1. The expression curl ( )
grad , where
f is a scalar function, is
(a) equal to 2f (b) equal to div (grad f)
(c) a scalar of zero magnitude (d) a vector of zero magnitude
2. In the Gauss elimination method for solving a system of linear algebraic
equations, triangularization leads to
(a) diagonal matrix (b) lower triangular matrix
(c) upper triangular matrix (d) singular matrix
3. If the two principal strains at a point are 1000 × 10- 6 and œ600 × 10- 6, then the maximum shear strain is
(a) 6× 800 10-6
(b) 6× 500 10-6
(c) 6× 1600 10-6
(d) 6× 200 10-6
4. If the ratio of the diameter of rivet hole to the pitch of rivets is 0.25, then the
tearing efficiency of the joint is
(a) 0.50 (b) 0.75 (c) 0.25 (d) 0.87
5. In thick film hydrodynamic journal bearings, the coefficient of friction
(a) increases with increase in load
(b) is independent of load
(c) decreases with increase in load
(d) may increase or decrease with increase in load
6. A ball A of mass m falls under gravity from a height h and strikes another ball B of mass m which supported at rest on a spring of stiffness k. Assume perfectly elastic impact. Immediately after the impact
(a) the velocity of ball A is 2gh (b) the velocity of ball A is zero
(c) the velocity of both ball is gh (d) None of the above
7. The bolts in a rigid flanged coupling connecting two shafts transmitting power are subjected to
(a) shear force and bending moment (b) axial force
(c) torsion (d) torsion and bending moment
8. A wheel of mass m and radius r is in accelerated rolling motion without slip under
a steady axial torque T. If the coefficient of kinetic friction is , the friction force
from the ground on the wheel is:
(a) mg (b) Tr
(c) zero (d) None of the above
9. In spur gears, the circle on which the involute is generated is called the
(a) pitch circle (b) clearance circle
(c) base circle (d) addendum circle
10. The specific heats of an ideal gas depend on its
(a) temperature (b) pressure
(c) volume (d) molecular weight and structure
11. A cycle consisting of two reversible isothermal processes and two reversible
isobaric processes is known as
(a) Atkinson cycle (b) Stirling cycle
(c) Brayton cycle (d) Ericsson cycle
12. In flow through a pipe, the transition from laminar to turbulent flow does not depend on
(a) velocity of the fluid (b) density of the fluid
(c) diameter of the pipe (d) length of the pipe
13. For a given heat flow and for the same thickness, the temperature drop across the material will be maximum for
(a) copper (b) steel
(c) glass-wool (d) refractory brick
14. When wet steam flows through a throttle valve and remains wet at exit
(a) its temperature and quality increases
(b) its temperature decreases but quality increases
(c) its temperature increases but quality decreases
(d) its temperature and quality decreases
15. The rake angle in a drill
(a) increases from centre to periphery
(b) decreases from centre to perihery
(c) remains constant
(d) is irrelevant to the drilling operation
16. Light impurities in the molten metal are prevented from reaching the mould cavity by providing a
(a) strainer (b) button well
(c) skim bob (d) all of the above
17. Preheating before welding is done to
(a) make the steel softer
(b) burn away oil, grease, etc., from the plate surface
(c) prevent cold cracks
(d) prevent plate distortion
18. The fit on a hole-shaft system is specified as 117-s6. The type of fit is
(a) clearance fit (b) running fit (sliding fit)
(c) push fit (transition fit) (d) force fit (interference fit)
19. The iron-carbon diagram an the TTT curves are determined under
(a) equilibrium and non-equilibrium conditions respectively
(b) non-equilibrium and equilibrium conditions respectively
(c) equilibrium conditions for both
(d) non-equilibrium conditions for both
20. If at the optimum in a linear programming problem, a dual variable corresponding to a particular primal constraint is zero, then it means that
(a) right hand side of the primal constraint can be altered without affecting the
optimum solution
(b) changing the right hand side of the primal constraint will disturb the optimum
solution
(c) the objective function is unbounded
(d) the problem is degenerate
21. The individual human variability in time studies to determine the production standards is taken care of by
(a) personal allowances (b) work allowances
(c) rating factor (d) None of the above
22. A ball falls from a height of 1m, hits the ground and rebounds with half its velocity just before impact. Then after rising it falls and hits the ground and again rebounds with half its velocity just before impact, and so on. The total distance
traveled by the ball till it comes to rest on the ground is
(a) 2m (b) 3 m (c) 5m
(d) 4 m
23. A solid shaft can resist a bending moment of 3.0 kNm and a twisting moment of 4.0 kNm together, then the maximum torque that can be applied is:
(a) 7.0 kNm (b) 3.5 kNm (c) 4.5 kNm (d) 5.0 kNm
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