Mechanical Engineering - Online Test
Q1. Consider one-dimensional steady state heat conduction along x-axis 
through a plane wall with the boundary surfaces (x = 0 and x = L) maintained at temperatures 0ºC and 100ºC. Heat is generated uniformly throughout the wall. Choose the CORRECT statement.
through a plane wall with the boundary surfaces (x = 0 and x = L) maintained at temperatures 0ºC and 100ºC. Heat is generated uniformly throughout the wall. Choose the CORRECT statement.
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. During normalizing process of steel, the specimen is heated
Answer : Option C
Explaination / Solution:
In normalization process
Steel is heated above upper critical temperature and cooled in still air.
Q3. The matrix 
has three distinct eigenvalues and one of its eigenvectors is 
Which one of the following can be another eigenvector of A?
has three distinct eigenvalues and one of its eigenvectors is Which one of the following can be another eigenvector of A?
Answer : Option C
Explaination / Solution:
By the properties of Eigen values and Eigen vectors, another eigen vector of A is 
The eigen vectors corresponding to distinct eigen values of a real symmetric matrix are
orthogonal i.e., pair wise dot product is zero
Q4. A solid disc with radius a is connected to a spring at a point d
above the center of the disc. The other end of the spring is fixed to the
vertical wall. The disc is free to roll without slipping on the ground.
The mass of the disc is M and the spring constant is K. The polar
moment of inertia for the disc about its center is j = Ma2/2
The natural frequency of this system in rad/s is given by
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. A cylinder contains 5m3 of ideal gas at a pressure of 1 bar. This gas is compressed in a reversible isothermal process till its pressure increases to 5 bar. The work in kJ required for this process is
Answer : Option A
Explaination / Solution:
Q6. Match the following metal forming processes with their associated stresses in the work-piece.
Metal forming process Type of stress
1. Coining P. Tensile
2. Wire Drawing Q. Shear
3. Blanking R. Tensile and compressive
4. Deep Drawing S. Compressive
Answer : Option A
Explaination / Solution:
Coining → Compressive
Wire drawing→ Tensile
Blanking → Shear
Deep Drawing → Tensile and Compressive
Q7. Consider the differential equation 
. There exists a
unique solution for this differential equation when t belongs to the interval
. There exists a
unique solution for this differential equation when t belongs to the interval
Answer : Option A
Explaination / Solution:
Q8. A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, as shown in the figure below. If OA = 1m, the magnitude of the absolute acceleration of the block at location A in m/ S2 is
Answer : Option C
Explaination / Solution:
Q9. Consider fully developed flow in a circular pipe with negligible entrance length effects.
Assuming the mass flow rate, density and friction factor to be constant, if the length of the
pipe is doubled and the diameter is halved, the head loss due to friction will increase by a
factor of
Answer : Option D
Explaination / Solution:
Q10. In abrasive jet machining, as the distance between the nozzle tip and the work surface increases,
the material removal rate
Answer : Option D
Explaination / Solution:
Graph of abrasive flow rate v/s tool tip distance metal removal rate is proportional to abrasive
flow rate. As the tool tip distance increase, area of contact increases which results in higher metal
removal rate. But after a certain distance, the jet looses its velocity, hence metal removal rate
decreases.
