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GATE 2020: TOPPERS QUIZ 18 (App update required to attempt this test)

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Question 1

Given the atomic weight of Fe is 56 and that of C is 12, the weight percentage of carbon in cementite (Fe₃C) is ________

Question 2

A round billet made of brass is to be extruded (extrusion constant = 250 MPa) at 700 °C. The billet diameter is 100 mm and the diameter after the extrusion is 50 mm. The extrusion force is ____(in MN)

Question 3

In a steam power plant, the steam flows steadily through a 0.15 m diameter adiabatic pipeline from the boiler to the turbine. The end conditions of boiler are:
Pressure( p) =5 MPa
temperature (t) =350 ºC
Enthalpy (h) =3100 kJ/kg
Volume (

) = 0.08 m³/kg
The turbine end conditions are:
Pressure (p) = 4 MPa
Temperature(t) = 330 ºC
Enthalpy (h)=3000 kJ/kg
Volume(

) = 0.09 m³/kg.
If the work output by turbine is 50 kJ/kg, the steam flow rate (in kg/s) is ____.(Assume no change in datum head)

Question 4

A bar has to carry a load of 100 kN in the longitudinal direction. Length and width of the bar are 1 m and 200 mm respectively. There are two holes of 10 mm diameter each in the bar as shown in figure. What will be the minimum thickness of the bar (in mm) for working stress of 80 MPa.

Question 5

A cantilever beam carries the anti-symmetric load shown, where w_o is the peak intensity of the distributed load. Qualitatively, the correct bending moment diagram for this beam is
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Question 6

A hollow cylindrical steel tube of 38 mm diameter(external) and 2.5 mm thick is used as a column of 2.3 m long with both and fixed. The slenderness ratio is

Question 7

A paddle wheel is rotated inside a sealed container containing 20kg of air. If the applied torque on paddle wheel is 80 Nm and is rotated at 120rpm for 3 minutes. The temperature rise of air is ________ ℃

Question 8

A square channel of side 25mm and length 2.6m carries water at a velocity of 4m/sec. The mean temperature of water along length of channel is 32 ºC while inner channel surface temperature is 75 ºC. Calculate heat transfer coefficient from channel wall to water, Use correlation: Nu= 0.025

The thermophysical properties of water at 32 ºC: ƿ= 9957kg/

, k= 0.6175W/m ºC, 𝝼=0.815×

, Pr= 5.42

Question 9

A thermodynamic cycle is as shown in the T-S diagram as shown below.

The efficiency of the cycle in percentage is ________

Question 10

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

Question 11

A fluid flow is represented by the velocity field,

. The rotational component (ω_z) and rate of shear strain (γ_xy) respectively are________.

Question 12

A 'm' kg disturbing mass is attached to a rotating shaft in a plane A and it is to be balanced by two different masses m₁ and m₂ lying in different planes B and C at a certain distance as shown in figure.

If M = 5 kg then for the system to be dynamically balanced, the masses m₁ and m₂ respectively are

Question 13

In a spot welding process, a current of 40,000 amperes is released for 0.015 sec. The effective resistance of joint is 120 micro ohm. The joint can be considered as a cylinder of 6 mm diameter and 3mm height . The heat required for the melting of material is 10 J/_mm³. Calculate the heat transferred to environment (in kcalories) from the joint where 4.184 joules = 1 calories

Question 14

In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.

Question 15

In a particular electric arc welding, 5mm thick steel plate requires 40A current, what should be the current requirement for welding 10 mm plate thickness

Question 16

Water is heated from 50°C to 80°C in a counter flow heat exchanger by a hot fluid entering at 170°C. Effectiveness of the heat exchanger is 0.75 and and mass flow rate of water is 0.06 kg/s. Find the maximum possible heat that can transferred ideally from hot fluid to water in KW.

Question 17

A 20° full depth involute Spur pinion of 3 mm module has 20 teeth. Given that the Lewis form factor is 0.32 and the velocity factor of 1.5, the minimum allowable stress for the gear material is 180 MPa. Also, the maximum torque transmitted is 20% more than the rated torque capacity. Then the total force (in kN) exerted by a tooth of the pinion on the tooth of a mating gear is _________.
(Take the face width as 30 mm).

Question 18

A column of square section 40 mm × 40 mm, fixed to the ground carries an eccentric load of P Newton as shown in the figure.

If the stresses developed along the edge CD and AB is –1.2 N/mm² and –0.8 N/mm² respectively.
The eccentricity (e) is ______ mm.

Question 19

The thickness of a strip is reduced from 5mm to 4 mm using 400mm diameter rolls rotating at 200 rpm. The velocity of the strip (in m/sec) at the neutral point is __________

Question 20

The ram has to support a weight of 35 kN. Water enters into the accumulator at a pressure of 20kN/m², if the length of the ram is 1.5m Find the Volume of the accumulator.

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