1
GATE CE 1996
Subjective
+2
-0
Using Laplace transform, solve the initial value problem $$9{y^{11}} - 6{y^1} + y = 0$$
$$y\left( 0 \right) = 3$$ and $${y^1}\left( 0 \right) = 1,$$ where prime denotes derivative with respect to $$t.$$
2
GATE CE 1996
MCQ (Single Correct Answer)
+2
-0.6
Shear stress in the Newtonian fluid is proportional to
A
pressure
B
strain
C
strain rate
D
the inverse of the viscosity
3
GATE CE 1996
MCQ (Single Correct Answer)
+1
-0.3
If, for a fluid in motion, pressure at a point is same in all directions then the fluid is
A
a real fluid
B
a Newtonian fluid
C
an ideal fluid
D
a non-Newtonian fluid
4
GATE CE 1996
MCQ (Single Correct Answer)
+2
-0.6
A liquid of density $$\mathrm\rho$$ and dynamic viscosity $$\mathrm\mu$$ flows steadily down an inclined plane in a thin sheet of constant thickness t. Neglecting air friction the shear stress on the bottom surface due to the liquid flow is (where θ is the angle, the plane makes with horizontal)
A
$$\mathrm\rho\;\mathrm g\;\mathrm t\;\sin\left(\mathrm\theta\right)$$
B
$$\mathrm\rho\;\mathrm g\;\mathrm t\;\cos\left(\mathrm\theta\right)$$
C
$$\mathrm\mu\sqrt{\mathrm g/\mathrm t}$$
D
$$\mathrm{ρg}$$
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