1
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
A block of mass $$M$$ is related from point $$P$$ on a rough inclined plane with inclination angle $$\theta $$, shown in the figure below. The coefficient of friction is $$\mu $$. If $$\mu < \tan \theta $$, then the time taken by the block to reach anorher point $$Q$$ on the inclined plane, where $$PQ=S,$$ is GATE ME 2007 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 20 English
A
$$\sqrt {{{2s} \over {g\cos \theta \left( {\tan \theta - \mu } \right)}}} $$
B
$$\sqrt {{{2s} \over {g\cos \theta \left( {\tan \theta + \mu } \right)}}} $$
C
$$\sqrt {{{2s} \over {gsin\theta \left( {\tan \theta - \mu } \right)}}} $$
D
$$\sqrt {{{2s} \over {gsin\theta \left( {\tan \theta + \mu } \right)}}} $$
2
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
During inelastic collision of two particles, which one of the following is conserved?
A
Total linear momentum only
B
Total kinetic energy only
C
Both linear momentum and kinetic energy
D
Neither linear momentum nor kinetic energy
3
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider a steady incompressible flow through a channel as shown below. GATE ME 2007 Fluid Mechanics - Boundary Layer Question 3 English

The velocity profile is uniform with a value of $${u_0}$$ at the inlet section $$A$$. The velocity profile at section B down stream is

$$$u\left\{ {\matrix{ {{V_m}{y \over \delta },} & {0 \le y \le \delta } \cr {{V_m},} & {\delta \le y \le H - \delta } \cr {{V_m}{{H - y} \over \delta },} & {H - \delta \le y \le H} \cr } } \right.$$$

The ratio $${{{P_A} - {P_B}} \over {{1 \over 2}\rho {u_0}^2}}$$ (where $${{P_A}}$$ and $${{P_B}}$$ are the pressure at section $$A$$ and $$B$$ respectively and $$\rho $$ is the density of the fluid ) is

A
$${1 \over {\left( {1 - 2{{\left. {\left( {\delta /H} \right)} \right)}^2}} \right.}} - 1$$
B
$${1 \over {{{\left( {1 - \left. {\left( {\delta /H} \right)} \right)} \right.}^2}}}$$
C
$${1 \over {{{\left( {1 - \left. {\left( {2\delta /H} \right)} \right)} \right.}^2}}} - 1$$
D
$${1 \over {{{\left( {1 + \left. {\left( {\delta /H} \right)} \right)} \right.}^2}}}$$
4
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider a steady incompressible flow through a channel as shown below. GATE ME 2007 Fluid Mechanics - Boundary Layer Question 4 English

The velocity profile is uniform with a value of $${u_0}$$ at the inlet section $$A$$. The velocity profile at section B down stream is

$$$u\left\{ {\matrix{ {{V_m}{y \over \delta },} & {0 \le y \le \delta } \cr {{V_m},} & {\delta \le y \le H - \delta } \cr {{V_m}{{H - y} \over \delta },} & {H - \delta \le y \le H} \cr } } \right.$$$

The ratio $${{{V_m}} \over {{u_0}}}$$ is

A
$${1 \over {1 - 2\left( {\delta /H} \right)}}$$
B
$$1$$
C
$${1 \over {1 - \left( {\delta /H} \right)}}$$
D
$${1 \over {1 + \left( {\delta /H} \right)}}$$
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