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GATE2015-2-27
The surface integral $\displaystyle{} \int \int_{s}^{ }\dfrac{1}{\pi }(9xi-3yj)\cdot nds$ over the sphere given by $x^2+y^2+z^2=9$ is
The surface integral $\displaystyle{} \int \int_{s}^{ }\dfrac{1}{\pi }(9xi-3yj)\cdot nds$ over the sphere given by $x^2+y^2+z^2=9$ is
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GATE2015-2-28
Consider the following differential equation: $\dfrac{dy}{dt}=-5y$; initial condition: $y=2$ at $t=0$. The value of $y$ at $t=3$ is $-5e^{-10}$ $2e^{-10}$ $2e^{-15}$ $-15e^{2}$
Consider the following differential equation:$\dfrac{dy}{dt}=-5y$; initial condition: $y=2$ at $t=0$. The value of $y$ at $t=3$ is$-5e^{-10}$$2e^{-10}$$2e^{-15}$$-15e^...
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GATE2015-2-32
For the truss shown in the figure, the magnitude of the force (in $kN$) in the member SR is $10$ $14.14$ $20$ $28.28$
For the truss shown in the figure, the magnitude of the force (in $kN$) in the member SR is$10$$14.14$$20$$28.28$
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GATE2015-2-34
In a plane stress condition, the components of stress at a point are $\sigma_x =20$ $MPa$, $\sigma _y=80$ $MPa$ and $\tau_ {xy}$=$40$ $MPa$ The maximum shear stress (in $MPa$) at the point is $20$ $25$ $50$ $100$
In a plane stress condition, the components of stress at a point are $\sigma_x =20$ $MPa$, $\sigma _y=80$ $MPa$ and $\tau_ {xy}$=$40$ $MPa$ The maximum shear stress (in $...
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GATE2015-2-15
If a foam insulation is added to a $4 \: cm$ outer diameter pipe as shown in the figure, the critical radius of insulation (in $cm$) is _____________
If a foam insulation is added to a $4 \: cm$ outer diameter pipe as shown in the figure, the critical radius of insulation (in $cm$) is _____________
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GATE2015-2-17
The COP of a Carnot heat pump operating between $6^{\circ}C$ and $37^{\circ}C$ is ___________
The COP of a Carnot heat pump operating between $6^{\circ}C$ and $37^{\circ}C$ is ___________
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GATE2015-2-18
The Van der Waals equation of state is $(p+\dfrac{a}{v^2})(v-b)=RT$ where $p$ is pressure, $v$ is specific volume, $T$ is temperature and $R$ is characteristic gas constant. The SI unit of $a$ is $J/kg – K $ $m^3/kg$ $m^5/kg-s^2$ $Pa/kg$
The Van der Waals equation of state is $(p+\dfrac{a}{v^2})(v-b)=RT$ where $p$ is pressure, $v$ is specific volume, $T$ is temperature and $R$ is characteristic gas const...
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GATE2015-2-21
The primary mechanism of material removal in electrochemical machining (ECM) is chemical corrosion etching ionic dissolution spark erosion
The primary mechanism of material removal in electrochemical machining (ECM) ischemical corrosionetchingionic dissolutionspark erosion
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GATE2015-2-23
During the development of a product, an entirely new process plan is made based on design logic, examination of geometry and tolerance information. This type of process planning is known as retrieval generative variant group technology based
During the development of a product, an entirely new process plan is made based on design logic, examination of geometry and tolerance information. This type of process p...
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GATE2015-2-1
At least one eigenvalue of a singular matrix is positive zero negative imaginary
At least one eigenvalue of a singular matrix ispositivezeronegativeimaginary
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GATE2015-2-2
At $x$ = $0$, the function $f(x) = \mid x \mid $ has a minimum a maximum a point of inflexion neither a maximum nor minimum
At $x$ = $0$, the function $f(x) = \mid x \mid $ hasa minimuma maximuma point of inflexionneither a maximum nor minimum
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GATE2015-2-3
Curl of vector $V(x,y,z)=2x^2i+3z^2j+y^3k$ at $x=y=z=1$ is $-3i$ $3i$ $3i-4j$ $3i-6k$
Curl of vector $V(x,y,z)=2x^2i+3z^2j+y^3k$ at $x=y=z=1$ is$-3i$$3i$$3i-4j$$3i-6k$
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GATE2015-2-4
The Laplace transform of $e^{i5t}$ where $i=\sqrt{-1}$, is $\dfrac{s-5i}{s^2-25} \\$ $\dfrac{s+5i}{s^2+25} \\$ $\dfrac{s+5i}{s^2-25} \\$ $\dfrac{s-5i}{s^2+25} $
The Laplace transform of $e^{i5t}$ where $i=\sqrt{-1}$, is$\dfrac{s-5i}{s^2-25} \\$$\dfrac{s+5i}{s^2+25} \\$$\dfrac{s+5i}{s^2-25} \\$$\dfrac{s-5i}{s^2+25} $
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GATE2015-2-5
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are $0.8$, $0.7$ and $0.5$. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is ___________
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are $0.8$, $0.7$ and $0...
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