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GATE2015-2-12
If the fluid velocity for a potential flow is given by $V(x,y)=u(x,y)i+v(x,y)j$ with usual notations, then the slope of the potential line at $(x,y)$ is $\dfrac{v}{u} \\$ $-\dfrac{u}{v} \\$ $\dfrac{u^2}{v^2} \\$ $\dfrac{u}{v}$
If the fluid velocity for a potential flow is given by $V(x,y)=u(x,y)i+v(x,y)j$ with usual notations, then the slope of the potential line at $(x,y)$ is$\dfrac{v}{u} \\$$...
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GATE2016-3-25
In PERT chart, the activity time distribution is Normal Binomial Poisson Beta
In PERT chart, the activity time distribution isNormalBinomialPoissonBeta
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GATE2016-2-1
The condition for which the eigenvalues of the matrix $A=\begin{bmatrix} 2 & 1\\ 1 & k \end{bmatrix}$ are positive, is $k > 1/2$ $k > −2$ $k > 0$ $k < −1/2$
The condition for which the eigenvalues of the matrix$A=\begin{bmatrix} 2 & 1\\ 1 & k \end{bmatrix}$are positive, is$k 1/2$$k −2$$k 0$$k < −1/2$
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GATE2015-2-34
In a plane stress condition, the components of stress at a point are $\sigma_x =20$ $MPa$, $\sigma _y=80$ $MPa$ and $\tau_ {xy}$=$40$ $MPa$ The maximum shear stress (in $MPa$) at the point is $20$ $25$ $50$ $100$
In a plane stress condition, the components of stress at a point are $\sigma_x =20$ $MPa$, $\sigma _y=80$ $MPa$ and $\tau_ {xy}$=$40$ $MPa$ The maximum shear stress (in $...
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GATE2015-1-49
The velocity field of an incompressible flow is given by $V=(a_1x+a_2y+a_3z)i+(b_1x+b_2y+b_3z)j+(c_1x+c_2y+c_3z)z$, where $a_1$ = $2$ and $c_3$ = − $4$. The value of $b_2$ is ___________
The velocity field of an incompressible flow is given by $V=(a_1x+a_2y+a_3z)i+(b_1x+b_2y+b_3z)j+(c_1x+c_2y+c_3z)z$, where $a_1$ = $2$ and $c_3$ = − $4$. The value of $b...
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GATE Mechanical 2024 | Question: 21
​​​​The allowance provided to a pattern for easy withdrawal from a sand mold is finishing allowance shrinkage allowance distortion allowance shake allowance
​​​​The allowance provided to a pattern for easy withdrawal from a sand mold isfinishing allowanceshrinkage allowancedistortion allowanceshake allowance
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GATE2015-2-2
At $x$ = $0$, the function $f(x) = \mid x \mid $ has a minimum a maximum a point of inflexion neither a maximum nor minimum
At $x$ = $0$, the function $f(x) = \mid x \mid $ hasa minimuma maximuma point of inflexionneither a maximum nor minimum
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GATE2016-2-2
The values of $x$ for which the function $f(x)=\dfrac{x^2-3x-4}{x^2+3x-4}$ is NOT continuous are $4$ and $−1$ $4$ and $1$ $-4$ and $1$ $−4$ and $−1$
The values of $x$ for which the function$$f(x)=\dfrac{x^2-3x-4}{x^2+3x-4}$$is NOT continuous are$4$ and $−1$$4$ and $1$$-4$ and $1$$−4$ and $−1$
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GATE2016-1-52
A $300$ $mm$ thick slab is being cold rolled using roll of $600$ $mm$ diameter. If the coefficient of friction is $0.08$, the maximum possible reduction (in $mm$) is __________
A $300$ $mm$ thick slab is being cold rolled using roll of $600$ $mm$ diameter. If the coefficient of friction is $0.08$, the maximum possible reduction (in $mm$) is ____...
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GATE2016-1-25
Match the following: ... $P-III, Q-II, R-I, S-IV$ $P-IV, Q-II, R-I, S-III$ $P-IV, Q-I, R-II, S-III$
Match the following:$\begin{array}{|l|l|l|l|} \hline P. & \text{Feeler guage} & I. & \text{Radius of an object} \\ \hline Q. & \text{Fillet guage} & II. & \text{Diameter ...
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GATE2016-1-3
$f(z)=u(x,y)+iv(x,y)$ is an analytic function of complex variable $z=x+iy$ where $i=\sqrt{-1}$. If $u(x,y)$=$2xy$ , then $v(x,y)$ may be expressed as $-x^2 + y^2 + $ constant $x^2 – y^2 +$ constant $x^2 + y^2 +$ constant $-(x^2 + y^2) +$ constant
$f(z)=u(x,y)+iv(x,y)$ is an analytic function of complex variable $z=x+iy$ where $i=\sqrt{-1}$. If $u(x,y)$=$2xy$ , then $v(x,y)$ may be expressed as$-x^2 + y^2 + $ const...
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GATE2015-1-5
Given two complex numbers $z_1=5+(5\sqrt{3})i$ and $z_2=\dfrac{2}{\sqrt{3}}+2i$ , the argument of $\dfrac{z_1}{z_2}$ in degrees is $0$ $30$ $60$ $90$
Given two complex numbers $z_1=5+(5\sqrt{3})i$ and $z_2=\dfrac{2}{\sqrt{3}}+2i$ , the argument of $\dfrac{z_1}{z_2}$ in degrees is$0$$30$$60$$90$
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GATE2015-1-2
Among the four normal distributions with probability density functions as shown below, which one has the lowest variance? $I$ $II$ $III$ $IV$
Among the four normal distributions with probability density functions as shown below, which one has the lowest variance?$I$$II$$III$$IV$
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GATE MOCK TEST(MADE EASY)
The area enclosed between the circles r=2a cos$\theta$ and r=a$\sqrt{2}$.
The area enclosed between the circles r=2a cos$\theta$ and r=a$\sqrt{2}$.
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GATE2016-1-1
The solution to the system of equations $\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is $6,2$ $-6,2$ $-6,-2$ $6,-2$
The solution to the system of equations$\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is$6,2$$-6,2$$...
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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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GATE Mechanical 2024 | Question: 42
The Levai type-$\text{A}$ train illustrated in the figure has gears with module $m=8 \mathrm{~mm} /$ tooth. Gears $2$ and $3$ have $19$ and $24$ teeth respectively. Gear $2$ is fixed and internal gear $4$ ... $\text{rev/min}$. (rounded off to $2$ decimal places)
The Levai type-$\text{A}$ train illustrated in the figure has gears with module $m=8 \mathrm{~mm} /$ tooth. Gears $2$ and $3$ have $19$ and $24$ teeth respectively. Gear ...
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GATE2016-3-5
The root of the function $f(x) = x^3+x-1$ obtained after first iteration on application of Newton-Raphson scheme using an initial guess of $x_0=1$ is $0.682$ $0.686$ $0.750$ $1.000$
The root of the function $f(x) = x^3+x-1$ obtained after first iteration on application of Newton-Raphson scheme using an initial guess of $x_0=1$ is$0.682$$0.686$$0.750$...
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GATE2016-2-23
The value of true strain produced in compressing a cylinder to half its original length is $0.69$ $-0.69$ $0.5$ $-0.5$
The value of true strain produced in compressing a cylinder to half its original length is$0.69$$-0.69$$0.5$$-0.5$
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