GATE 2020: TOPPERS QUIZ 14 (App update required to attempt this test)
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Question 1
A siphon consisting of a tube is used to drain water from a tank. The outlet is open to the air and tube has a diameter of 50mm. Neglecting friction, calculate the discharge.
Question 2
Two castings, a cube and a slab of the same material solidify under identical mould conditions. The volumes of the castings are equal but the slab dimensions are in the ratio of 1:2:4. Find the ratio of the solidification time of the cube to that of the slab.
Question 3
A full journal bearing with a journal of 100 mm diameter and a bearing of 150 mm length is subjected to 5000 N at 500 rpm. The viscosity of oil is 20 × 10–3 kg/m-sec. If radial clearance is 0.04 mm, then the Sommerfeld number is _________.
Question 4
The five highest peaks of surface roughness is 54,45 ,52,48,50 and five deepest valleys for surface roughness is 14, 18, 24, 20,19 (values are in mm). If the vertical magnification(V.M.) was 5000 and horizontal magnification (H.M.) was 100 then Calculate Rz value of the profile.
Question 5
An ideal gas turbine cycle with two stages of compression and two stages of expansion and perfect intercooling and reheating has an overall pressure ratio of 9. Air enters each stage of compressor at 300K and compressed isentropically & each stage of turbine at 1300K and expands isentropically if a perfect regenerator is installed at the end of 2nd turbine to extract the heat leaving the turbine then what will be the Back Work ratio of this cycle ____.
Question 6
To a closed system 130 kJ of work is supplied. If the initial volume is 0.6 m3 and pressure of the system changes as p = 8 – 4V, where p is in bar and V is in m3, what will be the final volume and pressure of the system?
Question 7
Annual demand of a product is 200000 units and the ordering cost is 5000 per order. Considering the basic EOQ model, the EOQ=10000 units. Find the annual inventory holding cost in millions.
Question 8
A rectangular column of width 200mm and of thickness 150mm carries a point load of 240kN at an eccentricity of e as shown in the figure. If the minimum stress is zero, find the maximum stress on the section
Question 9
The tension in the string that is whirled in a vertical circle at a constant speed, will be maximum when stone is
Question 10
For the simply supported beam as shown in figure. The required section modulus if the allowable bending stress is is ___ cm3.
Question 11
An AC system is designed under the following condition:
Outdoor condition = 32, 80% RH, humidity ratio = 0.025,
The above required condition is achieved by cooling and humidification. Amount of water vapour removed (kg/s) is
Question 12
A device is designed to cool 0.14 kg/s of hot liquid of specific heat 3 KJ/kg K at 100 using a parallel flow arrangement. The cooling water of specific heat 4.18 kJ/kg K is available for cooling purpose at the rate of 0.54 kg/s at a temperature of 10. The effectiveness of heat exchanger is (take overall heat transfer coefficient is 1360 W/m2K and the surface area of the heat exchanger is 0.35 m2)
Question 13
The properties of a closed system change following the relation between pressure and volume as pV = 3.0 where p is in bar V is in m3. Calculate the work done when the pressure increases from 1.5 bar to 8.5 bar.
Question 14
In a flow of an ideal fluid, for the two given points at the same horizontal level, the difference in the pressure is 100 times the specific weight of the fluid. If the ratio of velocities at the two point is and lower velocity is 10 m/s, then will be ____. [Assume no losses]
Question 15
The efficiency of an otto cycle is 60%. Compression begins at 1 bar and 27 0C. The maximum pressure is 81 bar. The maximum temperature of the cycle is ______________ 0C.
, 80% RH, humidity ratio = 0.025,
, 70% RH, humidity ratio = 0.0125
using a parallel flow arrangement. The cooling water of specific heat 4.18 kJ/kg K is available for cooling purpose at the rate of 0.54 kg/s at a temperature of 10
. The effectiveness of heat exchanger is (take overall heat transfer coefficient is 1360 W/m2K and the surface area of the heat exchanger is 0.35 m2) 
and lower velocity is 10 m/s, then 
will be ____. 
