1
GATE ME 1995
True or False
+1
-0
A differential equation of the form $${{dy} \over {dx}} = f\left( {x,y} \right)\,\,$$ is homogeneous if the function $$f(x,y)$$ depends only on the ratio $${y \over x}$$ (or) $${x \over y}$$
A
TRUE
B
FALSE
2
GATE ME 1995
MCQ (Single Correct Answer)
+2
-0.6
A spring scale indicates a tension $$T$$ in the right hand cable of the pulley system shown in figure below. Neglecting the mass of the pulleys and ignoring friction between the cable and pulley the mass $$m$$ is GATE ME 1995 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 50 English
A
$$2T/g$$
B
$$T\left( {1 + {c^{4\pi }}} \right)/g$$
C
$$4T/g$$
D
None of the above
3
GATE ME 1995
MCQ (Single Correct Answer)
+1
-0.3
A fluid is said to be Newtonian fluid when the shear stress is
A
directly proportional to the velocity gradient
B
inversely proportional to the velocity gradient
C
independent of the velocity gradient
D
none of the above
4
GATE ME 1995
MCQ (Single Correct Answer)
+2
-0.6
The velocity components in the $$x$$ and $$y$$ directions are given by $$u = \lambda x{y^3} - {x^2}y,$$ $$v = x{y^2} - {3 \over 4}{y^4}.$$ The value of $$\lambda $$ for a possible flow field involving an incompressible fluid is
A
$$ - {3 \over 4}$$
B
$$ - {4 \over 3}$$
C
$${4 \over 3}$$
D
$$3$$
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