1
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The volume tric flow rate (per unit depth) between two streamlines having stream functions $${\psi _1}$$ & $${\psi _2}$$ is
A
$$\left| {{\psi _1} + {\psi _2}} \right|$$
B
$${{\psi _1}{\psi _2}}$$
C
$${{\psi _1}/{\psi _2}}$$
D
$$\left| {{\psi _1} - {\psi _2}} \right|$$
2
GATE ME 2016 Set 2
Numerical
+2
-0
The large vessel shown in the figure contains oil and water. A body is submerged at the interface of oil and water such that $$45$$ percent of its volume is in oil while the rest is in water. The density of the body is _______________ $$kg/{m^3}.$$

The specific gravity of oil is $$0.7$$ and density of water is $$1000$$ $$kg/{m^3}.$$

Acceleration due to gravity $$g = 10\,m/{s^2}$$

GATE ME 2016 Set 2 Fluid Mechanics - Fluid Statics Question 8 English
Your input ____
3
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions $$2R \times L$$ at the bottom of an open tank as shown in the figure. The head of the plug has the shape of a semi-cylinder of radius $$R.$$ The tank is filled with a liquid of density $$\rho $$ up to the tip of the plug. The gravitational acceleration is $$g.$$ Neglect the effect of the atmospheric pressure. GATE ME 2016 Set 2 Fluid Mechanics - Fluid Statics Question 7 English

The force $$F$$ required to hold the plug in its position is

A
$$2\rho {R^2}gL\left( {1 - {\pi \over 4}} \right)$$
B
$$2\rho {R^2}gL\left( {1 + {\pi \over 4}} \right)$$
C
$$\pi {R^2}\rho gL$$
D
$${\pi \over 2}\rho {R^2}gL$$
4
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A hollow cylinder has length $$L,$$ inner radius $${{r_1}}$$, outer radius $${{r_2}}$$, and thermal conductivity $$k.$$ The thermal resistance of the cylinder for radial conduction is
A
$${{ln\left( {{r_2}/{r_1}} \right)} \over {2\pi kL}}$$
B
$${{ln\left( {{r_1}/{r_2}} \right)} \over {2\pi kL}}$$
C
$${{2\pi kL} \over {ln\left( {{r_2}/{r_1}} \right)}}$$
D
$${{2\pi kL} \over {ln\left( {{r_1}/{r_2}} \right)}}$$
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