ME GATE 2017 PAPER 02 - Online Test
Q1. In a counter-flow heat exchanger, water is heated at the rate of 1.5kg/s from 40°C to 80°C by
an oil entering at 120°C and leaving at 60°C. The specific heats of water and oil are
4.2kJ/kg.K and 2kJ/kg.K respectively. The overall heat transfer coefficient is 400 W/m2.K.
The required heat transfer surface area (in m2) is
Answer : Option D
Explaination / Solution:
Given counter flow Heat Exchanger
Q2. A cantilever beam of length L and flexural modulus EI is subjected to a point load P at the free
end. The elastic strain energy stored in the beam due to bending (neglecting transverse shear)
Answer : Option A
Explaination / Solution:
Q3. The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is 2.87 m3 and 300K, respectively. The gauge pressure indicated by a manometer fitted to the wall of the
vessel is 0.5bar. If the gas constant of air is R = 287 J/kg. K and the atmospheric pressure is 1
bar, the mass of air (in kg) in the vessel is
Answer : Option C
Explaination / Solution:
Q4. Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is
denoted by τw. The axial positions x1 and x2 on the plate are measured from the leading edge
in the direction of flow. If x2 > x1, then
Answer : Option C
Explaination / Solution:
Q5. A calorically perfect gas (specific heat at constant pressure 1000 J/kg.K) enters and leaves a gas
turbine with the same velocity. The temperatures of the gas at turbine entry and exit are 1100 K
and 400 K. respectively. The power produced is 4.6 MW and heat escapes at the rate of 300 kJ/s
through the turbine casing. The mass flow rate of the gas (in kg/s) through the turbine is.
Answer : Option B
Explaination / Solution:
Q6. 
A mass m is attached to two identical springs having spring constant k as shown in the figure. The natural frequency 𝜔 of this single degree of freedom system is
Answer : Option A
Explaination / Solution:
Q7. A metal ball of diameter 60mm is initially at 220 °C. The ball is suddenly cooled by an air jet
of 20°C. The heat transfer coefficient is 200 W/m2. K and 9000kg/m3, respectively. The ball
temperature (in °C) after 90 seconds will be approximately.
Answer : Option A
Explaination / Solution:
Q8. A steel plate, connected to a fixed channel using three identical bolts A, B and C, carries a
load of 6kN as shown in the figure. Considering the effect of direct load and moment, the
magnitude of resultant shear force (in kN) on bolt C is.
Answer : Option C
Explaination / Solution:
Primary shear = 6/3 = 2kN
Secondaryshear 1500 kN - mm
Resultantshear at 'C' = 2 + 15 = 17kN
Resultant shear = 15 + 2 = 17 kN
Q9. During the turning of a 20mm-diameter steel bar at a spindle speed of 400 rpm, a tool life of
20 minute is obtained. When the same bar is turned at 200 rpm, the tool life becomes 60
minute. Assume that Taylor's tool life equation is valid. When the bar is turned at 300 rpm, the
tool life (in minute) is approximately.
Answer : Option B
Explaination / Solution:
Taylors Tool life equation,
Q10. A rod of length 20mm is stretched to make a rod of length 40 mm. Subsequently, it is
compressed to make a rod of final length 10mm. Consider the longitudinal tensile strain as
positive and compressive strain as negative. The total true longitudinal strain in the rod is
Answer : Option B
Explaination / Solution:
