Mechanical Engineering Gate Yearwise
Mechanical Engineering GATE 2017 Set-2 Questions with Answer
Ques 1 Engineering Mathematics
Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is ________.
0.75 is the correct answer.
Ques 2 Engineering Mathematics
The divergence of the vector -yi + xj is ________.
0 is the correct answer.
Ques 3 Engineering Mathematics
The determinant of a 2x2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is ________.
5 is the correct answer.
Ques 4 Engineering Mathematics
A sample of 15 data is as follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of the data is
Ques 5 Engineering Mathematics
The Laplace transform of tet is
Ques 6 Engineering Mathematics
The surface integral ∫∫S F.n dS over the surface S of the sphere x2 + y2 + z2 = 9, where F = (x+y)i + (x+z)j + (y+z)k and n is the unit outward surface normal, yields ________.
226.19 is the correct answer.
Ques 7 Engineering Mathematics
Consider the differential equation 3y"(x) + 27y(x) = 0 with initial conditions y(0) = 0 and y'(0) = 2000. The value of y at x=1 is ________.
94.08 is the correct answer.
Ques 8 Engineering Mathematics
Consider the matrix
, whose eigenvectors corresponding to eigenvalues
, respectively. The value of x1Tx2 is ________.
0 is the correct answer.
Ques 9 Engineering Mathematics
If f(z) = (x2 + ay2) + i bxy is a complex analytic function of z = x+iy, where i = √-1, then
Ques 10 Engineering Mechanics
The rod PQ of length L = √2 m, and uniformly distributed mass of M = 10 kg, is released from rest at the position shown in the figure. The ends slide along the frictionless faces OP and OQ. Assume acceleration due to gravity, g = 10 m/s2. The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (ML2/12). At this instant, the magnitude of angular acceleration (in radian/s2) of the rod is ________.
7.5 is the correct answer.
Ques 11 Fluid Mechanics
Which one of the following statements is TRUE?
Ques 12 Fluid Mechanics
For the stability of a floating body the
Ques 13 Fluid Mechanics
Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is denoted by τw. The axial positions x1 and x2 on the plate are measured from the leading edge in the direction of flow. If x2 > x1, then
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