Electrical Engineering Gate 2016 Set-1 Questions with Answer

Ques 27 GATE 2016 SET-1

In cylindrical coordinate system, the potential produced by a uniform ring charge is given by φ = f(r,z), where f is a continuous function of r and z. Let E⃗ be the resulting electric field. Then the magnitude of ∇ x E⃗

Ques 28 GATE 2016 SET-1

A soft-iron toroid is concentric with a long straight conductor carrying a direct current I. If the relative permeability μ_r of soft-iron is 100, the ratio of the magnetic flux densities at two adjacent points located just inside and just outside the toroid, is ________.

Ques 29 GATE 2016 SET-1

Two electric charges q and -2q are placed at (0,0) and (6,0) on the x-y plane. The equation of the zero equipotential curve in the x-y plane is

Ques 30 GATE 2016 SET-1

The maximum value attained by the function f(x) = x(x-1)(x-2) in the interval [1, 2] is ________.

Ques 31 GATE 2016 SET-1

Consider a 3x3 matrix with every element being equal to 1. Its only non-zero eigenvalue is ________.

Ques 32 GATE 2016 SET-1

The Laplace Transform of f(t) = e^2tsin(5t)u(t) is

Ques 33 GATE 2016 SET-1

A function y(t), such that y(0)=1 and y(1)=3e^-1, is a solution of the differential equation d²y/dt² + 2(dy/dt) + y = 0. Then y(2) is

Ques 34 GATE 2016 SET-1

The value of the integral ∫_c (2z+5)/((z-1/2)(z²-4z+5)) dz over the contour |z|=1, taken in the anti-clockwise direction, would be

Ques 35 GATE 2016 SET-1

Candidates were asked to come to an interview with 3 pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all 3 pens having the same colour is ________.

Ques 36 GATE 2016 SET-1

Let S = Σ_n=0^∞ nαⁿ where |α|<1. The value of α in the range 0 < α < 1, such that S = 2α is ________.

Ques 37 GATE 2016 SET-1

Let the eigenvalues of a 2x2 matrix A be 1, -2 with eigenvectors x₁ and x₂ respectively. Then the eigenvalues and eigenvectors of the matrix A² - 3A + 4I would, respectively, be

Ques 38 GATE 2016 SET-1

Let A be a 4x3 real matrix with rank 2. Which one of the following statement is TRUE?

Ques 39 GATE 2016 SET-1

The man who is now Municipal Commissioner worked as