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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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GATE2016-2-18
The heat removal rate from a refrigerated space and the power input to the compressor are $7.2$ $kW$ and $1.8$ $kW$, respectively. The coefficient of performance (COP) of the refrigerator is ______
The heat removal rate from a refrigerated space and the power input to the compressor are $7.2$ $kW$ and $1.8$ $kW$, respectively. The coefficient of performance (COP) of...
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GATE2016-1-4
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is $μ$. The standard deviation for this distribution is given by $\sqrt{\mu }$ $\mu ^2$ $\mu$ $1/\mu$
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is $μ$. The standard deviation for this distribution is given by$\sqrt{\...
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GATE2015-3-18
A weight of $500$ $N$ is supported by two metallic ropes as shown in the figure. The values of tensions $T_1$ and $T_2$ are respectively $433$ $N$ and $250$ $N$ $250$ $N$ and $433$ $N$ $353.5$ $N$ and $250$ $N$ $250$ $N$ and $353.5$ $N$
A weight of $500$ $N$ is supported by two metallic ropes as shown in the figure. The values of tensions $T_1$ and $T_2$ are respectively$433$ $N$ and $250$ $N$$250$ $N$ a...
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GATE2015-2-32
For the truss shown in the figure, the magnitude of the force (in $kN$) in the member SR is $10$ $14.14$ $20$ $28.28$
For the truss shown in the figure, the magnitude of the force (in $kN$) in the member SR is$10$$14.14$$20$$28.28$
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GATE Mechanical 2015 Set 1 | GA Question: 1
Choose the appropriate word/phrase, out of the four options given below,to complete the following sentence: Dhoni,as well as the other team members of Indian team,______present on the occasion were was has have
Choose the appropriate word/phrase, out of the four options given below,to complete the following sentence:Dhoni,as well as the other team members of Indian team,______pr...
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GATE Mechanical 2016 Set 1 | GA Question: 3
Despite the new medicine’s ______________ in treating diabetes, it is not ______________widely. effectiveness --- prescribed availability --- used prescription --- available acceptance --- proscribed
Despite the new medicine’s ______________ in treating diabetes, it is not ______________widely.effectiveness - prescribedavailability - usedprescription - availablea...
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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}$$-15e^...
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GATE2016-1-5
Solve the equation $x=10\cos(x)$ using the Newton-Raphson method. The initial guess is $x=\pi /4$. The value of the predicted root after the first iteration, up to second decimal, is ________
Solve the equation $x=10\cos(x)$ using the Newton-Raphson method. The initial guess is $x=\pi /4$. The value of the predicted root after the first iteration, up to second...
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GATE2015-1-39
For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively $122.47$ $kN$ and $50$ $kN$ $70.71$ $kN$ and $100$ $kN$ $70.71$ $kN$ and $50$ $kN$ $81.65$ $kN$ and $100$ $kN$
For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively$122.47$ $kN$ and $50$ $kN$$70.71$ $kN$ and $100$ $kN...
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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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GATE2016-3-16
Grashof number signifies the ratio of inertia force to viscous force buoyancy force to viscous force buoyancy force to inertia force inertia force to surface tension force
Grashof number signifies the ratio ofinertia force to viscous forcebuoyancy force to viscous forcebuoyancy force to inertia forceinertia force to surface tension force
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