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GATE ME 2019: Topper's Quiz-13 (App update required to attempt this test)

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Question 1

An undesirable phenomenon called the aspiration effect occurs in a casting process, when;

Question 2

The following data relate to an orthogonal turning process: Chip thickness = 0.62 mm Feed = 0.2 mm/rev The chip reduction coefficient is _____.

Question 3

A cylindrical shaft has an ultimate strength (σ_ut) of 900 MPa. The shaft is subjected to endurance stress of 360 MPa and alternating stress of 500 MPa. Calculate the shaft life ____ (in thousand)

Question 4

The ratio of Modified endurance limit to endurance limit if the size factor (Ksz), surface finish factor (Ksur) and Load factor (

), take the values of 0.75, 0.8 and 1 respectively is (Neglect all other remaining miscellaneous factors)

Question 5

The number of instantaneous centre of a mechanism is 28. What will be the degree of freedom of the mechanism if one of the link is fixed and assuming there is 5 lower pair and 2 higher pair.

Question 6

An ideal gas flows steadily in an insulated pipe as shown in fig. the temperature and pressure of both section is shown in table. The flow of gas is
Take C_P = 1.005 KJ/kgK, R = 0.287 KJ/kgK

Question 7

The entropy of a gas at 1 bar and 298 K is 0. Find entropy change of the gas at 20 bar and 600K. The specific heat of the gas varies linearly with temperature.

C_p= (0.88+0.00029T) kJ/kgK and C_v = (0.57+0.00029T) kJ/kgK.

Question 8

A simply supported circular beam of diameter 30 mm uniformly loaded over the length shows the maximum deflection at centre as 7.5 mm. The beam is now replaced with another circular beam of diameter 40mm. The deflection in the current beam is

Question 9

A brass bar having a cross section of 15 cm² is subjected to an axial force as shown in the figure. The stress (only magnitude) in the section BC is given is_____MPa.

Question 10

A compression spring of wire diameter 5mm having 8 active coils. The mean coil diameter and free length are given as 20mm and 50mm respectively. To increase the stiffness of the spring by 8 times, the mean coil diameter of the spring is

Question 11

The sales of car in a showroom in first, second and third months are 70, 68 and 82 respectively. With the smoothing constant of 0.4, Find the forecast for the next month.

Question 12

The value of head loss due to friction using Chezy formula with constant C= 60 for a fluid, flowing through a 30 cm diameter and 70 m long pipe. Velocity of fluid inside the pipe is 5 m/s.

Question 13

Consider the following statements
1) Streamlines are the time averaged of the direction of the fluid motion throughout the flow field.
2) Partial derivative of the stream function with respect to any direction gives the velocity component in that direction.
3) Streakline and pathline are flow patterns that have some age and thus a time history associated with them.
4) Pathlines are the time-exposed flow path of an individual particle over some time period.
which combination of the above statements is true?

Question 14

A beam uniformly loaded is simply supported at ends. The deflection at the centre of the beam is 7mm. If both of the simple supports are replaced by fixed supports the new deflection of the resultant beam is

Question 15

The ratio of power transmission capacities of a solid and hollow circular shaft when they are rotating at the same rpm. Given that material, weight and length are same for both the shafts and k is the ratio of inner to outer diameter of the hollow shaft.

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