Mechanical Engineering - Online Test

Q1. Consider steady-state heat conduction across the thickness in a plane composite wall (as shown in the figure) exposed to convection conditions on both sides.
 
Assuming negligible contact resistance between the wall surfaces, the interface temperature, T (in oC), of the two walls will be 
Answer : Option C
Explaination / Solution:
No Explaination.


Q2. Given  then the value of k is
Answer : Option D
Explaination / Solution:


By final value theorem


Q3. A simple quick return mechanism is shown in the figure. The forward to return ratio of the quick return mechanism is 2:1. If the radius of the crank O1P is 125mm, then the distance ‘d’(in mm) between the crank centre to lever pivot centre point should be

Answer : Option D
Explaination / Solution:
No Explaination.


Q4. The velocity profile of a fully developed laminar flow in a straight circular pipe, as shown in the figure, is given by the expression u (r) =  where dp/dx is a constant. The average velocity of fluid in the pipe is

Answer : Option A
Explaination / Solution:
No Explaination.


Q5. A fair coin is tossed 10 times. What is the probability that only the first two tosses will yield heads?
Answer : Option C
Explaination / Solution:

Number of elements in sample space is 210   Only one element  "H,H,T,T,T,T,T,T,T,T, is event. Thus probability is 1/210
Q6. The rotor shaft of a large electric motor supported between short bearings at both the end shows a deflection of 1.8mm in the middle of the rotor. Assuming the rotor to be perfectly balanced and supported at knife edges at both the ends, the likely critical speed (in rpm) of the shaft is
Answer : Option B
Explaination / Solution:
No Explaination.


Q7. Match the items in Column I and Column II. 
Column I                                 Column II 
P. Metallic Chills                      1. Support for the core 
Q. Metallic Chaplets                2. Reservoir of the molten metal 
R. Riser                                   3. Control cooling of critical sections 
S. Exothermic Padding           4. Progressive solidification
Answer : Option D
Explaination / Solution:
No Explaination.


Q8.
Answer : Option C
Explaination / Solution:

We have




Q9. A solid circular shaft of diameter d is subjected to a combined bending moment M and torque, T. The material property to be used for designing the shaft using the relation 
Answer : Option C
Explaination / Solution:
No Explaination.


Q10. The inlet and the outlet conditions of steam for an adiabatic steam turbine are as indicated in the notations are as usually followed

If mass flow rate of steam through the turbine is 20kg/s, the power output of the turbine (in MW ) is 
Answer : Option A
Explaination / Solution:
No Explaination.