Questions by piyag476

Choose the CORRECT set of functions, which are linearly dependent.$\sin x , \sin^2 x$ and $\cos^2 x$$\cos x , \sin x$ and $\tan x$$\cos 2x, \sin^2 x$ and $\cos^2 x$$\cos ...

Let $X$ be a normal random variable with mean $1$ and variance $4$. The probability $P \left \{ X \right.<\left. 0 \right \}$ is$0.5$greater than zero and less than $0.5...

A planar closed kinematic chain is formed with rigid links $PQ$ = $2.0$ $m$, $QR$ = $3.0$ $m$, $RS$ = $2.5$ $m$ and $SP$ = $2.7$ $m$ with all revolute joints. The link to...

If two nodes are observed at a frequency of $1800$ $rpm$ during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in $rpm$...

A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal...

A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $ba...

Consider one-dimensional steady state heat conduction along $x$-axis ($0 \leq x \leq L$), through a planewall with the boundary surfaces ($x = 0$ and $x = L$) maintained...

In order to have maximum power from a Pelton turbine, the bucket speed must beequal to the jet speed.equal to half of the jet speed.equal to twice the jet speed.independe...

For a ductile material, toughness is a measure ofresistance to scratchingability to absorb energy up to fractureability to absorb energy till elastic limitresistance to i...

A cube shaped casting solidifies in $5$ $min$. The solidification time in min for a cube of the same material, which is $8$ times heavier than the original casting, will ...

A steel bar $200$ $mm$ in diameter is turned at a feed of $0.25$ $mm$/$rev$ with a depth of cut of $4$ $mm$. The rotational speed of the workpiece is $160$ $rpm$. The mat...

In simple exponential smoothing forecasting, to give higher weightage to recent demand information, the smoothing constant must be close to$-1$$\text{zero}$$0.5$$1.0$

Customers arrive at a ticket counter at a rate of $50$ per $hr$ and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is $1$ $...

A metric thread of pitch $2$ $mm$ and thread angle $60^{\circ}$ is inspected for its pitch diameter using $3$-wire method. The diameter of the best size wire in $mm$ is$0...

Match the CORRECT pairs:$\begin{array}{llll} & \text{Process} & & \text{Characteristics/Applications} \\ P. & \text{Friction Welding} & 1. & \text{Non-consumable electrod...

In a rolling process, the state of stress of the material undergoing deformation ispure compressionpure shearcompression and sheartension and shear

Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity o...

The pressure, dry bulb temperature and relative humidity of air in a room are $1$ bar, $30^{\circ} C$ and $70\%$, respectively. If the saturated steam pressure at $30^{\c...

For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear st...

A link $OB$ is rotating with a constant angular velocity of $2$ $rad$/$s$ in counter clockwise direction and a block is sliding radially outward on it with an uniform vel...