GATE ME 1999
View Questions

## GATE ME

Value of the function $$\mathop {Lim}\limits_{x \to a} \,{\left( {x - a} \right)^{x - a}}$$ is _______.
View Question
Four arbitrary points $$\,\,\,\left( {{x_1},{y_1}} \right),\,\,\left( {{x_2},{y_2}} \right),\,\,\left( {{x_3},{y_3}} \ri View Question The equation$$\,\,\,{{{d^2}u} \over {d{x^2}}} + \left( {{x^2} + 4x} \right){{dy} \over {dx}} + y = {x^8} - 8\,\,{u \ove
View Question
Laplace transform of $${\left( {a + bt} \right)^2}$$ where $$'a'$$ and $$'b'$$ are constants is given by:
View Question
A shown in Figure, a person A is standing at he centre of a rotating platform facing person B who is riding a bicycle, h
View Question
If $$'P'$$ is the gauge pressure within a spherical droplet, then gauge pressure within a bubble of the same fluid and o
View Question
Kinematic viscosity of air at $${20^0}C$$ is given to be $$1.6 \times {10^{ - 5}}\,\,\,{m^2}s.$$ Its kinematic viscosity
View Question
Water flows through a vertical contraction from a pipe of diameter $$d$$ to another of diameter $$d/2$$ (see Figure). T
View Question
It is proposed to coat a $$1mm$$ diameter wire with enamel paint $$\left( {k\,\,\,\, = 0.1W/m} \right.$$ - $$\left. K \r View Question Two fluids,$$A$$and$$B$$exchange heat in a counter-current heat exchanger. Fluid$$A$$enters at$${420^ \circ }C$$View Question In computing Wilson’s economic lot size for an item, by mistake the demand rate estimate used was$$40\% $$higher than View Question At a production machine, parts arrive according to a Poisson process at the rate of$$0.35$$parts per minute. Processin View Question Which of the following materials requires the largest shrinkage allowance, while making a pattern for casting? View Question In a particular mold design, the down sprue has an area of Cross section of$$6.45\,\,c{m^2}$$where the pouring basin l View Question For butt welding$$40mm$$thick steel plates, when the expected quantity of such jobs is$$5000$$per month over a perio View Question In butt welding operation on plates, the heat input necessary is given by$$Q = 8\,K\,{T_c}\,t\,\,\,\left[ {0.2 + {{Vb
View Question
What is the approximate $$\%$$ change in the life, $$t,$$ of the tool with zero rake angle used in orthogonal cutting w
View Question
In an orthogonal cutting experiment with a tool of rake angle $$7$$$$deg$$, the chip thickness was found to be $$2.5mm$$
View Question
The lives of two tools $$A$$ &amp; $$B$$, governed by the equation $$V{T^{0.125}} = 2.5$$ and $$V{T^{0.25}} = 7$$ respec
View Question
Identify the stress strain in the flange portion of a partially drawn cylindrical cup when deep drawing without a blank
View Question
For the planar mechanism shown in Fig. select the most appropriate choice for the motion of link 2 when link 4 is moved
View Question
For the audio Cassette mechanism shown in Figure given below where is the instantaneous center of rotation (point) of th
View Question
A planetary gear train is shown in Figure. Internal gear (1) has 104 teeth and is held fixed and planet gear (2) has 96
View Question
Consider the system of two wagons shown in Figure. The natural frequencies of this system are
View Question
An isolated thermodynamic system executes a process. Choose the correct statement $$(s)$$ from the following:
View Question
A steel ball of mass $$1$$ $$kg$$ and specific heat $$0.4$$ $$kJ/kg$$ is at temperature of $${60^ \circ }C.$$ It is drop
View Question
An adiabatic steam turbine receives dry saturated steam at $$1.0\,\,\,MN/{m^2}$$ and discharges it 0.1\,\,\,MN/{m^2}.\$
View Question
EXAM MAP
Joint Entrance Examination