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GATE Mechanical 2014 Set 4 | Question: 12
As the temperature increases, the thermal conductivity of a gas increases decreases remains constant increases up to a certain temperature and then decreases
As the temperature increases, the thermal conductivity of a gas increasesdecreasesremains constantincreases up to a certain temperature and then decreases
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GATE Mechanical 2014 Set 4 | Question: 10
A point mass is executing simple harmonic motion with an amplitude of $10$ $mm$ and frequency of $4$ $Hz$. The maximum acceleration ($m/s^2$) of the mass is _______
A point mass is executing simple harmonic motion with an amplitude of $10$ $mm$ and frequency of $4$ $Hz$. The maximum acceleration ($m/s^2$) of the mass is _______
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GATE Mechanical 2014 Set 4 | Question: 8
Which one of the following is used to convert a rotational motion into a translational motion? Bevel gears Double helical gears Worm gears Rack and pinion gears
Which one of the following is used to convert a rotational motion into a translational motion?Bevel gearsDouble helical gearsWorm gearsRack and pinion gears
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GATE Mechanical 2014 Set 4 | Question: 6
In a statically determinate plane truss, the number of joints $(j)$ and the number of members $(m)$ are related by $j = 2m – 3$ $m = 2j + 1$ $m = 2j – 3$ $m = 2j − 1$
In a statically determinate plane truss, the number of joints $(j)$ and the number of members $(m)$ are related by$j = 2m – 3$$m = 2j + 1$$m = 2j – 3$$m = 2j − 1$
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GATE Mechanical 2014 Set 4 | Question: 5
Laplace transform of $\cos(\omega t)$ is $\dfrac{s}{s^2+\omega ^2}$. The Laplace transform of $e^{-2t} \cos(4t)$ is $\dfrac{s-2}{(s-2)^2+16} \\$ $\dfrac{s+2}{(s-2)^2+16} \\$ $\dfrac{s-2}{(s+2)^2+16} \\$ $\dfrac{s+2}{(s+2)^2+16}$
Laplace transform of $\cos(\omega t)$ is $\dfrac{s}{s^2+\omega ^2}$. The Laplace transform of $e^{-2t} \cos(4t)$ is$\dfrac{s-2}{(s-2)^2+16} \\$$\dfrac{s+2}{(s-2)^2+16} \\...
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GATE Mechanical 2014 Set 4 | Question: 3
The solution of the initial value problem $\dfrac{dy}{dx}=-2xy$ ; $y(0)=2$ is $1+e^{{-x}^2}$ $2e^{{-x}^2}$ $1+e^{{x}^2}$ $2e^{{x}^2}$
The solution of the initial value problem $\dfrac{dy}{dx}=-2xy$ ; $y(0)=2$ is$1+e^{{-x}^2}$$2e^{{-x}^2}$$1+e^{{x}^2}$$2e^{{x}^2}$
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GATE Mechanical 2014 Set 4 | Question: 2
The value of the integral $\int_{0}^{2}\dfrac{(x-1)^2\sin(x-1)}{(x-1)^2+\cos(x-1)}dx$ is $3$ $0$ $-1$ $-2$
The value of the integral $$\int_{0}^{2}\dfrac{(x-1)^2\sin(x-1)}{(x-1)^2+\cos(x-1)}dx$$ is$3$$0$$-1$$-2$
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GATE Mechanical 2014 Set 4 | Question: 1
Which one of the following equations is a correct identity for arbitrary $3 \times 3$ real matrices $P$, $Q$ and $R$? $P(Q+R)=PQ+RP$ $(P-Q)^2 = P^2 -2PQ -Q^2$ $\text{det } (P+Q)= \text{det } P+ \text{det } Q$ $(P+Q)^2=P^2+PQ+QP+Q^2$
Which one of the following equations is a correct identity for arbitrary $3 \times 3$ real matrices $P$, $Q$ and $R$?$P(Q+R)=PQ+RP$$(P-Q)^2 = P^2 -2PQ -Q^2$$\text{det } ...
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GATE Mechanical 2014 Set 3 | GA Question: 8
A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in $km$ per hour.
A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as torow downstream, then find the stream velocity in $km$ per hour.
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GATE Mechanical 2014 Set 3 | GA Question: 5
In which of the following options will the expression $P < M$ be definitely true? $M < R > P > S$ $M > S < P < F$ $Q < M < F = P$ $P = A < R < M$
In which of the following options will the expression $P < M$ be definitely true?$M < R P S$$M S < P < F$$Q < M < F = P$$P = A < R < M$
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GATE Mechanical 2014 Set 3 | GA Question: 3
'Advice' is ________________. a verb a noun an adjective both a verb and a noun
'Advice' is ________________.a verba nounan adjectiveboth a verb and a noun
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GATE Mechanical 2014 Set 3 | GA Question: 2
The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupee has ____________. depressed depreciated appreciated stabilized
The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupeehas ____________.depresseddepreciatedappreciatedstabilized
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GATE Mechanical 2014 Set 3 | Question: 49
A diesel engine has a compression ratio of $17$ and cut-off takes place at $10\%$ of the stroke.Assuming ratio of specific heats $(\gamma)$ as $1.4$, the air-standard efficiency (in percent) is _______
A diesel engine has a compression ratio of $17$ and cut-off takes place at $10\%$ of the stroke.Assuming ratio of specific heats $(\gamma)$ as $1.4$, the air-standard eff...
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GATE Mechanical 2014 Set 3 | Question: 39
Consider an objective function $Z(x_1,x_2)=3x_1+9x_2$ and the constraints $x_1+x_2 \leq 8$ $x_1+2x_2 \leq 4$ $x_1 \geq 0$ , $x_2 \geq 0$ The maximum value of the objective function is _______
Consider an objective function $Z(x_1,x_2)=3x_1+9x_2$ and the constraints$x_1+x_2 \leq 8$$x_1+2x_2 \leq 4$$x_1 \geq 0$ , $x_2 \geq 0$The maximum value of the objective...
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