Time Left - 20:00 mins

GATE ME 2019: Topper's Quiz-8

Attempt now to get your rank among 825 students!

Question 1

A small ball of mass 1 kg moving with a velocity of 12 m/s undergoes a direct central impact with a stationary ball of mass 2 kg. The impact is perfectly elastic. The speed (in m/s) of 2 kg mass ball after the impact will be________

Question 2

In a developed laminar flow the average velocity is 9 m/s, the radius of pipe is 20 cm. What will be the velocity (m/s) at 15 cm radius?

Question 3

A metal piece of 60 cm length and cross section of an arc of circle of radius 10 cm with included angle 60 º is maintained at temperatures 125 ºC and 25 ºC at its both the ends respectively. The thermal conductivity of material varies as: k = 100 – 0.1t W/m deg
The heat flow rate through the metallic piece if the heat flow is unidirectional and length wise is?

Question 4

Amount (yield per unit) of proteins, fats and carbohydrates are given for four different types of food. A person wants to decide the food to fulfil his daily requirements of these constituents of the diet.

What is the LP model for the problem ?

Question 5

From the lists given below, choose the most appropriate set of heat treatment process and the corresponding process characteristics ______.

$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image324.png$

Question 6

The force in member AB is

$Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\10-RAC-Engg-Mechanics_BLok1_files\image041.jpg$

Question 7

For a laminar flow over a flat plate if free stream velocity of fluid is 10m/s. Boundary layer thickness near to wall is 10mm, determine wall shear stress. Take dynamic viscosity as 0.863 Poise. Velocity profile is given by

Question 8

A hollow cylinder of a material that has a thermal conductivity of 3.46 W/m-K ⁰C has an inner radius of 7.5 cm and an outer radius of 15 cm. The temperature of the inner surface is 150⁰C and the temperature profile is given by
$Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image066.png$
where r is in cm & log is Natural logarithmic function. then the heat transfer rate per unit length is _________ kW.

Question 9

For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below

The critical path for the project is

Question 10

A hydrodynamic journal bearing is subject to 2000 N load at a rotational speed of 2000 rpm. Both bearing bore diameter and length are 40 mm. If radial clearance is $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-1_files\image128.png$ and bearing is lubricated with an oil having viscosity 0.03 Pa.s, the Sommerfeld number of the bearing is ______

Question 11

In a steam power plant operating on the Rankine cycle, steam enters the turbine at 4MPa, 350 ºC and exits at a pressure of 15kPa. Then it enters the condenser and exits as saturated water. Next, a pump feeds back the water to the boiler. The adiabatic efficiency of the turbine is 90%. The thermodynamic states of water and steam are given in the table.

State	h(kJ/kg)		S(kJ/kgK)		V( /kg)
Steam(4MPa)	3092.5		6.5821		0.06645
Water( 15kPa)	h_f	h_g	s_f	s_g	v_f	v_g
	225.94	2599.1	0.7549	8.0085	0.001014	10.02

h is specific enthalpy, s is specific entropy and v the specific volume; subscripts f and g denote saturated liquid state and saturated vapour state.

The net work output (kJ kg^-1) of the cycle is

Question 12

Two shafts are connected by means of a flange coupling to transmit torque of 30 Nm. The flanges of coupling are fastened by four bolts of the same material at a radius of 30 mm. Allowable shear stress for the bolt material is 30 MPa. The minimum metric specification required for the bolt is______.

Question 13

Two streams of fluids of unit constant specific heat and unit mass flow rate exchange thermal energy in a heat exchanger. The inlet temperature of hot and coldfluid streams are 300 ⁰C and 30 ⁰C respectively. The effectiveness of the heat exchanger if the outlet temperature of both the fluid are equal

Question 14

Tolerance on the dimension ‘X’ in the two component assembly shown below
[All dimension are in mm]

Question 15

A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum permissible angle of twist in the shaft is $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2015-P2_files\image078.png$ . The inner diameter of the shaft is 0.7 times the outer diameter. The modulus of rigidity is 80 GPa. The outside diameter (in mm) of the shaft is _______

825 attempts
6 upvotes
7 comments

Tags :

ESE & GATE ME General

Jul 7ESE & GATE ME