Time Left - 45:00 mins

GATE 2020: TOPPERS QUIZ 19 (App update required to attempt this test)

Attempt now to get your rank among 774 students!

Question 1

A Jet of water of diameter 60 mm moving with a velocity of 50 m/s, strikes a curved fixed symmetrical plate at the centre. The force exerted by the Jet of water in the direction of Jet, if Jet is deflected through an angle of 120 ° at outlet of curved plate is ___.

Question 2

For a hollow shaft under pure torsion, the maximum permissible value of torque is 3000Nm and its outer diameter is 50mm. Then, the value of ‘k’ (ration of inner diameter to outer diameter) will be? The allowable shear stress is 80 GPa

Question 3

Consider a 15 kW electric heating system over which air flows at a rate of 150 m³/min. If the entry temperature of air is 17 °C and 200 J/sec heat is lost before air enters the house after heating, then the temperature of air at the entry of house is ____ °C.
[Assume pressure to remain constant at 100 kPa]

Question 4

A spring having properties: G = 79.34 GPa, τ = 0.69 GPa, C = 6; is used for punching machine. The compression spring has to support 4 kN load & the diameter of wire is 13mm the number of turns in coil if the deflection under the load is 50mm

Question 5

A sphere of mass 5.5 kg and initially at a temperature of 290 K is suddenly emerged in a liquid of 15 K and convective heat transfer coefficient is 58 W/m²K. Estimate the time(in minutes) required to cool the sphere to 95K and the given properties are
ρ = 2700kg/m³, C= 900J/kg and k=205W/m K r=4.5 mm

Question 6

A 20° full depth involute system have a pinion of diameter 300 mm and number of teeth on pinion is 60. If the length of line of action is 20 mm, then the contact ratio is _______.

Question 7

A heat pump absorbs 10kW of heat from outside environment at 250 K while absorbing 15 kW of work. It delivers the heat to a room that must be kept warm at 300K. The coefficient of Performance (COP) of the heat pump is _________.

Question 8

A link made of ductile material is subjected to bending stresses that varies from 200 MPa (Tensile) to 100 MPa (Compressive). If σ_y = 0.55 σut and factor of safety is 2 then what is the minimum ultimate tensile strength (in MPa) using Soderberg’s equation? [Assume endurance limit, σ_e = 0.5 σ_ut ]

Question 9

A square plate of 1000 Watt electric heater 15 cm × 15 cm is inserted between two slabs. Slab A is 2 cm thick (k = 50 W/m-K) and slab B is 1 cm thick (k = 0.2 W/m-K). The outside heat transfer coefficients on side A and side B are 200 W/m²-K and 50 W/m²-K respectively. The temperature of surrounding air is 30 °C. The maximum temperature in the system is ___________ °C.

Question 10

A single stage impulse turbine with a diameter of 100 cm runs at 3000 rpm. If the inlet velocity of steam is 360 m/s then the blade speed ratio is ____.

Question 11

A Jet of water of diameter 50mm with velocity of 10m/s strikes a hinged plate of weight 500N as shown in the figure. If the distance x is 0.75 of total plate length, then the angle the plate turns when the jet impinges on it is (in degrees)

Question 12

What will be the tensile yield strength if the factor of safety is taken as 2. The values of principle stresses σ₁ = 35 MPa andσ₂ = -115 MPa were calculated from the Mohr’s circle. Use Maximum distortion energy theory.

Question 13

In a cam-follower mechanism, the follower moves with simple harmonic motion. The cam lift during 90

of cam rotation is 50 mm and the next 45

of cam rotation there is a dwell and further next 60

of cam rotation follower returns to its original position and finally dwell during the rest of the rotation of cam. The cam rotates at a uniform speed of 400 rpm. The maximum velocity and acceleration of follower during its ascent respectively are

Question 14

An engine is tested by means of water brake at 1500 rpm. The measured torque of engine is 12000 Nm and water consumption of brake is 0.3 m³/s, its inlet temperature is 18

. Assume that the whole of engine power is transformed into heat absorbed by cooling water. The water temperature at exit (in

Question 15

It is required to design a Hydrodynamic journal bearing for a bearing pressure of 1.7 N/mm². The load carried by the bearing is 8330 N. If the length of the journal is 70mm what is type of bearing?

Question 16

In a rolling process, sheet of 25 mm thickness is rolled to 20 mm thickness. Roll is of diameter 1200 mm and it rotates at 100 rpm. What is the roll strip contact length?

Question 17

A solid shaft of 250 mm diameter has the same cross-sectional area as the hollow shaft of same material with inside diameter of 200 mm. These two shafts are rotating with same angular velocity and stressed to the same intensity. The ratio of power transmitted in the two shaft will be

Question 18

An ideal gas undergoes a reversible process in which the pressure varies linearly with volume. The conditions at the start (subscript 1) and at the end (subscript 2) of the process with usual notation are: p₁ = 100 kPa, V₁ = 0.2 m³ and p₂ = 200 kPa, V2 = 0.1 m³ and the gas constant, R = 0.275 kJ/kg-K. The magnitude of the work required for the process (in kJ) is ________

Question 19

The two slabs of isolators 1 and 2 are in series and are kept between a 20 kg solid body and the floor. The isolator 1 has a stiffness of 2000 N/m and a viscous damping coefficient of 80 N-sec/m. the isolator 2 has a stiffness of 5000 N/m and a viscous damping coefficient of 200 N-sec/m. The damped natural frequency (in rad/s) of the system in vertical direction is (neglect the mass of isolators)

Question 20

A car of mass 1000 kg is moving down the hill at a slope of 1: 4 at 108 km/hr. The braking torque(in Nm) to be applied to stop the vehicle in a distance of 100 m, is _______ . Diameter of tyre is 0.5m (Neglect all the frictional energy except for the brake)

774 attempts
4 upvotes
7 comments

Tags :

ESE & GATE ME General

Feb 25ESE & GATE ME