Mechanical Engineering Gate 2015 Set-2 Questions with Answer

Ques 53 GATE 2015 SET-2


A gas is stored in a cylindrical tank of inner radius 7 m and wall thickness 50 mm. The gage pressure of the gas is 2 MPa. The maximum shear stress (in MPa) in the wall is

A

35

B

70

C

140

D

280


(c) is the correct answer.

Ques 54 GATE 2015 SET-2


The uniaxial yield stress of a material is 300 MPa. According to von Mises criterion, the shear yield stress (in MPa) of the material is ________.


(173.2) is the correct answer.

Ques 55 GATE 2015 SET-2


In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform angular speed of 14 rad/s and the crank length is 300 mm, the maximum acceleration of the slider (in m/s2) is ________.


(117.6) is the correct answer.

Ques 56 GATE 2015 SET-2


The number of degrees of freedom of the planetary gear train shown in the figure is

A

0

B

1

C

2

D

3


(c) is the correct answer.

Ques 57 GATE 2015 SET-2


A rope-brake dynamometer attached to the crank shaft of an I.C. engine measures a brake power of 10 kW when the speed of rotation of the shaft is 400 rad/s. The shaft torque (in N-m) sensed by the dynamometer is ________.


(25) is the correct answer.

Ques 58 GATE 2015 SET-2


Work is done on an adiabatic system due to which its velocity changes from 10 m/s to 20 m/s, elevation increases by 20 m and temperature increases by 1 K. The mass of the system is 10 kg, Cv = 100 J/(kg.K) and gravitational acceleration is 10 m/s2. If there is no change in any other component of the energy of the system, the magnitude of total work done (in kJ) on the system is ________.


(4.5) is the correct answer.

Ques 59 GATE 2015 SET-2


One kg of air (R = 287 J/kg-K) undergoes an irreversible process between equilibrium state 1 (20°C, 0.9 m3) and equilibrium state 2 (20°C, 0.6 m3). The change in entropy s2-s1 (in J/kg-K) is ________.


(-116.3) is the correct answer.

Ques 60 GATE 2015 SET-2


For the same values of peak pressure, peak temperature and heat rejection, the correct order of efficiencies for Otto, Dual and Diesel cycles is

A

ηOtto > ηDual > ηDiesel

B

ηDiesel > ηDual > ηOtto

C

ηDual > ηDiesel > ηOtto

D

ηDiesel > ηOtto > ηDual


(b) is the correct answer.

Ques 61 GATE 2015 SET-2


In a Rankine cycle, the enthalpies at turbine entry and outlet are 3159 kJ/kg and 2187 kJ/kg, respectively. If the specific pump work is 2 kJ/kg, the specific steam consumption (in kg/kW-h) of the cycle based on net output is ________.


(3.71) is the correct answer.

Ques 62 GATE 2015 SET-2


Which of the following statements regarding a Rankine cycle with reheating are TRUE?
(i) increase in average temperature of heat addition
(ii) reduction in thermal efficiency
(iii) drier steam at the turbine exit

A

only (i) and (ii) are correct

B

only (ii) and (iii) are correct

C

only (i) and (iii) are correct

D

(i), (ii) and (iii) are correct


(c) is the correct answer.

Ques 63 GATE 2015 SET-2


The COP of a Carnot heat pump operating between 6°C and 37°C is ________.


(10) is the correct answer.

Ques 64 GATE 2015 SET-2


The Van der Waals equation of state is (p + a/v2)(v-b) = RT, where p is pressure, v is specific volume, T is temperature and R is characteristic gas constant. The SI unit of a is

A

J/kg-K

B

m3/kg

C

m5/kg-s2

D

Pa/kg


(c) is the correct answer.

Ques 65 GATE 2015 SET-2


A single-degree-freedom spring-mass system is subjected to a sinusoidal force of 10 N amplitude and frequency ω along the axis of the spring. The stiffness of the spring is 150 N/m, damping factor is 0.2 and the undamped natural frequency is 10 rad/s. At steady state, the amplitude of vibration (in m) is approximately

A

0.05

B

0.07

C

0.70

D

0.90


(b) is the correct answer.

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