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In a new temperature scale degree(symbol)P ,the boiling point of water is 100 degree(symbol)P and the freezing point of water is 300 degree(symbol)P .Find the reading corresponding to 0 degree(symbol)P in centrigrade scale . Solve the question and explain each step properly with detailed solutions
asked Apr 11 in Thermodynamics Kumar Pranjal 120 points
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Consider an $n \times n$ matrix $\text{A}$ and a non-zero $n \times 1$ vector $\text{p}$. Their product $Ap=\alpha ^{2}p$, where $\alpha \in \Re$ and $\alpha \notin \left \{ -1,0,1 \right \}$. Based on the given information, the eigen value of $A^{2}$ is: $\alpha$ $\alpha ^{2}$ $\surd{\alpha }$ $\alpha ^{4}$
asked Mar 1 in Linear Algebra jothee 4.9k points
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If the Laplace transform of a function $f(t)$ is given by $\frac{s+3}{\left ( s+1 \right )\left ( s+2 \right )}$, then $f(0)$ is $0$ $\frac{1}{2}$ $1$ $\frac{3}{2}$
asked Mar 1 in Differential Equations jothee 4.9k points
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The mean and variance, respectively, of a binomial distribution for $n$ independent trails with the probability of success as $p$, are $\sqrt{np},np\left ( 1-2p \right )$ $\sqrt{np},\sqrt{np\left ( 1-p \right )}$ $np,np$ $np, np\left ( 1-p \right )$
asked Mar 1 in Probability and Statistics jothee 4.9k points
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The Cast Iron which possesses all the carbon in the combined form as cementite is known as Grey Cast Iron Spheroidal Cast Iron Malleable Cast Iron White Cast Iron
asked Mar 1 in Others jothee 4.9k points
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The size distribution of the powder particles used in Powder Metallurgy process can be determined by Laser scattering Laser reflection Laser absorption Laser penetration
asked Mar 1 in Others jothee 4.9k points
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In a $\text{CNC}$ machine tool, the function of an interpolator is to generate signal for the lubrication pump during machining error signal for tool radius compensation during machining $\text{NC}$ code from the part drawing during post processing reference signal prescribing the shape of the part to be machined
asked Mar 1 in Others jothee 4.9k points
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The machining process that involves ablation is Abrasive Jet Machining Chemical Machining Electrochemical Machining Laser Beam Machining
asked Mar 1 in Others jothee 4.9k points
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A $\text{PERT}$ network has $9$ activities on its critical path. The standard deviation of each activity on the critical path is $3$. The standard deviation of the critical path is $3$ $9$ $27$ $81$
asked Mar 1 in Probability and Statistics jothee 4.9k points
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The allowance provided in between a hole and a shaft is calculated from the difference between lower limit of the shaft and the upper limit of the hole upper limit of the shaft and the upper limit of the hole upper limit of the shaft and the lower limit of the hole lower limit of the shaft and the lower limit of the hole
asked Mar 1 in Others jothee 4.9k points
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In forced convective heat transfer, Stanton number $\text{(St)}$, Nusselt number $\text{(Nu)}$, Reynolds number $\text{(Re)}$ and Prandtl number $\text{(Pr)}$ are related as $St=\frac{Nu}{Re\:Pr}$ $St=\frac{Nu\:Pr}{Re}$ $\text{St = Nu Pr Re}$ $St=\frac{Nu\:Re}{Pr}$
asked Mar 1 in Others jothee 4.9k points
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For a two-dimensional, incompressible flow having velocity components $u$ and $v$ in the $x$ and $y$ directions, respectively, the expression $\frac{\partial \left ( u^{2} \right )}{\partial x}+\frac{\partial \left ( uv \right )}{\partial y}$ ... $u\frac{\partial u}{\partial x}+v\frac{\partial u}{\partial y}$
asked Mar 1 in Calculus jothee 4.9k points
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Which of the following is responsible for eddy viscosity (or turbulent viscosity) in a turbulent boundary layer on a flat plate? Nikuradse stresses Reynolds stresses Boussinesq stresses Prandtl stresses
asked Mar 1 in Others jothee 4.9k points
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A two dimensional flow has velocities in $x$ and $y$ directions given by $u = 2xyt$ and $v = -y^{2}t$, where $\text{t}$ denotes time. The equation for streamline passing through $x=1,\:y=1$ is $x^{2}y=1$ $xy^{2}=1$ $x^{2}y^{2}=1$ $x/y^{2}=1$
asked Mar 1 in Calculus jothee 4.9k points
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A plane truss $\text{PQRS}$ ($\text{PQ=RS}$, and $\angle PQR=90^{\circ}$) is shown in the figure. The forces in the members $\text{PR}$ and $\text{RS}$, respectively, are _____________________ $F\sqrt{2}$ (tensile) and $\text{F}$ (tensile) $F\sqrt{2}$ (tensile) and $\text{F}$ (compressive) $\text{F}$ (compressive) and $F\sqrt{2}$ (compressive) $\text{F}$ (tensile) and $F\sqrt{2}$ (tensile)
asked Mar 1 in Others jothee 4.9k points
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Consider the mechanism shown in the figure. There is rolling contact without slip between the disc and ground. Select the correct statement about instantaneous centers in the mechanism. Only points $\text{P, Q}$, and $\text{S}$ ... centers of mechanism All points $\text{P, Q, R, S, T}$ and $\text{U}$ are instantaneous centers of mechanism
asked Mar 1 in Others jothee 4.9k points
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The controlling force curves $\text{P, Q,}$ and $\text{R}$ for a spring controlled governor are shown in the figure, where $r_{1}$ and $r_{2}$ are any two radii of rotation. The characteristics shown by the curves are $\text{P}$ - Unstable; $\text{Q}$ - Stable; $\text{R}$ ... ; $\text{Q}$ - Isochronous; $\text{R}$ - Unstable $\text{P}$ - Stable; $\text{Q}$ - Unstable; $\text{R}$ - Isochronous
asked Mar 1 in Others jothee 4.9k points
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The von Mises stress at a point in a body subjected to forces is proportional to the square root of the total strain energy per unit volume plastic strain energy per unit volume dilatational strain energy per unit volume distortional strain energy per unit volume
asked Mar 1 in Others jothee 4.9k points
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Value of $\left ( 1+i \right )^{8}$, where $i=\sqrt{-1}$, is equal to $4$ $16$ $4i$ $16i$
asked Mar 1 in Calculus jothee 4.9k points
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Consider adiabatic flow of air through a duct. At a given point in the duct, velocity of air is $\text{300 m/s}$, temperature is $\text{330 K}$ and pressure is $\text{180 kPa}$. Assume that the air behaves as a perfect gas with constant $c_p=1.005 \text{ kJ/kg.K}$. The stagnation temperature at this point is _______ $\text{K} (\textit{round off to two decimal places}$).
asked Mar 1 in Others jothee 4.9k points
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Consider an ideal vapour compression refrigeration cycle working on $\text{R-134a}$ refrigerant. The $\text{COP}$ of the cycle is $10$ and the refrigeration capacity is $\text{150 kJ/kg}$. The heat rejected by the refrigerant in the condenser is __________ $\text{kJ/kg} (\textit{round off to the nearest integer}$).
asked Mar 1 in Others jothee 4.9k points
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A rigid tank of volume $50 \text{ m}^{3}$ contains a pure substance as a saturated liquid vapour mixture at $\text{400 kPa}$. Of the total mass of the mixture, $20\%$ mass is liquid and $80\%$ mass is vapour. Properties at $\text{400 kPa}$ ... $/kg}$. The total mass of liquid vapour mixture in the tank is _______ $\text{kg } (\textit{round off to the nearest integer}$).
asked Mar 1 in Others jothee 4.9k points
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An object is moving with a Mach number of $0.6$ in an ideal gas environment, which is at a temperature of $\text{350 K}$. The gas constant is $\text{320 J/kg.K}$ and ratio of specific heats is $1.3$. The speed of object is _________ $\text{m/s} (\textit{round off to the nearest integer}$).
asked Mar 1 in Others jothee 4.9k points
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A column with one end fixed and one end free has a critical buckling load of $\text{100 N}$. For the same column, if the free end is replaced with a pinned end then the critical buckling load will be _______ $\text{N}\; (\textit{round off to the nearest integer}$).
asked Mar 1 in Others jothee 4.9k points
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A steel cubic block of side $\text{200 mm}$ is subjected to hydrostatic pressure of $\text{250 N/mm}^{2}$. The elastic modulus is $2 \times 10^{5}\:\text{N/mm}^{2}$ and Poisson ratio is $0.3$ for steel. The side of the block is reduced by _________ $\text{mm}\: (\textit{round off to two decimal places}$).
asked Mar 1 in Others jothee 4.9k points
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The value of $\int_{0}^{^{\pi }/_{2}}\int_{0}^{\cos\theta }r\sin\theta \:dr\:d\theta$ is $0$ $\frac{1}{6}$ $\frac{4}{3}$ $\pi$
asked Mar 1 in Calculus jothee 4.9k points
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Let the superscript $\text{T}$ represent the transpose operation. Consider the function $f(x)=\frac{1}{2}x^TQx-r^Tx$, where $x$ and $r$ are $n \times 1$ vectors and $\text{Q}$ is a symmetric $n \times n$ matrix. The stationary point of $f(x)$ is $Q^{T}r$ $Q^{-1}r$ $\frac{r}{r^{T}r}$ $r$
asked Mar 1 in Linear Algebra jothee 4.9k points
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Consider the following differential equation $\left ( 1+y \right )\frac{dy}{dx}=y.$ The solution of the equation that satisfies condition $y(1)=1$ is $2ye^{y}=e^{x}+e$ $y^{2}e^{y}=e^{x}$ $ye^{y}=e^{x}$ $\left ( 1+y \right )e^{y}=2e^{x}$
asked Mar 1 in Differential Equations jothee 4.9k points
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A factory produces $m (i= 1,2,\cdots, m)$ products, each of which requires processing on $n(j = 1,2,\cdots, n)$ workstations. Let $a_{ij}$ be the amount of processing time that one unit of the $i^{th}$ product requires on the $j^{th}$ ... $I_{it}=I_{i,t-1}+S_{it}-X_{it}\:\forall \:i,t$
asked Mar 1 in Others jothee 4.9k points
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Ambient pressure, temperature, and relative humidity at a location are $\text{101 kPa}$, $\text{300 K}$, and $60\%$, respectively. The saturation pressure of the water at $\text{300 K}$ is $\text{3.6 kPa}$. The specific humidity of ambient air is ____________________ $\text{g/kg}$ of dry air. $21.4$ $35.1$ $21.9$ $13.6$
asked Mar 1 in Others jothee 4.9k points
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A plane frame $\text{PQR}$ (fixed at $\text{P}$ and free at $\text{R}$) is shown in the figure. Both members ($\text{PQ}$ and $\text{QR}$) have length, $\text{L}$, and flexural rigidity, $\text{EI}$. Neglecting the effect of axial stress and transverse shear, the horizontal deflection at free end, R, is $\frac{5FL^{3}}{3EI}$ $\frac{4FL^{3}}{3EI}$ $\frac{2FL^{3}}{3EI}$ $\frac{FL^{3}}{3EI}$
asked Mar 1 in Others jothee 4.9k points
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A power transmission mechanism consists of a belt drive and a gear train as shown in the figure. Diameters of pulleys of belt drive and number of teeth $\text{(T)}$ on the gears $2$ to $7$ are indicated in the figure. The speed and direction of rotation of gear $7$, ... $\text{255.68 rpm}$; anticlockwise $\text{575.28 rpm}$; clockwise $\text{575.28 rpm}$; anticlockwise
asked Mar 1 in Others jothee 4.9k points
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Consider the system shown in the figure. A rope goes over a pulley. A mass, $\text{m}$, is hanging from the rope. A spring of stiffness, $\text{k}$, is attached at one end of the rope. Assume rope is inextensible, massless and there is no slip between pulley and rope. The pulley radius is $\text{r}$ and its ... $\sqrt{\frac{kr^{2}}{J + mr^{2}}}$ $\sqrt{k/m}$ $\sqrt{\frac{kr^{2}}{J}}$
asked Mar 1 in Others jothee 4.9k points
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Find the positive real root of $x^3-x-3=0$ using Newton-Raphson method. lf the starting guess $(x_{0})$ is $2,$ the numerical value of the root after two iterations $(x_{2})$ is ______ ($\textit{round off to two decimal places}$).
asked Mar 1 in Numerical Methods jothee 4.9k points
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Daily production capacity of a bearing manufacturing company is $30000$ bearings. The daily demand of the bearing is $15000$. The holding cost per year of keeping a bearing in the inventory is $₹20$. The setup cost for the production of a batch is $₹1800$. Assuming $300$ working days in a year, the economic batch quantity in number of bearings is ______ ($\textit{in integer}$).
asked Mar 1 in Others jothee 4.9k points
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A cast product of a particular material has dimensions $75\: \text{mm} \times 125\: \text{mm} \times 20 \:\text{mm}$. The total solidification time for the cast product is found to be $2.0$ minutes as calculated using Chvorinov's rule having the index, $n =2$. ... $\text{50 mm}$, the total solidification time will be ______ minutes ($\textit{round off to two decimal places}$).
asked Mar 1 in Others jothee 4.9k points
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A spot welding operation performed on two pieces of steel yielded a nugget with a diameter of $\text{5 mm}$ and a thickness of $\text{1 mm}$. The welding time was $\text{0.1 s}$. The melting energy for the steel is $\text{20 J/mm}^{3}$. Assuming ... as $10\%$, the power required for performing the spot welding operation is ________ $\text{kW} (\textit{round off to two decimal places}$).
asked Mar 1 in Others jothee 4.9k points
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A surface grinding operation has been performed on a Cast Iron plate having dimensions $\text{300 mm} (\textit{length}) \times \text{10 mm} (\textit{width})\times\text{50 mm}({height}$). The grinding was performed using an alumina wheel having a wheel diameter ... specific grinding energy under the aforesaid grinding conditions is ______ $\text{J/mm}^{3} (\textit{round off to one decimal place}$).
asked Mar 1 in Others jothee 4.9k points
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