1
GATE PI 2016
MCQ (Single Correct Answer)
+1
-0.3
To solve the equation $$2sinx=x$$ by Newton- Raphson method, the initial guess was chosen to be $$x=2.0.$$ Consider $$x$$ in radian only. The value of $$x$$ (in radian) obtained after one iteration will be closest to
A
$$-8.101$$
B
$$1.901$$
C
$$2.099$$
D
$$12.101$$
2
GATE PI 2016
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( z \right) = {{{z^2} + 1} \over {{z^2} + 4}}$$ is singular at
A
$$z = \pm 2$$
B
$$z = \pm 1$$
C
$$z = \pm i$$
D
$$z = \pm 2i$$
3
GATE PI 2016
Numerical
+2
-0
In abrasive water jet machining, the velocity of water at the exit of the orifice, before mixing with abrasives, is 800 m/s. The mass flow rate of water is 3.4 kg/min. The abrasives are added to the water jet at a rate of 0.6 kg/min with negligible velocity. Assume that at the end of the focusing tube, abrasive particles and water come out with equal velocity. Consider that there is no air in the abrasive water jet. Assuming conservation of momentum, the velocity (in m/s) of the abrasive water jet at the end of the focusing tube is _________.
4
GATE PI 2016
Numerical
+2
-0
A $$2m \times 2m$$ square operating in a vertical wall is covered with a metalic plate of the same dimensions as shown in the figure below. Consider the acceleration due to gravity to be $$10.0\,\,m/{s^2}.$$ The force (in kN) exerted by water on the plate is _____________.
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