ME GATE 2013 - Online Test
Q1. A hinged gate of length 5 m, inclined at 30° with the horizontal and with water
mass on its left, is shown in figure below. Density of water is 1000 kg / m2. The
minimum mass of the gate in kg per unit width (perpendicular to the plane of
paper), required to keep it closed is
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. The pressure, temperature and velocity of air flowing in a pipe are 5 bar, 500 K
and 50 m/s, respectively. The specific heats of air at constant pressure and at
constant volume are 1.005 kJ/kgK and 0.718 kJ/kgK, respectively. Neglect
potential energy. If the pressure and temperature of the surroundings are 1 bar
and 300 K, respectively, the available energy in kJ/kg of the air stream is
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. Water (specific heat, cp = 4.18 kJ / kgK) enters a pipe at a rate of 0.01 kg/s and
a temperature of 20 C° . The pipe, of diameter 50 mm and length 3m, is
subjected to a wall heat flux 
f q''w = 2500x, where x is in m and in the direction of flow (x=0 at the inlet), the
bulk mean temperature of the water leaving the pipe in °C is
Answer : Option B
Explaination / Solution:
Q4. Water (specific heat, cp = 4.18 kJ / kgK) enters a pipe at a rate of 0.01 kg/s and a temperature of 20 C° . The pipe, of diameter 50 mm and length 3m, is subjected to a wall heat flux
If q''w = 5000, and the convection heat transfer coefficient at the pipe outlet is 1000 W / m2K, the temperature in °C at the inner surface of the pipe at the outlet
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. In a simple Brayton cycle, the pressure ration is 8 and temperatures at the
entrance of compressor and turbine are 300 K and 1400 K, respectively. Both
compressor and gas turbine have isentropic efficiencies equal to 0.8. For the
gas, assume a constant value of cp (specific heat at constant pressure) equal to
1 kJ/kgK and ratio of specific heats as 1.4. Neglect changes in kinetic and
potential energies.
The power required by the compressor in kW/kg of gas flow rate is
Answer : Option C
Explaination / Solution:
Q6. In a simple Brayton cycle, the pressure ration is 8 and temperatures at the
entrance of compressor and turbine are 300 K and 1400 K, respectively. Both
compressor and gas turbine have isentropic efficiencies equal to 0.8. For the
gas, assume a constant value of cp (specific heat at constant pressure) equal to
1 kJ/kgK and ratio of specific heats as 1.4. Neglect changes in kinetic and
potential energies.
The thermal efficiency of the cycle in percentage (%) is
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. If two nodes are observed at a frequency of 1800 rpm during whirling of a simply
supported long slender rotating shaft, the first critical speed of the shaft in rpm is
Answer : Option D
Explaination / Solution:
Since it is simply supported critical speed will be half
Q8. A planar closed kinematic chain is formed with rigid links PQ = 2.0m, QR = 3.0m,
RS = 2.5m and SP = 2.7m with all revolute joints. The link to be fixed to obtain a
double rocker (rocker-rocker) mechanism is
Answer : Option C
Explaination / Solution:
Since for Rocker – Rocker mechanism the link opposite to smaller link
must be fixed
Q9. A compound gear train with gears P, Q, R and S has number of teeth 20, 40,
15 and 20, respectively. Gears Q and R are mounted on the same shaft as
shown in the figure below. The diameter of the gear Q is twice that of the gear
R. If the module of the gear R is 2 mm, the center distance in mm between
gears P and S is
Answer : Option B
Explaination / Solution:
Q10. A pin jointed uniform rigid rod of weight W and Length L is supported horizontally
by an external force F as shown in the figure below. The force F is suddenly
removed. At the instant of force removal, the magnitude of vertical reaction
developed at the support is 
Answer : Option B
Explaination / Solution:
No Explaination.
