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GATE 2020: TOPPERS QUIZ 17 (App update required to attempt this test)

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Question 1

Water flows through a pipe of diameter 0.5 m. the value of velocity V as shown in 2 m/s. Then h is __________m.

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Question 2

Using Clausius-Claperyon’s equation, estimate the enthalpy of vapourisation. The following data is given: At 200 °C: v_g = 0.1274 m^₃/kg, v_f= 0.001157 m³/kg,

=32 k-Pa/K.

Question 3

The probability distribution of weekly sale of a certain item is as follow:

The cost of carrying inventory is Rs. 30 per unit per week and the cost of unit shortage is Rs. 70 per week. The optimum stock level which minimized the total expected cost is _________ units.

Question 4

A cold storage is to be maintained at –5 °C while the surrounding are at 35 °C. The heat leakage from the surroundings in to the cold storage is estimated to be 29 kW. The actual COP of the refrigeration plant used is one-third that of an ideal plant working between the same temperatures. The power required is _____________kW .

Question 5

The absorbtivity, irradiation and emissive power of black body of an opaque body are 0.4, 6 and 5W/m² respectively. Find the radiosity for the surface(W/m²)?

Question 6

A mixture is prepared using 3 kg of O₂ and 5 kg of N₂ at the same temperature. Assume the initial pressure of each constituent of mixture is same. The total increase in entropy (in KJ/kgK) is

Question 7

What will be the deflection at the location 'a' where the load W acts,
W = 45kN
L = 3m, a = 1m,
EI = 4.16×10⁵ N-m²

Question 8

A stream of water having bulk modulus of 2060 MPa is flowing at a speed of 2000m/s. The Mach number of the flowing stream will be

Question 9

A body of 12 kg supported on a spring . If the ratio of dampimg constant and critical damping constant is 3.26

. Find the ratio of initial amplitude to amplitude after 6 cycles .

Question 10

A loaded flat plate is having an elliptical hole

in the middle, as shown in figure. The stress concentration factor at point x or y is ______.

Question 11

A block oscillates on spring having a mass 2 kg and having stiffness 2000 N/m. the mass of the block is 10 kg. and consider the inertia of the spring as well . find the natural frequency of the given system (in rad/s) ___________.

Question 12

Water flows through a 0.6 m diameter, 1000 m long pipe from a 30 m overhead tank to a village. Find the discharge (in liters) at the village (at ground level), assuming a Fanning friction coefficient f = 0.04 and ignoring minor losses due to bends etc.

Question 13

A shaft has an attached disc at the center of its length.The center of gravity of the disc is located at a distance of 3mm from shaft axis.The shaft has angular frequency of vibration of 15rad/s, when allowed to vibrate in its natural mode.When it rotates at 350 rpm, deflection of centre of gravity of disc from initial shaft axis will be__________

Question 14

A 3 stage refrigerator compressor with perfect intercooling is operated with overall pressure ratio of 8. If the intermediate pressures are 3 bar and 1.5 bar. Find the minimum and maximum pressure of the compression in bar.

Question 15

A simply supported beam has the square cross-section having moment of inertia 1728 mm⁴. It carries a uniformly distributed load of intensity 10 N/m. Considering only the top fibre of beam, the correct representation of the longitudinal variation of the bending stress is (consider sagging B.M positive & compressive bending stress positive)
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Question 16

In an ideal Brayton cycle with regeneration, air is compressed from 1 bar and 300 K to 4 bar and 450 K, is heated to 750 K in the regenerator, and then further heated to 1200 K before entering the turbine. Under cold-air standard conditions, the effectiveness of the regenerator (in percentage) is _____ [Take $Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\11_IC-Engine-PPMS_BLok1_files\image002.png$ = 1.3 for gas]

Question 17

In orthogonal cutting of an engineering alloy, following data has been observed: rake angle = 10^o , chip thickness ratio = 0.40, uncut chip thickness = 0.51 mm, width of cut = 2.5 mm, yield shear stress of work material = 400 N/mm², mean friction co-efficient on tool face = 0.The value of radial force will be (in N)

Question 18

By what process, maximum hardness is obtained for a component made of steel ?

Question 19

The value of freezing ratio (upto two places of decimal), for a steel casting of dimensions 60×40×10 cm which is produced by using a cylindrical side riser of 24 cm diameter, will be

Question 20

In iron-carbon diagram

, represents eutectic reaction which takes place at temperature _________K and carbon __________% respectively.

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