Gate — Quiz

GATE Production and Industrial

7 questions · Test your knowledge

1 Consider the function f(x) = |x| in the interval -1 ≤ x ≤ 1. At the point x = 0, f(x) is
2 At x = 0, the function f (x) = x3 + 1 has
3 The area enclosed between the straight line y = x and the parabola y = x2 in the x-y plane is
4 For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is
5 A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is
6 A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is
7 Which one of the following configurations has the highest fin effectiveness?
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