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GATE ME 2019: Topper's Quiz-16 (App update required to attempt this test)

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Question 1

Mild steel is an engineering material which is used widely in several engineering application and in many construction work. What the shape of the crystal structure of mild steel

Question 2

The static deflection of a spring under gravity, when a mass of 1 kg is suspended from it, is 1 mm. Assume the acceleration due to gravity g =10 m/s². The natural frequency of this spring-mass system (in rad/s) is_____

Question 3

Consider a fully developed steady laminar flow of an incompressible fluid with viscosity μ through a circular pipe of radius R. Given that the velocity at a radial location of R/2 from the centerline of the pipe is U₁, the shear stress at the wall is KμU₁/r where K is___

Question 4

The hydrodynamic boundary layer thickness of a fluid over flat plate is 1.2mm, find the thermal boundary layer thickness for the fluid if the fluid properties are (μ=8.5×

Pa-sec, Cp= 4.3kJ/kgK, k= 0.6W/mK)

Question 5

Which of the following statement is correct-?

Question 6

The specific dynamic capacity of a SKF self-aligning ball bearing number 1310 is 35 kN, which is running at 1800 rpm. If the equivalent radial load actually applied to the bearing is 45 kN, then the average life is ___ hours.

Question 7

The standard deviation of linear dimensions P and Q are 3 mm and 4 mm, respectively. When assembled, the standard deviation (in mm) of the resulting linear dimension (P+Q) is ________

Question 8

A body is subjected to a state of plain stress and plain strain. What is the condition required for plain strain

Question 9

For a gear design involute teeth profile is considered as a best design for optimum running condition of mating gears. Can you figure out the involute profile is a profile made by how many curve?

Question 10

For a steady flow process in a turbine from state 1 to state 2, h₁= 450 kJ/kg, h₂= 150 kJ/kg and entropy changes from s₁= 1.2 kJ/kgK to s₂= 0.8 kJ/kgK. Ambient temperature is 300 K. Find the change in availability (kJ) _________.

Question 11

A band brake consists of a lever attached to one end of the band. The other end of the band is fixed to the ground. The wheel has a radius of 200 mm and the wrap angle of the band is 270 °. The braking force applied to the lever is limited to 100N, and the coefficient of friction between the band and the wheel is 0.5. No other information is given.
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The maximum tension that can be generated in the band during braking is

Question 12

Three pipes each of the diameter d have the same length L and friction factor f are connected in parallel. Consider a pipe of diameter D, length L and friction factor f which will carry the same discharge for the same head loss.The ratio of d/D is ____.

Question 13

The large vessel shown in the figure contains oil and water. A body is submerged at the interface of oil and water such that 45 percent of its volume is in oil while the rest is in water. The density of the body is ______kg/m³.
The specific gravity of oil is 0.7 and density of water is 1000 kg/m³.
Acceleration due to gravity g = 10 m/s².

Question 14

A single block brake with a 300 mm diameter brake down in figure is used to absorb a torque of 75 Nm. The coefficient of friction between the drum and the lining is 0.35 The pressure on the blocks is uniform. Calculate the force P

Question 15

Determine the surface temperature of the brass plates leaving the oven having thermal diffusivity and thermal conductivity of 33.9×

/s and 110W/mK. The initial temperature is 25℃ and the surrounding temperature is 700℃. Take, h= 90W/

K, Length of brass plates =0.015m, time= 600sec

Question 16

A company places orders for supply of two items A and B. The order cost for each of the items is Rs. 300/order. The inventory carrying cost is 18% of the unit price per year per unit. The unit prices of the items are Rs. 40 and Rs. 50 respectively.
The annual demands are 10,000 and 20,000 respectively.

Find the economic order quantities and the minimum total cost

Question 17

A heat pump with refrigerant R22 is used for space heating between temperature limits of -20 °C and 25 °C. The heat required is 200 MJ/h. Assume specific heat of vapour at the time of discharge as 0.98 kJ/kg.K. Other relevant properties are given below. The enthalpy (in kJ/kg) of the refrigerant at isentropic compressor discharge is __________

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Question 18

The flow stress (in MPa) of a material is given by σ = 500 ε^0.1. Where ε is true strain.The Young's modulus of elasticity of the mater 4l is 200GPa. A block or thickness 100 mm made of this material is compressed to 95 mm thickness and then the load is removed. The final dimension of the block (in mm) is ________

Question 19

A piece of material is subjected to two mutual perpendicular tensile stresses.Strains in the two directions are in the ratio 3:4. If the value of Poisson’s ratio is 0.25 and greatest stress is 90 N/mm², then Volumetric strain is
[E=200 GPa]

Question 20

A precision instrument package (m = 1 kg) needs to be mounted on a surface vibrating at 60 Hz. It is desired that only 5% of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural frequency sig lesser than 60 Hz, so that the effect of damping may be ignored. The stiffness (in N/m) of the required mounting pad is

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