Mechanical Engineering Gate 2017 Set-2 Questions with Answer

Ques 27 GATE 2017 SET-2


The heat loss from a fin is 6 W. The effectiveness and efficiency of the fin are 3 and 0.75, respectively. The heat loss (in W) from the fin, keeping the entire fin surface at base temperature, is ________.


(8) is the correct answer.

Ques 28 GATE 2017 SET-2


The emissive power of a blackbody is P. If its absolute temperature is doubled, the emissive power becomes

A

2 P

B

4 P

C

8 P

D

16 P


(d) is the correct answer.

Ques 29 GATE 2017 SET-2


In a counter-flow heat exchanger, water is heated at the rate of 1.5 kg/s from 40°C to 80°C by an oil entering at 120°C and leaving at 60°C. The specific heats of water and oil are 4.2 kJ/kg.K and 2 kJ/kg.K respectively. The overall heat transfer coefficient is 400 W/m2.K. The required heat transfer surface area (in m2) is

A

0.104

B

0.022

C

10.4

D

21.84


(d) is the correct answer.

Ques 30 GATE 2017 SET-2


A metal ball of diameter 60 mm is initially at 220°C. The ball is suddenly cooled by an air jet of 20°C. The heat transfer coefficient is 200 W/m2.K. The specific heat, thermal conductivity and density of the metal ball are 400 J/kg.K, 400 W/m.K and 9000 kg/m3, respectively. The ball temperature (in °C) after 90 seconds will be approximately

A

141

B

163

C

189

D

210


(a) is the correct answer.

Ques 31 GATE 2017 SET-2


For a single server with Poisson arrival and exponential service time, the arrival rate is 12 per hour. Which one of the following service rates will provide a steady state finite queue length?

A

6 per hour

B

10 per hour

C

12 per hour

D

24 per hour


(d) is the correct answer.

Ques 32 GATE 2017 SET-2


A project starts with activity A and ends with activity F. The precedence relation and durations of the activities are as per the following table:

ActivityImmediate predecessorDuration (days)
A-4
BA3
CA7
DB14
EC4
FD, E9

The minimum project completion time (in days) is ________.


(30) is the correct answer.

Ques 33 GATE 2017 SET-2


A machine component made of a ductile material is subjected to a variable loading with σmin = -50 MPa and σmax = 50 MPa. If the corrected endurance limit and the yield strength for the material are σe' = 100 MPa and σy = 300 MPa, respectively, the factor of safety is ________.


(2) is the correct answer.

Ques 34 GATE 2017 SET-2


A gear train shown in the figure consists of gears P, Q, R and S. Gear Q and gear R are mounted on the same shaft. All the gears are mounted on parallel shafts and the number of teeth of P, Q, R and S are 24, 45, 30 and 80, respectively. Gear P is rotating at 400 rpm. The speed (in rpm) of the gear S is ________.


(80) is the correct answer.

Ques 35 GATE 2017 SET-2


A helical compression spring made of a wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wire is 24 MPa. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, the maximum shear stress (in MPa) induced in the cross-section of the wire is ________.


(6) is the correct answer.

Ques 36 GATE 2017 SET-2


A steel plate, connected to a fixed channel using three identical bolts A, B and C, carries a load of 6 kN as shown in the figure. Considering the effect of direct load and moment, the magnitude of resultant shear force (in kN) on bolt C is

A

13

B

15

C

17

D

30


(c) is the correct answer.

Ques 37 GATE 2017 SET-2


A single-plate clutch has a friction disc with inner and outer radii of 20 mm and 40 mm, respectively. The friction lining in the disc is made in such a way that the coefficient of friction μ varies radially as μ = 0.01r, where r is in mm. The clutch needs to transmit a friction torque of 18.85 kN.mm. As per uniform pressure theory, the pressure (in MPa) on the disc is ________.


(0.5) is the correct answer.

Ques 38 GATE 2017 SET-2


The principal stresses at a point in a critical section of a machine component are σ1 = 60 MPa, σ2 = 5 MPa and σ3 = -40 MPa. For the material of the component, the tensile yield strength is σy = 200 MPa. According to the maximum shear stress theory, the factor of safety is

A

1.67

B

2.00

C

3.60

D

4.00


(b) is the correct answer.

Ques 39 GATE 2017 SET-2


Which one of the following statements is TRUE for the ultrasonic machining (USM) process?

A

In USM, the tool vibrates at subsonic frequency.

B

USM does not employ magnetostrictive transducer.

C

USM is an excellent process for machining ductile materials.

D

USM often uses a slurry comprising abrasive-particles and water.


(d) is the correct answer.

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