Mechanical Engineering - Online Test
Q1. For the stability of a floating body the
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. To evaluate the double integral 
we make the substitution 
The integral will reduce to
we make the substitution The integral will reduce to
Answer : Option B
Explaination / Solution:
Q3. For the four-bar linkage shown in the figure, the angular velocity of link AB is 1
rad/s. the length of link CD is 1.5 times the length of link AB. In the configuration
shown, the angular velocity of link CD in rad/s is
Answer : Option D
Explaination / Solution:
For the given configuration
Q4. In an experimental set-up, air flows between two stations P and Q adiabatically.
The direction of flow depends on the pressure and temperature conditions
maintained at P and Q. The conditions at station P are 150kPa and 350K. The
temperature at station Q is 300K.
The following are the properties and relations pertaining to air:
Specific heat at constant pressure, Cp = 1.005kJ / kgK;
Specific heat at constant volume, Cv = 0.718kJ / kgK;
Characteristic gas constant, R = 0.287kJ / kgK
Enthalpy, h = CpT
Internal energy, u = CvT
If the air has to flow from station P to station Q, the maximum possible value of
pressure in kPa at station Q is close to
Answer : Option B
Explaination / Solution:
To cause the flow from P to Q, change in entropy (SP - SQ) should be
greater than zero 
∴ The maximum value of pressure at Q = 87 kPa
Q5. The crystal structure of aluminium is
Answer : Option B
Explaination / Solution:
No Explaination.
Q6. The minimum value of the function f(x) = x3 - 3x2 - 24x +
100 in the interval [-3. 3] is
Answer : Option B
Explaination / Solution:
Q7. A stone with mass of 0.1kg is catapulted as shown in the figure. The total force Fx (in N) exerted by the rubber band as a function of distance x (in m) is given by F = 300x2. If the stone is displaced by 0.1m from the un-stretched position
(x=0) of the rubber band, the energy stored in the rubber band is
Answer : Option B
Explaination / Solution:
Energy stored in the bar = W.D. by the stone
Q8. In an experimental set-up, air flows between two stations P and Q adiabatically. The direction of flow depends on the pressure and temperature conditions maintained at P and Q. The conditions at station P are 150kPa and 350K. The temperature at station Q is 300K.
The following are the properties and relations pertaining to air:
Specific heat at constant pressure, Cp = 1.005kJ / kgK;
Specific heat at constant volume, Cv = 0.718kJ / kgK;
Characteristic gas constant, R = 0.287kJ / kgK
Enthalpy, h = CpT
Internal energy, u = CvT
If the pressure at station Q is 50kPa, the change in entropy (SQ - SP) in kJ/kgK is
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. The “Jominy test” is used to find
Answer : Option B
Explaination / Solution:
Jominy Test measures the hardenability of the steels.
Q10. Consider a function f(x) = 1 - |x| on -1 ≤ x ≤ 1. The value of x at which the function attains a maximum, and the maximum value of function are:
Answer : Option C
Explaination / Solution:
