, the magnitude of mechanical force on the moving part, in N, is ________.

(2.5) is the correct answer.

Ques 28 GATE 2016 SET-2

A rotating conductor of 1 m length is placed in a radially outward (about the z-axis) magnetic flux density (B) of 1 Tesla as shown in figure below. Conductor is parallel to and at 1 m distance from the z-axis. The speed of the conductor in r.p.m. required to induce a voltage of 1 V across it, should be ________.

(9.55) is the correct answer.

Ques 29 GATE 2016 SET-2

Consider the function f(z) = z + z* where z is a complex variable and z* denotes its complex conjugate. Which one of the following is TRUE?

f(z) is both continuous and analytic

f(z) is continuous but not analytic

f(z) is not continuous but is analytic

f(z) is neither continuous nor analytic

(b) is the correct answer.

Ques 30 GATE 2016 SET-2

A 3x3 matrix P is such that, P³ = P. Then the eigenvalues of P are

1, 1, -1

1, 0.5+j0.866, 0.5-j0.866

1, -0.5+j0.866, -0.5-j0.866

0, 1, -1

(d) is the correct answer.

Ques 31 GATE 2016 SET-2

The solution of the differential equation, for t > 0, y"(t) + 2y'(t) + y(t) = 0 with initial conditions y(0)=0 and y'(0)=1 is (u(t) denotes the unit step function),

te^-tu(t)

(e^-t - te^-t)u(t)

(-e^-t + te^-t)u(t)

e^-tu(t)

(a) is the correct answer.

Ques 32 GATE 2016 SET-2

The value of the line integral ∫_c(2xy²dx + 2x²ydy + dz) along a path joining the origin (0,0,0) and the point (1,1,1) is

(b) is the correct answer.

Ques 33 GATE 2016 SET-2

Let y(x) be the solution of the differential equation d²y/dx² - 4(dy/dx) + 4y = 0 with initial conditions y(0)=0 and dy/dx|_x=0=1. Then the value of y(1) is ________.

(0.135) is the correct answer.

Ques 34 GATE 2016 SET-2

The line integral of the vector field F = 5xz î + (3x²+2y) ĵ + x²z k̂ along a path from (0,0,0) to (1,1,1) parametrized by (t, t², t) is ________.

(4.25) is the correct answer.

Ques 35 GATE 2016 SET-2

Let Consider the set S of all vectors such that a²+b²=1 where Then S is

a circle of radius √10

a circle of radius 1/√10

an ellipse with major axis along [1,1]^T

an ellipse with minor axis along [1,1]^T

(d) is the correct answer.

Ques 36 GATE 2016 SET-2

Let the probability density function of a random variable, X, be given as:
f_X(x) = (3/2)e^-3xu(x) + ae^4xu(-x)
where u(x) is the unit step function. Then the value of 'a' and Prob{X≤0}, respectively, are

2, 1/2

4, 1/2

2, 1/4

4, 1/4

Ques 37 GATE 2016 SET-2

The chairman requested the aggrieved shareholders to ________ him.

bare with

bore with

bear with

bare

Ques 38 GATE 2016 SET-2

Identify the correct spelling out of the given options:

Managable

Manageable

Managible

Mangaeble

(b) is the correct answer.

Ques 39 GATE 2016 SET-2

Pick the odd one out in the following:
13, 23, 33, 43, 53

(b) is the correct answer.

1 2 3 4 5

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