ME GATE 2012 - Online Test

Q1. In an interchangeable assembly, shafts of size  mm mate with holes of size  mm. The maximum interference (in macrons) in the assembly is
Answer : Option C
Explaination / Solution:

+ 0.040
– 0.010 
Shaft size 25.000 mm
24 mm 90 µm < d< 25 mm 40 µm
+ 0.030 
+ 0.020
Hole size 
25 mm 20 µm < d< 25 mm 30 µm
Max Interference 
= Max shaft size – Min Hole size
= 25 mm 40 µm – 25 mm 20 µm 
= 20 µm

Q2. A refrigerator operates between 120 kPa and 800 kPa in an ideal vapor compression cycle with R134a as the refrigerant. The refrigerant enters the compressor as saturated vapor and leaves the condenser as saturated liquid. The mass flow rate of the refrigerant is 0.2 kg/s. Properties for R-134a are as follows: 
The power required for the compressor in kW is
Answer : Option C
Explaination / Solution:
No Explaination.


Q3. 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
Answer : Option C
Explaination / Solution:

Critical buckling load for both end clamped = 
Critical buckling load for both end hinged = 
Ratio = 4

Q4. Air enters an adiabatic nozzle at 300 kPa, 500 K with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm2. The specific heat of air Cp is 1008 J/kg.K.
The exit temperature of the air is
Answer : Option C
Explaination / Solution:



Q5. A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is l and the Young’s modulus is E. The magnitude of the maximum deflection is
Answer : Option A
Explaination / Solution:
No Explaination.


Q6. Air enters an adiabatic nozzle at 300 kPa, 500 K with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm2. The specific heat of air Cis 1008 J/kg.K.
 The exit area of the nozzle in is
Answer : Option D
Explaination / Solution:
No Explaination.


Q7. 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
Answer : Option B
Explaination / Solution:



Q8. In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is

Answer : Option B
Explaination / Solution:



Q9. A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies to a height of 25 mm. The percentage change in diameter is
Answer : Option D
Explaination / Solution:



Q10. The state of stress at a point under plane stress condition is σxx = 40 MPa, σyy = 100 MPa and τxy = 40 MPa The radius of the Mohr’s circle representing the given state of stress in MPa is
Answer : Option B
Explaination / Solution: