Mechanical Engineering - Online Test
Q1. The trigonometric Fourier series of an even function does not have the
Answer : Option C
Explaination / Solution:
For an even function Fourier series contains dc term and cosine term (even and odd harmonics).
Q2. Which combination of the following statements about steady incompressible
forced vortex flow is correct ?
P: Shear stress is zero at all points in the flow.
Q: Vorticity is zero at all points in the flow.
R: Velocity is directly proportional to the radius from the center of the vortex.
S: Total mechanical energy per unit mass is constant in the entire flow field.
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. A stepped steel shaft shown below is subjected to 10 Nm torque. If the modulus
of rigidity is 80 GPa, the strain energy in the shaft in N-mm is
Answer : Option C
Explaination / Solution:
No Explaination.
Q4. The value of the integral 
where c is the circle |z| = 1 is given
by
where c is the circle |z| = 1 is given
by
Answer : Option A
Explaination / Solution:
C R Integrals is 
where C is circle |z| = 1
where C is circle |z| = 1So poles are outside the unit circle.
Q5. Match List-I with List-II and select the correct answer using the codes given
below the lists :
Codes:
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. A thin spherical pressure vessel of 200 mm diameter and 1 mm thickness is
subjected to an internal pressure varying form 4 to 8 MPa. Assume that the
yield, ultimate and endurance strength of material are 600, 800 and 400 MPa
respectively. The factor of safety as per Goodman’s relation is
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. Let 
, and h(t) is a filter matched to g(t). if g(t) is applied as input to h(t) then the Fourier transform of the output is
, and h(t) is a filter matched to g(t). if g(t) is applied as input to h(t) then the Fourier transform of the output is
Answer : Option D
Explaination / Solution:
The matched filter is characterized by a frequency response that is given as
Q8. A block of mass
M is released from point P on a rough inclined plane with
inclination angle θ, shown in the figure below. The co-efficient of friction is μ.
If μ < tanθ, then the time taken by the block to reach another point Q on the
inclined plane, where PQ = s, is
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. A natural feed journal bearing of diameter 50 mm and length 50 mm operating at
20 revolution/ second carries a load of 2 kN. The lubricant used has a viscosity of
20 mPas. The radial clearance is 50 μm . The Sommerfeld number for the bearing is
Answer : Option B
Explaination / Solution:
No Explaination.
Q10.
Let U and V be two independent zero mean Gaussain random variables of variances 1/4 and 1/9 respectively. The probability
Answer : Option B
Explaination / Solution:
Given, random variables U and V with mean zero and variances 1/4 and 1/9
The distribution is shown in the figure below
We can express the distribution in standard form by assuming
The distribution is shown in the figure below
We can express the distribution in standard form by assuming
