A regression model is used to express a variable $$Y$$ as a function of another variable $$X.$$ This implies that

If $$'x'$$ is the distance measured from the leading edge of a flat plate, then laminar boundary layer thickness varies as

Flow separation in flow past a solid object is caused by

The properties of mercury at $$300K$$ are : density $$ = 13529kg/{m^3},$$ $${C_P} = 0.1393$$ $$kJ/kgK,$$ dynimic viscosity $$ = 0.1523\,\, \times \,\,{10^{ - 2}}\,\,N - s/{m^2}$$ and thermal conductivity $$=8.540$$ $$W/m$$-$$K$$. The Prandtl number of the mercury at $$300K$$ is

A copper tube of $$20$$ $$mm$$ outer diameter, $$1$$ $$mm$$ thickness and $$20$$ $$m$$ long (Thermal conducti-vity$$ = 400$$ $$W/mK$$) is carrying saturated steam at $${150^ \circ }C$$ (Convective $$HTC\,\, = \,\,150\,\,W/{m^2}K$$). The tube is exposed to an ambient temperature of $${27^ \circ }C.$$ The convective $$HTC$$ of air is $$5\,W/{m^2}K.$$ Glass wool is used for insulation (Thermal conductivity $$ = 0.075\,\,W/mK$$). If the thickness of the insulation used is $$5$$ $$mm$$ higher than the critical thickness of insulation, calculate the rate of heat lost by the steam and the rate of steam condensation in $$kg/hr$$ (The enthalpy of condensation of steam $$ = 2230\,\,kJ/kg$$)

The value of Biot number is very small (less than $$0.1$$), when

What is the value of the view factor for two inclined flat plates having common edge of equal width, and with an angle of $$20$$ degrees?

For the same inlet and outlet temperatures of hot and cold fluids, the Log mean temperature Difference $$(LMTD)$$ is

An item can be purchased for Rs.$$100.$$ The ordering cost is Rs.$$200$$ and the inventory carrying cost is $$10\% $$ of the item cost per annum. If the annual demand is 4000 units, the economic order quantity (in units) is

A project consists of three parallel paths with mean durations and variances of $$(10,4), (12,4)$$ and $$(12,9)$$ respectively. According to the standard $$PERT$$ assumptions, the distribution of the project duration is

The precedence relations and durations of jobs in a project are given below:
(a) Draw the activity-on-arc project network
(b) Determine all critical path(s) and their duration(s).
(c) What is the total float for jobs $$B$$ and $$D?$$

A regression model is used to express a variable $$Y$$ as a function of another variable $$X.$$ this implies that

Arrivals at a telephone booth are considered to be Poisson, with an average time of $$10$$ minutes between successive arrivals. The length of a phone call is distributed exponentially with mean $$3$$ minutes. The probability that an arrival does not have to wait before service is

A furniture manufacturer produces chairs and tables. The wood-working department is capable of producing $$200$$ chairs or $$100$$ tables or any proportionate combinations of these per week. The weekly demand for chairs and tables is limited to $$150$$ and $$80$$ units respectively. The profit from a chair is Rs.$$100$$ and that from a table is Rs.$$300.$$

$$(a)$$ Set up the problem as a Linear Program
$$(b)$$ Determine the optimum product mix for maximizing the profit.
$$(c)$$ What is the maximum profit?
$$(d)$$ If the profit of each table drops to Rs.200 per unit, what is the optimal mix and profit?

The supply at three sources is $$50, 40$$ and $$60$$ units respectively whilst the demand at the four destinations is $$20, 30, 10$$ and $$50$$ units. In solving this transportation problem

A static load is mounted at the center of a shaft rotating at uniform angular velocity. This shaft will be designed for

Large speed reductions (greater than $$20$$) in one stage of gear train are possible through

The minimum number of teeth on the pinion to operate without interference in standard full height involute teeth gear mechanism with $${20^ \circ }$$ pressure angle is

In blanking operation the clearance is provided on

The temperature of a carburizing flame in gas welding is _______ that of a neutral or an oxidizing flame.

Which of the following arc welding processes does not use consumable electrode

$$BUE$$ is formed while machining

A tube of $$32mm$$ outside diameter was turned on a lathe and the following data was obtained
Rake angle $$=35deg,$$
Feed rate $$=0.1mm/rev$$
Cutting force $$=2000N,$$
Cutting speed $$=15m/min$$
Length of continuous chip is one revolution $$=60mm$$

Feed force $$=800N.$$ Calculate the chip thickness, shear plane angle, velocity of chip along tool face and coefficient of friction.

A lead screw with half nuts in a lathe, free to rotate in both directions has

The hardness of a grinding wheel is determined by the

Trepanning is performed for

The time taken to drill a hole though a $$25$$ $$mm$$ thick plate with the drill rotating at $$300$$ $$rpm$$ and moving at a feed rate of $$0.25$$ $$mm$$/revolution is

Hot rolling of mild steel is carried out

Machining of complex shapes on $$CNC$$ machines requires

The primary purpose of a sprue in a casting mold is to

In centrifugal casting, the lighter impurities are

Ductility of material with work hardening

What is the speed of sound in Neon gas at a temperature of $$500$$ $$K$$ (Gas constant of Neon is $$0.4210$$ $$kJ/kg$$-$$K$$)?

A Carnot cycle is having an efficiency of $$0.75.$$ If the temperature of the high temperature reservoir is $${727^ \circ }C,$$ what is the temperature of low temperature reservoir?

The efficiency of superheat Rankine cycle is higher than that of simple Rankine cycle because

If there are $$'m'$$ physical quantities and $$'n'$$ fundamental dimensions in a particular process, the number of non-dimensional parameters is