Mechanical Engineering - Online Test

Q1. A frictionless piston-cylinder device contains a gas initially at 0.8MPa and 0.015 m3. It expands quasi-statically at constant temperature to a final volume of 0.030 m3. The work output (in kJ) during this process will be 
Answer : Option A
Explaination / Solution:
No Explaination.


Q2. The order of the differential equation

Answer : Option B
Explaination / Solution:

The highest derivative terms present in DE is of 2nd order.

Q3. Which type of motor is NOT used in axis or spindle drives of CNC machine tools ?
Answer : Option C
Explaination / Solution:
No Explaination.


Q4.  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.


Q5. In an ideal vapour compression refrigeration cycle, the specific enthalpy of refrigerant (in kJ/kg) at the following states is given as:
Inlet of condenser: 283
Exit of condenser: 116 
Exit of evaporator: 232 
The COP of this cycle is 
Answer : Option A
Explaination / Solution:
No Explaination.


Q6. The eigen values of a skew-symmetric matrix are
Answer : Option C
Explaination / Solution:

Eigen value of a Skew-symmetric matrix are either zero or pure imaginary in conjugate pairs.

Q7. Volume of a cube of side ‘l’ and volume of a sphere of radius ‘r’ are equal. Both the cube and the sphere are solid and of same material. They are being cast. The ratio of the solidification time of the cube to the same of the sphere is
Answer : Option D
Explaination / Solution:
No Explaination.


Q8. In a CAD package, mirror image of a 2D point P(5, 10) is to be obtained about a line which passes through the origin and makes an angle of 45° counterlockwise with the X-axis. The coordinates of the transformed point will be
Answer : Option B
Explaination / Solution:
No Explaination.


Q9. A compressor undergoes a reversible, steady flow process. The gas at inlet and outlet of the compressor is designated as state 1 and state 2 respectively. Potential and kinetic energy changes are to be ignored. The following notation are used: v = specific volume and P = pressure of the gas. The specific work required to be supplied to the compressor for this gas compression process is
Answer : Option B
Explaination / Solution:
No Explaination.


Q10. The trigonometric Fourier series for the waveform f (t) shown below contains

Answer : Option C
Explaination / Solution:

For a function x(t) trigonometric fourier series is

For an even function x(t),Bn = 0
Since given function is even function so coefficient Bn = 0, only cosine and constant
terms are present in its fourier series representation.
Constant term :


Constant term is negative.