Recent questions tagged gateme-2025

The values of a function $f$ obtained for different values of $x$ are shown in the table below.$x$00.250.50.751.0$f(x)$0.92.01.51.80.4Using Simpson's one-third rule,$\int...

During a welding operation, thermal power of $2500 \: W$ is incident normally on a metallic surface. As shown in the figure below (figure is NOT to scale), the heated are...

A liquid metal is poured in a mold cavity of size $200 \mathrm{~mm} \times 200 \mathrm{~mm} \times 200 \mathrm{~mm}$. The cooling is uniform in all directions with NO add...

A block of mass $1 \: kg$ connected to a spring of stiffness $10 \mathrm{~N} \mathrm{~m}^{-1}$ is operating in a viscous medium such that the damping ratio (or damping fa...

​​In the closed interval $[0,3]$, the minimum value of the function $f$ given below is$$ f(x)=2 x^{3}-9 x^{2}+12 x$$ $0$$4$$5$$9$

​​​​​​Considering the actual demand and the forecast for a product given in the table below, the mean forecast error and the mean absolute deviation, respectively, arePer...

​​​​​Match the mold elements in the casting process with the most suitable functionMold elementFunctionPBlind riserICasting with internal cavityQChillIIMolten metal reser...

​​​​​Wire drawing operation is performed on a perfectly plastic metal without any strain hardening. Assuming no friction and no redundant work, the maximum possible perce...

​​​​​In relation to additive manufacturing, match the followingProcessLayer creation techniqueMaterialPStereolithography1Injection of powder streamIPaperQFused deposition...

​​​​​A plate of $30 \: mm$ thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of $500 \: mm$. The plate thickness is to be reduced t...

​​​​​The system shown in the figure below consists of a cantilever beam (with flexural rigidity $E I$ and negligible mass), a spring (with spring constant $K$ and negligi...

​​​For a fully-developed pipe flow, which of the following options is/are correct?For the same maximum velocity, the average velocity is higher in the turbulent regime th...

If $C$ is the unit circle in the complex plane with its center at the origin, then the value of $n$ in the equation given below is _________ (rounded off to $1$ decimal ...

The directional derivative of the function $f$ given below at the point $(1,0)$ in the direction of $\frac{1}{2}(\hat{\imath}+\sqrt{3} \hat{\jmath})$ is __________ (round...

Let $y$ be the solution of the differential equation with the initial conditions given below. If $y(x=2)=A \ln 2$, then the value of $A$ is ________ (rounded off to $2$ d...

Consider a cylindrical furnace of $5 \: m$ diameter and $5 \:m$ length with bottom, top and curved surfaces maintained at uniform temperatures of $800 \mathrm{~K}, 1500 \...

A pitot tube connected to a U-tube mercury manometer measures the speed of air flowing in the wind tunnel as shown in the figure below. The density of air is $1.23 \mathr...

Consider a velocity field $\vec{V}=3 z \hat{\imath}+0 \hat{\jmath}+C x \: \widehat{k}$, where $C$ is a constant. If the flow is irrotational, the value of $C$ is _______...

Water enters a tube of diameter, $\mathrm{D}=60 \mathrm{~mm}$ with mass flow rate of $0.01 \mathrm{~kg} \mathrm{~s}^{-1}$ as shown in the figure below. The inlet mean tem...

A thermal power plant is running with no reheat or regeneration. The specific enthalpy and specific entropy of steam at the turbine inlet are $3344 \mathrm{~kJ} \mathrm{~...

Consider a Pelton wheel of $1 \:m$ diameter. The magnitude of relative velocity of water at the bucket inlet is same as the magnitude of relative velocity of water at the...

The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction $(\varepsilon_{z z})$ is...

A simply supported beam of length $1 \: \text{m}$ is subjected to a uniformly distributed bending moment of $1 \: \text{N m}$ per $\text{m}$ throughout the length as show...

A pair of spur gears is required to maintain a velocity ratio of $1: 2$. The module of the gears is $10 \: mm$ and the addendum is $10 \: mm$. If the operating pressure a...

An offset slider-crank mechanism is shown in the figure below. The length of the stroke of the slider is __________ $mm$ (rounded off to nearest integer).