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GATE ME 2019: Topper's Quiz-19 (App update required to attempt this test)

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Question 1

The process of reheating the martensitic steel to reduce its brittleness without any significant loss in its hardness is

Question 2

What is the maximum load (W) which a force P equal to 8 kN will hold up, if the coefficient of friction at C is 0.3 in the arrangement shown in Fig. Neglect other friction and weight of the member.

Question 3

Water (density =1000 kg/m3) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of 1 kg/s. If the pressure drop across the pipe is 100 kPa, the minimum power required to pump the water across the pipe, in watts, is _______

Question 4

A metallic rod (k=32 W/m°C), 10 mm in diameter and 80 mm long, with an insulated end is to be used as spine. It is exposed to surrounding with a temperature of 80°C and a heat transfer coefficient 55 W/m2°C. The temperature at the base of fin is 100°C. the fin efficiency will be

Question 5

If in any step of simplex method, replacement ratio values are either negative or infinite, then the solution will be

Question 6

In a slab rolling operation, the maximum thickness reduction (∇hmax) is given by ∇hmax2R, where R is the radius of the roll and µ is the coefficient of friction between the roll and the sheet. If μ = 0.1, the maximum angle subtended by the deformation zone at the centre of the roll (bite angle in degrees) is_____

Question 7

A plain milling operation is done such that the depth of cut is 3.5 mm and the cutter diameter is 214 mm and the cutter is rotating at a rate of 165 rpm. The feed rate is 650 mm/min. the number of tooth on the cutter is 36. Find the feed rate (in mm /tooth)_______.

Question 8

A compound bar made up of strips of materials 1 and materials 2 having 100mm2 each. The stress in material 1 is 20MPa due to applied load of 6kN. The value of E for material 1 is 100kN/mm2. The value of E for the material 2 is

Question 9

An unknown mass m is attached to one end of a spring of stiffness k having natural frequency of 6Hz. When 1 kg mass is attached with m the natural frequency of the system is lowered by 20%. Determine the value of unknown mass m and stiffness k (in kg and N/m respectively.)

Question 10

For one-ton refrigeration capacity of the plant, if the heat rejection ratio of condenser is 1.4, the COP of the plant is __________.

Question 11

Estimate the thermal efficiency & the rate of heat rejection for a heat engine receives heat at the rate of 1450 kJ/min and gives an output of 7.9 kW.

Question 12

A machine supported symmetrically on four springs has a mass of 80 kg. The mass of the reciprocating parts is 2.2 kg which move through a vertical stroke of 100 mm with simple harmonic motion. The machine rotates at 800 rpm. Assuming no damping, the combined stiffness of the springs, so that the force transmitted to the foundation is 1/20th of the impressed force will be _________ (N/mm).

Question 13

A rod of 50mm diameter and 1000mm length is hinged at both of its ends. The elastic modulus is 150 GPa and coefficient of linear expansion is 15×10-6/ . The temperature rise that wil be sufficient to buckle the rod will be ___________.

Question 14

A cutting operation is performed while doing an orthogonal cutting in a block work material. If the cutting velocity remains same but the depth of cut is increases from 24 mm to 96 mm. if the temperature at depth of cut of 24 mm is 120o C at the tool rake surface. Then find the temperature at the rake surface when the depth of cut is 96 mm.
HINT: relation between temperature and depth of cut can be expressed as 
 
where Vc is the cutting velocity and to depth of cut. θ is in degree celcius

Question 15

In a spring-mass system, the mass is 0.1 kg and the stiffness of the spring is 1 kN/m. By introducing a damper, the frequency of oscillation is found to be 90% of the original value. What is the damping coefficient of the damper?

Question 16

What is the optimum length of time between orders in EOQ model with a total time horizon of one year?

Question 17

A metal plate 0.609 m high forms the vertical wall of an oven and is at a temperature of 1610C. Within the oven air is at a temperature of 930C. Assuming the natural convection conditions hold near the plate.
The properties of air at 400 K are
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The Rayleigh number will be

Question 18

Velocity (m/s) of a fluid flowing over a plate is varying as u=(3/2)y-(2)y2 where y (m) is measured perpendicular from the plate. Assuming coefficient of viscosity as 7.5 poise, the shear stress in N/m2 at a point 10 cm from the plate is

Question 19

The angular velocity of a flywheel is in radians. The equation that governors the rotation of a Engine flywheel is ω = 4t2 – t + 3. At 3 sec the angular acceleration of the flywheel will be_______.

Question 20

It is desired to make COP of Carnot refrigerator system operating between -30°C to 30°C equal to 2.5 by changing the temperature. The decrease in upper temperature is equal to increase in lower temperature, then determine the Magnitude of new temperature in °C.
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Jun 26ESE & GATE ME