GATE Mechanical Engineer (ME) Paper 2010
1. Which of the following statements is INCORRECT?
(A) Grashof’s rule states that for a planar crank-rocker four bar mechanism, the
sum of the shortest and longest link lengths cannot be less than the sum of
the remaining two link lengths.
(B) Inversions of a mechanism are created by fixing different links one at a
time.
(C) Geneva mechanism is an intermittent motion device
(D) Gruebler’s criterion assumes mobility of a planar mechanism to be one
2. Tooth interference in an external involute spur gear pair
can be reduced by
(A) decreasing center distance between gear pair
(B) decreasing module
(C) decreasing pressure angle
(D) increasing number of gear teeth
3. For the stability of a floating body, under the influence of
gravity alone, which of the following is TRUE?
(A) Metacentre should be below centre of gravity
(B) Metacentre should be above centre of gravity
(C) Metacentre and centre of gravity must lie on the same horizontal line
(D) Metacentre and centre of gravity must lie on the same vertical line
4. The maximum velocity of a one-dimensional incompressible
fully developed viscous flow, between two fixed parallel plates, is 6ms-1. The
mean velocity (in ms-1) of the flow is
(A) 2 (B) 3 (C) 4 (D) 5
5. A phenomenon is modeled using n dimensional variables
with k primary dimensions. The number of non-dimensional variables is
(A) k (B) n (C) n-k (D) n+k
6.One kilogram of water at room temperature is brought into contact with a high
temperature thermal reservoir. The entropy change of the universe is
(A) equal to entropy change of the reservoir
(B) equal to entropy change of water
(C) equal to zero
(D) always positive
7. A hydraulic turbine develops 1000kW power for a head of 40m.
If the head is reduced to 20m, the power developed (in kW) is
(A) 177 (B) 354 (C) 500 (D) 707
8. The material property which depends only on the basic crystal
structure is
(A) fatigue strength (B) work hardening
(C) fracture strength (D) elastic constant
9. In a gating system, the ratio 1:2:4 represents
(A) sprue base area: runner area: ingate area
(B) pouring basin area: ingate area: runner area
(C) sprue base area: ingate area: casting area
(D) runner area: ingate area: casting area