Mechanical Engineering - Online Test
Q1. A hydraulic turbine develops 1000kW power for a head of 40m. If the head is
reduced to 20m, the power developed (in kW) is
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. Consider the 5 × 5 matrix
It is given that A has only one real eigen value. Then the real eigen value of A is
Answer : Option C
Explaination / Solution:
Q3. What are the upper and lower limits of the shaft represented by 60 f8?
Use the following data:
Diameter 60 lies in the diameter step of 50 -80mm.
Fundamental tolerance unit,
i = in μm = 0.45D1/3 + 0.001D, where D is the representative size in mm;
Tolerance value for IT8 = 25i. Fundaental deviation for ‘f’ shaft = -5.5D0.41
Answer : Option A
Explaination / Solution:
No Explaination.
Q4. The demand and forecast for February are 12000 and 10275, respectively. Using
single exponential smoothening method (smoothening coefficient = 0.25),
forecast for the month of March is
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. The rank of the matrix M = 
is
is
Answer : Option C
Explaination / Solution:
Q6. A 20o full depth involute spur pinion of 4 mm module and 21 teeth is to transmit 15 kw at 960
rpm. Its face width is 25 mm
The tangential force transmitted (in N ) is
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. A smooth pipe of diameter 200mm carries water. The pressure in the pipe at
section S1 (elevation: 10m) is 50kPa. At Section S2 (elevation: 12m) the
pressure is 20kPa and velocity is 2ms-1. Density of water is 1000kgm-3 and
acceleration due to gravity is 9.8ms-2. Which of the following is TRUE?
Answer : Option C
Explaination / Solution:
No Explaination.
Q8. A periodic signal x(t) has a trigonometric Fourier series expansion 
If 
we can conclude that
we can conclude that
Answer : Option A
Explaination / Solution:
If x(t) = -x(-t) the given periodic signal is odd symmetric. For an odd symmetric signal an = 0 for all n.
If x(t) = -x(t- π/𝜔0), π/𝜔0 = T0/2 where T0 is fundamental period then the given condition satisfies half-wave symmetry.
For half-wave symmetrical signal all coefficients an and bn are zero for even value of n.
Q9. A 20o full depth involute spur pinion of 4 mm module and 21 teeth is to transmit 15 kw at 960 rpm. Its face width is 25 mm
The tangential force transmitted (in N ) is
Given that the tooth geometry factor is 0.32 and the combined effect of dynamic load and allied
factors intensifying the stress is 1.5; the minimum allowable stress (in MPa) for the gear material is
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. Match the following
P:Compressible flow U: Reynolds number
Q: Free surface flow V: Nusselt number
R: Boundary layer flow W: Weber number
S: Pipe flow X: Froude number
T: Heat convection Y: Mach number
Z: Skin friction coefficient
Answer : Option D
Explaination / Solution:
No Explaination.
